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Falsifiability - Wikipedia
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<span>Toggle The problem of induction and demarcation subsection</span> </button> <ul id="toc-The_problem_of_induction_and_demarcation-sublist" class="vector-toc-list"> <li id="toc-From_Hume's_problem_to_non_problematic_induction" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#From_Hume's_problem_to_non_problematic_induction"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>From Hume's problem to non problematic induction</span> </div> </a> <ul id="toc-From_Hume's_problem_to_non_problematic_induction-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-The_elusive_distinction_between_the_logic_of_science_and_its_applied_methodology" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#The_elusive_distinction_between_the_logic_of_science_and_its_applied_methodology"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>The elusive distinction between the logic of science and its applied methodology</span> </div> </a> <ul id="toc-The_elusive_distinction_between_the_logic_of_science_and_its_applied_methodology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Basic_statements_and_the_definition_of_falsifiability" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Basic_statements_and_the_definition_of_falsifiability"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Basic statements and the definition of falsifiability</span> </div> </a> <button aria-controls="toc-Basic_statements_and_the_definition_of_falsifiability-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Basic statements and the definition of falsifiability subsection</span> </button> <ul id="toc-Basic_statements_and_the_definition_of_falsifiability-sublist" class="vector-toc-list"> <li id="toc-Basic_statements" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Basic_statements"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Basic statements</span> </div> </a> <ul id="toc-Basic_statements-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-The_definition_of_falsifiability" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#The_definition_of_falsifiability"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>The definition of falsifiability</span> </div> </a> <ul id="toc-The_definition_of_falsifiability-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Initial_condition_and_prediction_in_falsifiers_of_laws" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Initial_condition_and_prediction_in_falsifiers_of_laws"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Initial condition and prediction in falsifiers of laws</span> </div> </a> <ul id="toc-Initial_condition_and_prediction_in_falsifiers_of_laws-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Falsifiability_in_model_theory" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Falsifiability_in_model_theory"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Falsifiability in model theory</span> </div> </a> <ul id="toc-Falsifiability_in_model_theory-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Examples_of_demarcation_and_applications" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Examples_of_demarcation_and_applications"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Examples of demarcation and applications</span> </div> </a> <button aria-controls="toc-Examples_of_demarcation_and_applications-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Examples of demarcation and applications subsection</span> </button> <ul id="toc-Examples_of_demarcation_and_applications-sublist" class="vector-toc-list"> <li id="toc-Newton's_theory" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Newton's_theory"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Newton's theory</span> </div> </a> <ul id="toc-Newton's_theory-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Einstein's_equivalence_principle" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Einstein's_equivalence_principle"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Einstein's equivalence principle</span> </div> </a> <ul id="toc-Einstein's_equivalence_principle-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Evolution" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Evolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Evolution</span> </div> </a> <ul id="toc-Evolution-sublist" class="vector-toc-list"> <li id="toc-Industrial_melanism" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Industrial_melanism"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3.1</span> <span>Industrial melanism</span> </div> </a> <ul id="toc-Industrial_melanism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Precambrian_rabbit" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Precambrian_rabbit"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3.2</span> <span>Precambrian rabbit</span> </div> </a> <ul id="toc-Precambrian_rabbit-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Simple_examples_of_unfalsifiable_statements" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Simple_examples_of_unfalsifiable_statements"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.4</span> <span>Simple examples of unfalsifiable statements</span> </div> </a> <ul id="toc-Simple_examples_of_unfalsifiable_statements-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Omphalos_hypothesis" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Omphalos_hypothesis"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.5</span> <span>Omphalos hypothesis</span> </div> </a> <ul id="toc-Omphalos_hypothesis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Useful_metaphysical_statements" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Useful_metaphysical_statements"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.6</span> <span>Useful metaphysical statements</span> </div> </a> <ul id="toc-Useful_metaphysical_statements-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Natural_selection" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Natural_selection"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.7</span> <span>Natural selection</span> </div> </a> <ul id="toc-Natural_selection-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mathematics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.8</span> <span>Mathematics</span> </div> </a> <ul id="toc-Mathematics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Historicism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Historicism"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.9</span> <span>Historicism</span> </div> </a> <ul id="toc-Historicism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Use_in_courts_of_law" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Use_in_courts_of_law"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.10</span> <span>Use in courts of law</span> </div> </a> <ul id="toc-Use_in_courts_of_law-sublist" class="vector-toc-list"> <li id="toc-McLean_v._Arkansas_case" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#McLean_v._Arkansas_case"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.10.1</span> <span><i>McLean v. Arkansas</i> case</span> </div> </a> <ul id="toc-McLean_v._Arkansas_case-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Daubert_standard" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Daubert_standard"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.10.2</span> <span>Daubert standard</span> </div> </a> <ul id="toc-Daubert_standard-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Connections_between_statistical_theories_and_falsifiability" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Connections_between_statistical_theories_and_falsifiability"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Connections between statistical theories and falsifiability</span> </div> </a> <ul id="toc-Connections_between_statistical_theories_and_falsifiability-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Lakatos's_falsificationism" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Lakatos's_falsificationism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Lakatos's falsificationism</span> </div> </a> <button aria-controls="toc-Lakatos's_falsificationism-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Lakatos's falsificationism subsection</span> </button> <ul id="toc-Lakatos's_falsificationism-sublist" class="vector-toc-list"> <li id="toc-Dogmatic_falsificationism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Dogmatic_falsificationism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>Dogmatic falsificationism</span> </div> </a> <ul id="toc-Dogmatic_falsificationism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Naive_falsificationism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Naive_falsificationism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.2</span> <span>Naive falsificationism</span> </div> </a> <ul id="toc-Naive_falsificationism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-From_the_problem_of_induction_to_falsificationism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#From_the_problem_of_induction_to_falsificationism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.3</span> <span>From the problem of induction to falsificationism</span> </div> </a> <ul id="toc-From_the_problem_of_induction_to_falsificationism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Falsificationism_in_Popper's_philosophy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Falsificationism_in_Popper's_philosophy"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.4</span> <span>Falsificationism in Popper's philosophy</span> </div> </a> <ul id="toc-Falsificationism_in_Popper's_philosophy-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Controversies" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Controversies"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Controversies</span> </div> </a> <button aria-controls="toc-Controversies-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Controversies subsection</span> </button> <ul id="toc-Controversies-sublist" class="vector-toc-list"> <li id="toc-Methodless_creativity_versus_inductive_methodology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Methodless_creativity_versus_inductive_methodology"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>Methodless creativity versus inductive methodology</span> </div> </a> <ul id="toc-Methodless_creativity_versus_inductive_methodology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ahistorical_versus_historiographical" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ahistorical_versus_historiographical"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.2</span> <span>Ahistorical versus historiographical</span> </div> </a> <ul id="toc-Ahistorical_versus_historiographical-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Normal_science_versus_revolutionary_science" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Normal_science_versus_revolutionary_science"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.3</span> <span>Normal science versus revolutionary science</span> </div> </a> <ul id="toc-Normal_science_versus_revolutionary_science-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Unfalsifiability_versus_falsity_of_astrology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Unfalsifiability_versus_falsity_of_astrology"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.4</span> <span>Unfalsifiability versus falsity of astrology</span> </div> </a> <ul id="toc-Unfalsifiability_versus_falsity_of_astrology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Epistemological_anarchism_vs_the_scientific_method" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Epistemological_anarchism_vs_the_scientific_method"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.5</span> <span>Epistemological anarchism vs the scientific method</span> </div> </a> <ul id="toc-Epistemological_anarchism_vs_the_scientific_method-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sokal_and_Bricmont" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Sokal_and_Bricmont"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.6</span> <span>Sokal and Bricmont</span> </div> </a> <ul id="toc-Sokal_and_Bricmont-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Abbreviated_references" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Abbreviated_references"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Abbreviated references</span> </div> </a> <ul id="toc-Abbreviated_references-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Further_reading" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Further_reading"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Further reading</span> </div> </a> <ul id="toc-Further_reading-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " 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Available in 46 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-46" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">46 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Vervalsbaarheid" title="Vervalsbaarheid – Afrikaans" lang="af" hreflang="af" data-title="Vervalsbaarheid" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Falsifikation" title="Falsifikation – Alemannic" lang="gsw" hreflang="gsw" data-title="Falsifikation" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%B0%E1%88%A8%E1%89%BD%E1%8A%90%E1%89%B5" title="ተረችነት – Amharic" lang="am" hreflang="am" data-title="ተረችነት" data-language-autonym="አማርኛ" data-language-local-name="Amharic" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%AD%D9%88%D8%B6%D9%8A%D8%A9" title="دحوضية – Arabic" lang="ar" hreflang="ar" data-title="دحوضية" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Falsifikasiya_edilm%C9%99" title="Falsifikasiya edilmə – Azerbaijani" lang="az" hreflang="az" data-title="Falsifikasiya edilmə" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A4%D0%B0%D0%BB%D1%81%D0%B8%D1%84%D0%B8%D1%86%D0%B8%D1%80%D1%83%D0%B5%D0%BC%D0%BE%D1%81%D1%82" title="Фалсифицируемост – Bulgarian" lang="bg" hreflang="bg" data-title="Фалсифицируемост" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Falsabilitat" title="Falsabilitat – Catalan" lang="ca" hreflang="ca" data-title="Falsabilitat" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Falzifikovatelnost" title="Falzifikovatelnost – Czech" lang="cs" hreflang="cs" data-title="Falzifikovatelnost" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Falsifikationisme" title="Falsifikationisme – Danish" lang="da" hreflang="da" data-title="Falsifikationisme" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Falsifikation" title="Falsifikation – German" lang="de" hreflang="de" data-title="Falsifikation" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Falsifitseeritavus" title="Falsifitseeritavus – Estonian" lang="et" hreflang="et" data-title="Falsifitseeritavus" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Falsabilidad" title="Falsabilidad – Spanish" lang="es" hreflang="es" data-title="Falsabilidad" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Malpruvebleco" title="Malpruvebleco – Esperanto" lang="eo" hreflang="eo" data-title="Malpruvebleco" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Faltsabilitate" title="Faltsabilitate – Basque" lang="eu" hreflang="eu" data-title="Faltsabilitate" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%A8%D8%B7%D8%A7%D9%84%E2%80%8C%D9%BE%D8%B0%DB%8C%D8%B1%DB%8C" title="ابطالپذیری – Persian" lang="fa" hreflang="fa" data-title="ابطالپذیری" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/R%C3%A9futabilit%C3%A9" title="Réfutabilité – French" lang="fr" hreflang="fr" data-title="Réfutabilité" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Falseamento" title="Falseamento – Galician" lang="gl" hreflang="gl" data-title="Falseamento" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B0%98%EC%A6%9D_%EA%B0%80%EB%8A%A5%EC%84%B1" title="반증 가능성 – Korean" lang="ko" hreflang="ko" data-title="반증 가능성" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%A5%D6%80%D6%84%D5%A5%D5%AC%D5%AB%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Հերքելիություն – Armenian" lang="hy" hreflang="hy" data-title="Հերքելիություն" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A4%BF%E0%A4%A5%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AA%E0%A4%A8%E0%A5%80%E0%A4%AF%E0%A4%A4%E0%A4%BE" title="मिथ्यापनीयता – Hindi" lang="hi" hreflang="hi" data-title="मिथ्यापनीयता" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Falsifiabilitas" title="Falsifiabilitas – Indonesian" lang="id" hreflang="id" data-title="Falsifiabilitas" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Hrekjanleiki" title="Hrekjanleiki – Icelandic" lang="is" hreflang="is" data-title="Hrekjanleiki" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Principio_di_falsificabilit%C3%A0" title="Principio di falsificabilità – Italian" lang="it" hreflang="it" data-title="Principio di falsificabilità" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%A4%D7%A8%D7%9B%D7%94" title="הפרכה – Hebrew" lang="he" hreflang="he" data-title="הפרכה" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Atsp%C4%93kojam%C4%ABba" title="Atspēkojamība – Latvian" lang="lv" hreflang="lv" data-title="Atspēkojamība" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Falsifieerbaarheid" title="Falsifieerbaarheid – Dutch" lang="nl" hreflang="nl" data-title="Falsifieerbaarheid" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8F%8D%E8%A8%BC%E5%8F%AF%E8%83%BD%E6%80%A7" title="反証可能性 – Japanese" lang="ja" hreflang="ja" data-title="反証可能性" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Falsifikasjon" title="Falsifikasjon – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Falsifikasjon" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Ajifatummaa" title="Ajifatummaa – Oromo" lang="om" hreflang="om" data-title="Ajifatummaa" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AF_%D8%A7%D8%A8%D8%B7%D8%A7%D9%84%DB%90%D8%AF%D9%88_%D9%88%DA%93%D8%AA%DB%8C%D8%A7" title="د ابطالېدو وړتیا – Pashto" lang="ps" hreflang="ps" data-title="د ابطالېدو وړتیا" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Falsyfikacja" title="Falsyfikacja – Polish" lang="pl" hreflang="pl" data-title="Falsyfikacja" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Falseabilidade" title="Falseabilidade – Portuguese" lang="pt" hreflang="pt" data-title="Falseabilidade" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Falsificabilitate" title="Falsificabilitate – Romanian" lang="ro" hreflang="ro" data-title="Falsificabilitate" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A4%D0%B0%D0%BB%D1%8C%D1%81%D0%B8%D1%84%D0%B8%D1%86%D0%B8%D1%80%D1%83%D0%B5%D0%BC%D0%BE%D1%81%D1%82%D1%8C" title="Фальсифицируемость – Russian" lang="ru" hreflang="ru" data-title="Фальсифицируемость" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Falsifiability" title="Falsifiability – Simple English" lang="en-simple" hreflang="en-simple" data-title="Falsifiability" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Falzifik%C3%A1cia" title="Falzifikácia – Slovak" lang="sk" hreflang="sk" data-title="Falzifikácia" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DB%95%DA%BE%DB%95%DA%B5%DB%95_%D8%AE%D8%B3%D8%AA%D9%86%DB%95%D9%88%DB%95" title="بەھەڵە خستنەوە – Central Kurdish" lang="ckb" hreflang="ckb" data-title="بەھەڵە خستنەوە" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Falsifikabilnost" title="Falsifikabilnost – Serbian" lang="sr" hreflang="sr" data-title="Falsifikabilnost" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Falsifiointi" title="Falsifiointi – Finnish" lang="fi" hreflang="fi" data-title="Falsifiointi" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Falsifierbarhet" title="Falsifierbarhet – Swedish" lang="sv" hreflang="sv" data-title="Falsifierbarhet" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%9E%E0%B8%B4%E0%B8%AA%E0%B8%B9%E0%B8%88%E0%B8%99%E0%B9%8C%E0%B8%A7%E0%B9%88%E0%B8%B2%E0%B9%80%E0%B8%9B%E0%B9%87%E0%B8%99%E0%B9%80%E0%B8%97%E0%B9%87%E0%B8%88" title="การพิสูจน์ว่าเป็นเท็จ – Thai" lang="th" hreflang="th" data-title="การพิสูจน์ว่าเป็นเท็จ" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Yanl%C4%B1%C5%9Flanabilirlik" title="Yanlışlanabilirlik – Turkish" lang="tr" hreflang="tr" data-title="Yanlışlanabilirlik" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A1%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D0%B2%D1%83%D0%B2%D0%B0%D0%BD%D1%96%D1%81%D1%82%D1%8C" title="Спростовуваність – Ukrainian" lang="uk" hreflang="uk" data-title="Спростовуваність" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/T%C3%ADnh_kh%E1%BA%A3_ph%E1%BB%A7_ch%E1%BB%A9ng" title="Tính khả phủ chứng – Vietnamese" lang="vi" hreflang="vi" data-title="Tính khả phủ chứng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8F%AF%E5%90%A6%E8%AD%89%E5%BA%A6" title="可否證度 – Cantonese" lang="yue" hreflang="yue" data-title="可否證度" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh 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href="/wiki/Wikipedia:Handling_trivia#Recommendations_for_handling_trivia" title="Wikipedia:Handling trivia">relocating</a> any relevant information, and removing excessive detail that may be against <a href="/wiki/Wikipedia:What_Wikipedia_is_not" title="Wikipedia:What Wikipedia is not">Wikipedia's inclusion policy</a>.</span> <span class="date-container"><i>(<span class="date">September 2024</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444" /><table class="box-Copy_edit plainlinks metadata ambox ambox-style ambox-Copy_edit" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Acap.svg/40px-Acap.svg.png" decoding="async" width="36" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Acap.svg/54px-Acap.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Acap.svg/72px-Acap.svg.png 2x" data-file-width="45" data-file-height="50" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article <b>may require <a href="/wiki/Wikipedia:Basic_copyediting" title="Wikipedia:Basic copyediting">copy editing</a> for grammar, style, cohesion, tone, or spelling</b>.<span class="hide-when-compact"> You can assist by <a href="/wiki/Special:EditPage/Falsifiability" title="Special:EditPage/Falsifiability">editing it</a>.</span> <span class="date-container"><i>(<span class="date">September 2024</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> </div> </div><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <p class="mw-empty-elt"> </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Black_Swans.jpg" class="mw-file-description"><img alt="Pair of black swans swimming" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Black_Swans.jpg/330px-Black_Swans.jpg" decoding="async" width="290" height="254" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Black_Swans.jpg/500px-Black_Swans.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/60/Black_Swans.jpg/580px-Black_Swans.jpg 2x" data-file-width="800" data-file-height="700" /></a><figcaption>Here are two <a href="/wiki/Black_swan" title="Black swan">black swans</a>, but even with no black swans to possibly falsify it, "All swans are white" would still be shown falsifiable by "Here is a black swan"—a black swan would still be a state of affairs, only an imaginary one.<sup id="cite_ref-Popperonstateofaffairs_1-0" class="reference"><a href="#cite_note-Popperonstateofaffairs-1"><span class="cite-bracket">[</span>A<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p><b>Falsifiability</b> (or <b>refutability</b>) is a <a href="/wiki/Deductive" class="mw-redirect" title="Deductive">deductive</a> standard of evaluation of scientific theories and hypotheses, introduced by the <a href="/wiki/Philosophy_of_science" title="Philosophy of science">philosopher of science</a> <a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a> in his book <i><a href="/wiki/The_Logic_of_Scientific_Discovery" title="The Logic of Scientific Discovery">The Logic of Scientific Discovery</a></i> (1934).<sup id="cite_ref-faithfultranslationofLoSD_2-0" class="reference"><a href="#cite_note-faithfultranslationofLoSD-2"><span class="cite-bracket">[</span>B<span class="cite-bracket">]</span></a></sup> A <a href="/wiki/Scientific_theory" title="Scientific theory">theory</a> or <a href="/wiki/Hypothesis" title="Hypothesis">hypothesis</a> is <i><b>falsifiable</b></i> if it can be logically contradicted by an <a href="/wiki/Empirical_test" class="mw-redirect" title="Empirical test">empirical test</a>. </p><p>Popper emphasized the asymmetry created by the relation of a universal law with basic observation statements<sup id="cite_ref-basicstatementsbreakthesymmetry_3-0" class="reference"><a href="#cite_note-basicstatementsbreakthesymmetry-3"><span class="cite-bracket">[</span>C<span class="cite-bracket">]</span></a></sup> and contrasted falsifiability to the intuitively similar concept of <a href="/wiki/Verifiability_(science)" class="mw-redirect" title="Verifiability (science)"><i>verifiability</i></a> that was then current in <a href="/wiki/Logical_positivism" title="Logical positivism">logical positivism</a>. He argued that the only way to verify a claim such as "All swans are white" would be if one could theoretically observe all swans,<sup id="cite_ref-blackswanimpossible_4-0" class="reference"><a href="#cite_note-blackswanimpossible-4"><span class="cite-bracket">[</span>D<span class="cite-bracket">]</span></a></sup> which is not possible. On the other hand, the falsifiability requirement for an anomalous instance, such as the observation of a single black swan, is theoretically reasonable and sufficient to logically falsify the claim. </p><p>Popper proposed falsifiability as the cornerstone solution to both the <a href="/wiki/Problem_of_induction" title="Problem of induction">problem of induction</a> and the <a href="/wiki/Demarcation_problem" title="Demarcation problem">problem of demarcation</a>. He insisted that, as a logical criterion, his falsifiability is distinct from the related concept "capacity to be proven wrong" discussed in <a href="#Falsificationism">Lakatos's falsificationism</a>.<sup id="cite_ref-cleardistinctioncomplete_5-0" class="reference"><a href="#cite_note-cleardistinctioncomplete-5"><span class="cite-bracket">[</span>E<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-twomeanings_6-0" class="reference"><a href="#cite_note-twomeanings-6"><span class="cite-bracket">[</span>F<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-somecontradiction_7-0" class="reference"><a href="#cite_note-somecontradiction-7"><span class="cite-bracket">[</span>G<span class="cite-bracket">]</span></a></sup> Even being a logical criterion, its purpose is to make the theory <a href="/wiki/Predictive_power" title="Predictive power">predictive</a> and <a href="/wiki/Testability" title="Testability">testable</a>, and thus useful in practice. </p><p>By contrast, the <a href="/wiki/Duhem%E2%80%93Quine_thesis" title="Duhem–Quine thesis">Duhem–Quine thesis</a> says that definitive experimental falsifications are impossible<sup id="cite_ref-FOOTNOTEMayo2018Sec._2.3_8-0" class="reference"><a href="#cite_note-FOOTNOTEMayo2018Sec._2.3-8"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> and that no scientific hypothesis is by itself capable of making predictions, because an <a href="/wiki/Empirical_method" class="mw-redirect" title="Empirical method">empirical</a> test of the hypothesis requires one or more background assumptions.<sup id="cite_ref-FOOTNOTEHarding1976X_9-0" class="reference"><a href="#cite_note-FOOTNOTEHarding1976X-9"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>Popper's response is that falsifiability does not have the Duhem problem<sup id="cite_ref-falsifiabilityasfalsificationproblems_10-0" class="reference"><a href="#cite_note-falsifiabilityasfalsificationproblems-10"><span class="cite-bracket">[</span>H<span class="cite-bracket">]</span></a></sup> because it is a logical criterion. Experimental research has the Duhem problem and other problems, such as the problem of induction,<sup id="cite_ref-inductionisalogicalfallacy_11-0" class="reference"><a href="#cite_note-inductionisalogicalfallacy-11"><span class="cite-bracket">[</span>I<span class="cite-bracket">]</span></a></sup> but, according to Popper, statistical tests, which are only possible when a theory is falsifiable, can still be useful within a <a href="/wiki/Critical_rationalism" title="Critical rationalism">critical discussion</a>. </p><p>As a key notion in the separation of science from <a href="/wiki/Non-science" title="Non-science">non-science</a> and <a href="/wiki/Pseudoscience" title="Pseudoscience">pseudoscience</a>, falsifiability has featured prominently in many scientific controversies and applications, even being used as legal precedent. However, falsifiability is not a <a href="/wiki/Necessity_and_sufficiency" title="Necessity and sufficiency">sufficient</a> condition for demarcating science as theories have to actually be tested in order to eliminate theories that are wrong. In scientific practice, this can cause theories to change from being falsified back to unfalsified, such as when the once-falsified <a href="/wiki/Geocentric_model" title="Geocentric model">geocentric</a> world view was restored as a viable reference frame within <a href="/wiki/Special_relativity" title="Special relativity">special relativity</a>. There is ambiguity surrounding the status of theories that cannot currently be tested.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="The_problem_of_induction_and_demarcation">The problem of induction and demarcation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=1" title="Edit section: The problem of induction and demarcation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Inductivism" title="Inductivism">Inductivism</a>, <a href="/wiki/Problem_of_induction" title="Problem of induction">Problem of induction</a>, and <a href="/wiki/Demarcation_problem" title="Demarcation problem">Demarcation problem</a></div> <p>One of the questions in the <a href="/wiki/Scientific_method" title="Scientific method">scientific method</a> is: how does one move from <a href="/wiki/Observation" title="Observation">observations</a> to <a href="/wiki/Scientific_law" title="Scientific law">scientific laws</a>? This is the problem of induction. Suppose we want to put the hypothesis that all swans are white to the test. We come across a white swan. We cannot <a href="/wiki/Validity_(logic)" title="Validity (logic)">validly</a> argue (or <i><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">induce</a></i>) from "here is a white swan" to "all swans are white"; doing so would require a <a href="/wiki/Logical_fallacy" class="mw-redirect" title="Logical fallacy">logical fallacy</a> such as, for example, <a href="/wiki/Affirming_the_consequent" title="Affirming the consequent">affirming the consequent</a>.<sup id="cite_ref-FOOTNOTEGrayling2019397_13-0" class="reference"><a href="#cite_note-FOOTNOTEGrayling2019397-13"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>Popper's idea to solve this problem is that while it is impossible to verify that every swan is white, finding a single black swan shows that <i>not</i> every swan is white. Such falsification uses the valid inference <i><a href="/wiki/Modus_tollens" title="Modus tollens">modus tollens</a></i>: if from a law <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}" /></span> we logically deduce <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.838ex; height:2.509ex;" alt="{\displaystyle Q}" /></span>, but what is observed is <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \neg Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">¬<!-- ¬ --></mi> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \neg Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fad34798abb0bbbc063c906e459f103a09b1660e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.389ex; height:2.509ex;" alt="{\displaystyle \neg Q}" /></span>, we infer that the law <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}" /></span> is false. For example, given the statement <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb4cfedfc4601f344b83b634f7537f553acb735b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.036ex; height:2.176ex;" alt="{\displaystyle L=}" /></span> "all swans are white", we can deduce <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/092323466dd26223940abbcb3ffa05af4c093034" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.292ex; height:2.509ex;" alt="{\displaystyle Q=}" /></span> "the specific swan here is white", but if what is observed is <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \neg Q=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">¬<!-- ¬ --></mi> <mi>Q</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \neg Q=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a630d343d4362750f509630953aff437ea57f2b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.842ex; height:2.509ex;" alt="{\displaystyle \neg Q=}" /></span> "the specific swan here is not white" (say black), then "all swans are white" is false. More accurately, the statement <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.838ex; height:2.509ex;" alt="{\displaystyle Q}" /></span> that can be deduced is broken into an initial condition and a prediction as in <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C\Rightarrow P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo stretchy="false">⇒<!-- ⇒ --></mo> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C\Rightarrow P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9a7266ee149c5b5af8493d18f96d983f5e58f10" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.126ex; height:2.176ex;" alt="{\displaystyle C\Rightarrow P}" /></span> in which <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2ecca00636c431ce91819438ebccf105c88709e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.22ex; height:2.176ex;" alt="{\displaystyle C=}" /></span> "the thing here is a swan" and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4db3adef01611d5cea6a0961ec02a8f1f867a15" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.199ex; height:2.176ex;" alt="{\displaystyle P=}" /></span> "the thing here is a white swan". If what is observed is C being true while P is false (formally, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C\wedge \neg P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>∧<!-- ∧ --></mo> <mi mathvariant="normal">¬<!-- ¬ --></mi> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C\wedge \neg P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53b090958281ecc0b61910fba9de545736b9f4da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.645ex; height:2.176ex;" alt="{\displaystyle C\wedge \neg P}" /></span>), we can infer that the law is false. </p><p>For Popper, induction is actually never needed in science.<sup id="cite_ref-neveruseinduction_14-0" class="reference"><a href="#cite_note-neveruseinduction-14"><span class="cite-bracket">[</span>J<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-inductionnotneeded_15-0" class="reference"><a href="#cite_note-inductionnotneeded-15"><span class="cite-bracket">[</span>K<span class="cite-bracket">]</span></a></sup> Instead, in Popper's view, laws are conjectured in a non-logical manner on the basis of expectations and predispositions.<sup id="cite_ref-FOOTNOTEPopper1972_16-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1972-16"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> This has led <a href="/wiki/David_Miller_(philosopher)" title="David Miller (philosopher)">David Miller</a>, a student and collaborator of Popper, to write "the mission is to classify truths, not to certify them".<sup id="cite_ref-FOOTNOTEMiller19941_17-0" class="reference"><a href="#cite_note-FOOTNOTEMiller19941-17"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> In contrast, the <a href="/wiki/Logical_empiricism" class="mw-redirect" title="Logical empiricism">logical empiricism</a> movement, which included such philosophers as <a href="/wiki/Moritz_Schlick" title="Moritz Schlick">Moritz Schlick</a>, <a href="/wiki/Rudolf_Carnap" title="Rudolf Carnap">Rudolf Carnap</a>, <a href="/wiki/Otto_Neurath" title="Otto Neurath">Otto Neurath</a>, and <a href="/wiki/A._J._Ayer" title="A. J. Ayer">A. J. Ayer</a> wanted to formalize the idea that, for a law to be scientific, it must be possible to argue on the basis of observations either in favor of its truth or its falsity. There was no consensus among these philosophers about how to achieve that, but the thought expressed by Mach's dictum that "where neither confirmation nor refutation is possible, science is not concerned" was accepted as a basic precept of critical reflection about science.<sup id="cite_ref-FOOTNOTEUebel2019_18-0" class="reference"><a href="#cite_note-FOOTNOTEUebel2019-18"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECreath2017_19-0" class="reference"><a href="#cite_note-FOOTNOTECreath2017-19"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEMacLennan2021Chap._8.1_20-0" class="reference"><a href="#cite_note-FOOTNOTEMacLennan2021Chap._8.1-20"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p><p>Popper said that a demarcation criterion was possible, but we have to use the <i>logical possibility</i> of falsifications, which is falsifiability. He cited his encounter with <a href="/wiki/Psychoanalysis" title="Psychoanalysis">psychoanalysis</a> in the 1910s. It did not matter what observation was presented, psychoanalysis could explain it. Unfortunately, the reason it could explain everything is that it did not exclude anything also.<sup id="cite_ref-OneThousandFoldAdler_21-0" class="reference"><a href="#cite_note-OneThousandFoldAdler-21"><span class="cite-bracket">[</span>L<span class="cite-bracket">]</span></a></sup> For Popper, this was a failure, because it meant that it could not make any prediction. From a logical standpoint, if one finds an observation that does not contradict a law, it does not mean that the law is true. A verification has no value in itself. But, if the law makes risky predictions and these are corroborated, Popper says, there is a reason to prefer this law over another law that makes less risky predictions or no predictions at all.<sup id="cite_ref-thorntonbetterifcorroborated_22-0" class="reference"><a href="#cite_note-thorntonbetterifcorroborated-22"><span class="cite-bracket">[</span>M<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-popperbetterifcorroborated_23-0" class="reference"><a href="#cite_note-popperbetterifcorroborated-23"><span class="cite-bracket">[</span>N<span class="cite-bracket">]</span></a></sup> In the <a href="#Basic_statements_and_the_definition_of_falsifiability">definition of falsifiability</a>, contradictions with observations are not used to support eventual falsifications, but for <i>logical</i> "falsifications" that show that the law makes risky predictions, which is completely different. </p><p>On the basic philosophical side of this issue, Popper said that some philosophers of the <a href="/wiki/Vienna_Circle" title="Vienna Circle">Vienna Circle</a> had mixed two different problems, that of meaning and that of demarcation, and had proposed in <a href="/wiki/Verificationism" title="Verificationism">verificationism</a> a single solution to both: a statement that could not be verified was considered meaningless. In opposition to this view, Popper said that there are meaningful theories that are not scientific, and that, accordingly, a criterion of meaningfulness does not coincide with a <a href="/wiki/Demarcation_problem" title="Demarcation problem">criterion of demarcation</a>.<sup id="cite_ref-britannicameaningvstestability_24-0" class="reference"><a href="#cite_note-britannicameaningvstestability-24"><span class="cite-bracket">[</span>O<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="From_Hume's_problem_to_non_problematic_induction"><span id="From_Hume.27s_problem_to_non_problematic_induction"></span>From Hume's problem to non problematic induction</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=2" title="Edit section: From Hume's problem to non problematic induction"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The problem of induction is often called Hume's problem. <a href="/wiki/David_Hume" title="David Hume">David Hume</a> studied how human beings obtain new knowledge that goes beyond known laws and observations, including how we can discover new laws. He understood that deductive logic could not explain this learning process and argued in favour of a mental or psychological process of learning that would not require deductive logic. He even argued that this learning process cannot be justified by any general rules, deductive or not.<sup id="cite_ref-FOOTNOTEThornton2007_25-0" class="reference"><a href="#cite_note-FOOTNOTEThornton2007-25"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> Popper accepted Hume's argument and therefore viewed progress in science as the result of quasi-induction, which does the same as induction, but has no inference rules to justify it.<sup id="cite_ref-FOOTNOTEPopper1959Sec._85_26-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959Sec._85-26"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEWatkins1984Sec._7.2_27-0" class="reference"><a href="#cite_note-FOOTNOTEWatkins1984Sec._7.2-27"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Philip_Johnson-Laird" title="Philip Johnson-Laird">Philip N. Johnson-Laird</a>, professor of psychology, also accepted Hume's conclusion that induction has no justification. For him induction does not require justification and therefore can exist in the same manner as Popper's quasi-induction does.<sup id="cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-0" class="reference"><a href="#cite_note-FOOTNOTEJohnson-Laird2006Chap._13-28"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>When Johnson-Laird says that no justification is needed, he does not refer to a general inductive method of justification that, to avoid a circular reasoning, would not itself require any justification. On the contrary, in agreement with Hume, he means that there is no general method of justification for induction and that's ok, because the induction steps do not require justification.<sup id="cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-1" class="reference"><a href="#cite_note-FOOTNOTEJohnson-Laird2006Chap._13-28"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Instead, these steps use <a href="/wiki/Inductive_reasoning" title="Inductive reasoning">patterns of induction</a>, which are not expected to have a general justification: they may or may not be applicable depending on the background knowledge. Johnson-Laird wrote: "[P]hilosophers have worried about which properties of objects warrant inductive inferences. The answer rests on knowledge: we don't infer that all the passengers on a plane are male because the first ten off the plane are men. We know that this observation doesn't rule out the possibility of a woman passenger."<sup id="cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-2" class="reference"><a href="#cite_note-FOOTNOTEJohnson-Laird2006Chap._13-28"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> The reasoning pattern that was not applied here is <a href="/wiki/Inductive_reasoning#Enumerative_induction" title="Inductive reasoning">enumerative induction</a>. </p><p>Popper was interested in the overall learning process in science, to quasi-induction, which he also called the "path of science".<sup id="cite_ref-FOOTNOTEPopper1959Sec._85_26-1" class="reference"><a href="#cite_note-FOOTNOTEPopper1959Sec._85-26"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> However, Popper did not show much interest in these reasoning patterns, which he globally referred to as psychologism.<sup id="cite_ref-FOOTNOTEPopper1959Sec_2_29-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959Sec_2-29"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> He did not deny the possibility of some kind of psychological explanation for the learning process, especially when psychology is seen as an extension of biology, but he felt that these biological explanations were not within the scope of epistemology.<sup id="cite_ref-Popperpsychologyshouldbebiology_30-0" class="reference"><a href="#cite_note-Popperpsychologyshouldbebiology-30"><span class="cite-bracket">[</span>P<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Popperepistemologywithoutbiology_31-0" class="reference"><a href="#cite_note-Popperepistemologywithoutbiology-31"><span class="cite-bracket">[</span>Q<span class="cite-bracket">]</span></a></sup> Popper proposed an evolutionary mechanism to explain the success of science,<sup id="cite_ref-FOOTNOTEPopper1972App._1.III_32-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1972App._1.III-32"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> which is much in line with Johnson-Laird's view that "induction is just something that animals, including human beings, do to make life possible",<sup id="cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-3" class="reference"><a href="#cite_note-FOOTNOTEJohnson-Laird2006Chap._13-28"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> but Popper did not consider it a part of his epistemology.<sup id="cite_ref-FOOTNOTEPopper1972App._1.II_33-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1972App._1.II-33"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> He wrote that his interest was mainly in the <i>logic</i> of science and that epistemology should be concerned with logical aspects only.<sup id="cite_ref-Popperagainstpsichologism_34-0" class="reference"><a href="#cite_note-Popperagainstpsichologism-34"><span class="cite-bracket">[</span>R<span class="cite-bracket">]</span></a></sup> Instead of asking why science succeeds he considered the pragmatic problem of induction.<sup id="cite_ref-FOOTNOTEPopper1972Sec._1.9_35-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1972Sec._1.9-35"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> This problem is not how to justify a theory or what is the global mechanism for the success of science but only what methodology do we use to pick one theory among theories that are already conjectured. His methodological answer to the latter question is that we pick the theory that is the most tested with the available technology: "the one, which in the light of our <i>critical discussion</i>, appears to be the best so far".<sup id="cite_ref-FOOTNOTEPopper1972Sec._1.9_35-1" class="reference"><a href="#cite_note-FOOTNOTEPopper1972Sec._1.9-35"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> By his own account, because only a negative approach was supported by logic, Popper adopted a negative methodology.<sup id="cite_ref-Popperabouthisnegativemethodology_36-0" class="reference"><a href="#cite_note-Popperabouthisnegativemethodology-36"><span class="cite-bracket">[</span>S<span class="cite-bracket">]</span></a></sup> The purpose of his methodology is to prevent "the policy of immunizing our theories against refutation". It also supports some "dogmatic attitude" in defending theories against criticism, because this allows the process to be more complete.<sup id="cite_ref-FOOTNOTEPopper197230_37-0" class="reference"><a href="#cite_note-FOOTNOTEPopper197230-37"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> This negative view of science was much criticized and not only by Johnson-Laird. </p><p>In practice, some steps based on observations can be justified under assumptions, which can be very natural. For example, Bayesian inductive logic<sup id="cite_ref-FOOTNOTEGelmanShalizi2013_38-0" class="reference"><a href="#cite_note-FOOTNOTEGelmanShalizi2013-38"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> is justified by theorems that make explicit assumptions. These theorems are obtained with deductive logic, not inductive logic. They are sometimes presented as steps of induction, because they refer to laws of probability, even though they do not go beyond deductive logic. This is yet a third notion of induction, which overlaps with deductive logic in the following sense that it is supported by it. These deductive steps are not really inductive, but the overall process that includes the creation of assumptions is inductive in the usual sense. In a <a href="/wiki/Fallibilist" class="mw-redirect" title="Fallibilist">fallibilist</a> perspective, a perspective that is widely accepted by philosophers, including Popper,<sup id="cite_ref-FOOTNOTEPopper1983xxxv_39-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1983xxxv-39"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> every logical step of learning only creates an assumption or reinstates one that was doubted—that is all that science logically does. </p> <div class="mw-heading mw-heading2"><h2 id="The_elusive_distinction_between_the_logic_of_science_and_its_applied_methodology">The elusive distinction between the logic of science and its applied methodology</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=3" title="Edit section: The elusive distinction between the logic of science and its applied methodology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Popper distinguished between the logic of science and its applied <i>methodology</i>.<sup id="cite_ref-cleardistinctioncomplete_5-1" class="reference"><a href="#cite_note-cleardistinctioncomplete-5"><span class="cite-bracket">[</span>E<span class="cite-bracket">]</span></a></sup> For example, the falsifiability of Newton's law of gravitation, as defined by Popper, depends purely on the logical relation it has with a statement such as "The brick fell upwards when released".<sup id="cite_ref-FOOTNOTEChalmers201362_40-0" class="reference"><a href="#cite_note-FOOTNOTEChalmers201362-40"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-appledancingexample_41-0" class="reference"><a href="#cite_note-appledancingexample-41"><span class="cite-bracket">[</span>T<span class="cite-bracket">]</span></a></sup> A brick that falls upwards would not alone falsify Newton's law of gravitation. The capacity to verify the absence of conditions such as a hidden string<sup id="cite_ref-invisiblestrings_42-0" class="reference"><a href="#cite_note-invisiblestrings-42"><span class="cite-bracket">[</span>U<span class="cite-bracket">]</span></a></sup> attached to the brick is also needed for this state of affairs<sup id="cite_ref-Popperonstateofaffairs_1-1" class="reference"><a href="#cite_note-Popperonstateofaffairs-1"><span class="cite-bracket">[</span>A<span class="cite-bracket">]</span></a></sup> to eventually falsify Newton's law of gravitation. However, these applied methodological considerations are irrelevant in falsifiability, because it is a logical criterion. The empirical requirement on the potential falsifier, also called the <i>material requirement</i>,<sup id="cite_ref-thematerialrequirement_43-0" class="reference"><a href="#cite_note-thematerialrequirement-43"><span class="cite-bracket">[</span>V<span class="cite-bracket">]</span></a></sup> is only that it is observable <a href="/wiki/Intersubjective_verifiability" title="Intersubjective verifiability">inter-subjectively</a> with existing technologies. There is no requirement that the potential falsifier can actually show the law to be false. The purely logical contradiction, together with the material requirement, are sufficient. The logical part consists of theories, statements, and their purely logical relationship together with this material requirement, which is needed for a connection with the methodological part. </p><p>The methodological part consists, in Popper's view, of informal rules, which are used to guess theories, accept observation statements as factual, etc. These include statistical tests: Popper is aware that observation statements are accepted with the help of statistical methods and that these involve methodological decisions.<sup id="cite_ref-FOOTNOTEPopper1959Sec._68_44-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959Sec._68-44"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> When this distinction is applied to the term "falsifiability", it corresponds to a distinction between two completely different meanings of the term. The same is true for the term "falsifiable". Popper said that he only uses "falsifiability" or "falsifiable" in reference to the logical side and that, when he refers to the methodological side, he speaks instead of "falsification" and its problems.<sup id="cite_ref-twomeanings_6-1" class="reference"><a href="#cite_note-twomeanings-6"><span class="cite-bracket">[</span>F<span class="cite-bracket">]</span></a></sup> </p><p>Popper said that methodological problems require proposing methodological rules. For example, one such rule is that, if one refuses to go along with falsifications, then one has retired oneself from the game of science.<sup id="cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksid0a5bLBbe_dMCpgPA32_32]_45-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksid0a5bLBbe_dMCpgPA32_32]-45"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> The logical side does not have such methodological problems, in particular with regard to the falsifiability of a theory, because basic statements are not required to be possible. Methodological rules are only needed in the context of actual falsifications. </p><p>So observations have two purposes in Popper's view. On the methodological side, observations can be used to show that a law is false, which Popper calls falsification. On the logical side, observations, which are purely logical constructions, do not show a law to be false, but contradict a law to show its falsifiability. Unlike falsifications and <i>free from the problems of falsification</i>, these contradictions establish the value of the law, which may eventually be corroborated. </p><p>Popper wrote that an entire literature exists because this distinction between the logical aspect and the methodological aspect was not observed.<sup id="cite_ref-somecontradiction_7-1" class="reference"><a href="#cite_note-somecontradiction-7"><span class="cite-bracket">[</span>G<span class="cite-bracket">]</span></a></sup> This is still seen in a more recent literature. For example, in their 2019 article <i>Evidence based medicine as science</i>, Vere and Gibson wrote "[falsifiability has] been considered problematic because theories are not simply tested through falsification but in conjunction with auxiliary assumptions and background knowledge."<sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Basic_statements_and_the_definition_of_falsifiability">Basic statements and the definition of falsifiability</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=4" title="Edit section: Basic statements and the definition of falsifiability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Basic_statements">Basic statements</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=5" title="Edit section: Basic statements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In Popper's view of science, statements of observation can be analyzed within a logical structure independently of any factual observations.<sup id="cite_ref-fourlinesoftesting_47-0" class="reference"><a href="#cite_note-fourlinesoftesting-47"><span class="cite-bracket">[</span>W<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-poppernoapriori_48-0" class="reference"><a href="#cite_note-poppernoapriori-48"><span class="cite-bracket">[</span>X<span class="cite-bracket">]</span></a></sup> The set of all purely logical observations that are considered constitutes the empirical basis. Popper calls them the <i>basic statements</i> or <i>test statements</i>. They are the statements that can be used to show the falsifiability of a theory. Popper says that basic statements do not have to be possible in practice. It is sufficient that they are accepted by convention as belonging to the empirical language, a language that allows <a href="/wiki/Intersubjective_verifiability" title="Intersubjective verifiability">intersubjective verifiability</a>: "they must be testable by intersubjective observation (the material requirement)".<sup id="cite_ref-FOOTNOTEShea2020[httpsieputmedupop-sciSH2c_Sec._2.c]_49-0" class="reference"><a href="#cite_note-FOOTNOTEShea2020[httpsieputmedupop-sciSH2c_Sec._2.c]-49"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-keuthbasicstatementsdependontechnology_50-0" class="reference"><a href="#cite_note-keuthbasicstatementsdependontechnology-50"><span class="cite-bracket">[</span>Y<span class="cite-bracket">]</span></a></sup> See the examples in section <a href="#Examples_of_demarcation_and_applications">§ Examples of demarcation and applications</a>. </p><p>In more than twelve pages of <i>The Logic of Scientific Discovery</i>,<sup id="cite_ref-FOOTNOTEPopper1959sec._13–15,_28_51-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959sec._13–15,_28-51"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> Popper discusses informally which statements among those that are considered in the logical structure are basic statements. A logical structure uses universal classes to define laws. For example, in the law "all swans are white" the concept of swans is a universal class. It corresponds to a set of properties that every swan must have. It is not restricted to the swans that exist, existed or will exist. Informally, a basic statement is simply a statement that concerns only a finite number of specific instances in universal classes. In particular, an existential statement such as "there exists a black swan" is not a basic statement, because it is not specific about the instance. On the other hand, "this swan here is black" is a basic statement. Popper says that it is a singular existential statement or simply a singular statement. So, basic statements are singular (existential) statements. </p> <div class="mw-heading mw-heading3"><h3 id="The_definition_of_falsifiability">The definition of falsifiability</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=6" title="Edit section: The definition of falsifiability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Thornton says that basic statements are statements that correspond to particular "observation-reports". He then gives Popper's definition of falsifiability: </p> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>"A theory is scientific if and only if it divides the class of basic statements into the following two non-empty sub-classes: (a) the class of all those basic statements with which it is inconsistent, or which it prohibits—this is the class of its potential falsifiers (i.e., those statements which, if true, falsify the whole theory), and (b) the class of those basic statements with which it is consistent, or which it permits (i.e., those statements which, if true, corroborate it, or bear it out)."</p><div class="templatequotecite">— <cite>Thornton, Stephen, <a href="#CITEREFThornton2016">Thornton 2016</a>, at the end of section 3</cite></div></blockquote> <p>As in the case of actual falsifiers, decisions must be taken by scientists to accept a logical structure and its associated empirical basis, but these are usually part of a background knowledge that scientists have in common and, often, no discussion is even necessary.<sup id="cite_ref-nodiscussionneededforbasicstatements_52-0" class="reference"><a href="#cite_note-nodiscussionneededforbasicstatements-52"><span class="cite-bracket">[</span>Z<span class="cite-bracket">]</span></a></sup> The first decision described by Lakatos<sup id="cite_ref-FOOTNOTELakatos197822_53-0" class="reference"><a href="#cite_note-FOOTNOTELakatos197822-53"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> is implicit in this agreement, but the other decisions are not needed. This agreement, if one can speak of agreement when there is not even a discussion, exists only in principle. This is where the distinction between the logical and methodological sides of science becomes important. When an actual falsifier is proposed, the technology used is considered in detail and, as described in section <a href="#Dogmatic_falsificationism">§ Dogmatic falsificationism</a>, an actual agreement is needed. This may require using a deeper empirical basis,<sup id="cite_ref-nosolidgrown_54-0" class="reference"><a href="#cite_note-nosolidgrown-54"><span class="cite-bracket">[</span>AA<span class="cite-bracket">]</span></a></sup> hidden within the current empirical basis, to make sure that the properties or values used in the falsifier were obtained correctly (<a href="#CITEREFAndersson2016">Andersson 2016</a> gives some examples). </p><p>Popper says that despite the fact that the empirical basis can be shaky, more comparable to a swamp than to solid ground,<sup id="cite_ref-nosolidgrown_54-1" class="reference"><a href="#cite_note-nosolidgrown-54"><span class="cite-bracket">[</span>AA<span class="cite-bracket">]</span></a></sup> the definition that is given above is simply the formalization of a natural requirement on scientific theories, without which the whole logical process of science<sup id="cite_ref-fourlinesoftesting_47-1" class="reference"><a href="#cite_note-fourlinesoftesting-47"><span class="cite-bracket">[</span>W<span class="cite-bracket">]</span></a></sup> would not be possible. </p> <div class="mw-heading mw-heading3"><h3 id="Initial_condition_and_prediction_in_falsifiers_of_laws">Initial condition and prediction in falsifiers of laws</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=7" title="Edit section: Initial condition and prediction in falsifiers of laws"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In his analysis of the scientific nature of universal laws, Popper arrived at the conclusion that laws must "allow us to deduce, roughly speaking, more <i>empirical</i> singular statements than we can deduce from the initial conditions alone."<sup id="cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]_55-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]-55"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> A singular statement that has one part only cannot contradict a universal law. A falsifier of a law has always two parts: the initial condition and the singular statement that contradicts the prediction. </p><p>However, there is no need to require that falsifiers have two parts in the definition itself. This removes the requirement that a falsifiable statement must make prediction. In this way, the definition is more general and allows the basic statements themselves to be falsifiable.<sup id="cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]_55-1" class="reference"><a href="#cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]-55"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> Criteria that require that <i>a law</i> must be predictive, just as is required by falsifiability (when applied to laws), Popper wrote, "have been put forward as criteria of the meaningfulness of sentences (rather than as criteria of demarcation applicable to theoretical systems) again and again after the publication of my book, even by critics who pooh-poohed my criterion of falsifiability."<sup id="cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA65_p._65_Footnote_*1]_56-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA65_p._65_Footnote_*1]-56"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Falsifiability_in_model_theory">Falsifiability in model theory</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=8" title="Edit section: Falsifiability in model theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Scientists such as the <a href="/wiki/List_of_Nobel_laureates" title="List of Nobel laureates">Nobel laureate</a> <a href="/wiki/Herbert_A._Simon" title="Herbert A. Simon">Herbert A. Simon</a> have studied the semantic aspects of the logical side of falsifiability.<sup id="cite_ref-FOOTNOTESimonGroen1973_57-0" class="reference"><a href="#cite_note-FOOTNOTESimonGroen1973-57"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTESimon1985_58-0" class="reference"><a href="#cite_note-FOOTNOTESimon1985-58"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> Here it is proposed that there are two formal requirements for a formally defined and stringent falsifiability that a scientific theory must satisfy to qualify as scientific: that they be <i>finitely</i> and <i>irrevocably</i> testable.<sup id="cite_ref-FOOTNOTERynasiewicz1983225–6_59-0" class="reference"><a href="#cite_note-FOOTNOTERynasiewicz1983225–6-59"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> These studies were done in the perspective that a logic is a relation between formal sentences in languages and a collection of mathematical structures, each of which is considered a model within model theory.<sup id="cite_ref-FOOTNOTERynasiewicz1983225–6_59-1" class="reference"><a href="#cite_note-FOOTNOTERynasiewicz1983225–6-59"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> The relation, usually denoted <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathfrak {A}}\models \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="fraktur">A</mi> </mrow> </mrow> <mo>⊨<!-- ⊨ --></mo> <mi>ϕ<!-- ϕ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathfrak {A}}\models \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8a7ab842d8d2ad241982e7141da0ac254fbbbab7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.359ex; height:2.843ex;" alt="{\displaystyle {\mathfrak {A}}\models \phi }" /></span>, says the formal sentence <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϕ<!-- ϕ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.385ex; height:2.509ex;" alt="{\displaystyle \phi }" /></span> is true when interpreted in the structure <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathfrak {A}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="fraktur">A</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathfrak {A}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/34aa92fbdb716183c034a2cfc30dafbaa51cfcd6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.669ex; height:2.176ex;" alt="{\displaystyle {\mathfrak {A}}}" /></span>—it provides the semantic of the languages.<sup id="cite_ref-modeltheoryperspective_60-0" class="reference"><a href="#cite_note-modeltheoryperspective-60"><span class="cite-bracket">[</span>AB<span class="cite-bracket">]</span></a></sup> According to <a href="/wiki/Robert_Rynasiewicz" title="Robert Rynasiewicz">Rynasiewicz</a>, in this semantic perspective, falsifiability as defined by Popper means that in some observation structure (in the collection) there exists a set of observations which refutes the theory.<sup id="cite_ref-FOOTNOTERynasiewicz1983Sec._2_61-0" class="reference"><a href="#cite_note-FOOTNOTERynasiewicz1983Sec._2-61"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup> An even stronger notion of falsifiability was considered, which requires, not only that there exists one structure with a contradicting set of observations, but also that all structures in the collection that cannot be expanded to a structure that satisfies <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϕ<!-- ϕ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.385ex; height:2.509ex;" alt="{\displaystyle \phi }" /></span> contain such a contradicting set of observations.<sup id="cite_ref-Rynasiewicz_62-0" class="reference"><a href="#cite_note-Rynasiewicz-62"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Examples_of_demarcation_and_applications">Examples of demarcation and applications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=9" title="Edit section: Examples of demarcation and applications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Newton's_theory"><span id="Newton.27s_theory"></span>Newton's theory</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=10" title="Edit section: Newton's theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Newton%27s_law_of_universal_gravitation" title="Newton's law of universal gravitation">Newton's law of universal gravitation</a></div> <p>In response to Lakatos who suggested that Newton's theory was as hard to show falsifiable as Freud's psychoanalytic theory, Popper gave the example of an apple that moves from the ground up to a branch and then starts to dance from one branch to another.<sup id="cite_ref-appledancingexample_41-1" class="reference"><a href="#cite_note-appledancingexample-41"><span class="cite-bracket">[</span>T<span class="cite-bracket">]</span></a></sup> Popper thought that it was a basic statement that was a potential falsifier for Newton's theory, because the position of the apple at different times can be measured. Popper's claims on this point are <a href="#Ahistorical_versus_historiographical">controversial</a>, since Newtonian physics does not deny that there could be forces acting on the apple that are stronger than Earth's gravity. </p> <div class="mw-heading mw-heading3"><h3 id="Einstein's_equivalence_principle"><span id="Einstein.27s_equivalence_principle"></span>Einstein's equivalence principle</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=11" title="Edit section: Einstein's equivalence principle"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Einstein%27s_equivalence_principle" class="mw-redirect" title="Einstein's equivalence principle">Einstein's equivalence principle</a></div> <p>Another example of a basic statement is "The inert mass of this object is ten times larger than its gravitational mass." This is a basic statement because the inert mass and the gravitational mass can both be measured separately, even though it never happens that they are different. It is, as described by Popper, a valid falsifier for Einstein's equivalence principle.<sup id="cite_ref-einsteinquivalenceprincipleisfalsifiable_63-0" class="reference"><a href="#cite_note-einsteinquivalenceprincipleisfalsifiable-63"><span class="cite-bracket">[</span>AC<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Evolution">Evolution</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=12" title="Edit section: Evolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Industrial_melanism">Industrial melanism</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=13" title="Edit section: Industrial melanism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Industrial_melanism" title="Industrial melanism">Industrial melanism</a></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Biston_betularia_couple.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Biston_betularia_couple.JPG/330px-Biston_betularia_couple.JPG" decoding="async" width="260" height="195" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Biston_betularia_couple.JPG/500px-Biston_betularia_couple.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Biston_betularia_couple.JPG/960px-Biston_betularia_couple.JPG 2x" data-file-width="4608" data-file-height="3456" /></a><figcaption>A black-bodied and white-bodied peppered moth</figcaption></figure> <p>In a discussion of the theory of evolution, Popper mentioned industrial melanism<sup id="cite_ref-FOOTNOTERudge2005_64-0" class="reference"><a href="#cite_note-FOOTNOTERudge2005-64"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup> as an example of a falsifiable law. A corresponding basic statement that acts as a potential falsifier is "In this industrial area, the relative fitness of the white-bodied <a href="/wiki/Peppered_moth_evolution" title="Peppered moth evolution">peppered moth</a> is high." Here "fitness" means "reproductive success over the next generation".<sup id="cite_ref-Fisherdefoffitness_65-0" class="reference"><a href="#cite_note-Fisherdefoffitness-65"><span class="cite-bracket">[</span>AD<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-66" class="reference"><a href="#cite_note-66"><span class="cite-bracket">[</span>AE<span class="cite-bracket">]</span></a></sup> It is a basic statement, because it is possible to separately determine the kind of environment, industrial vs natural, and the relative fitness of the white-bodied form (relative to the black-bodied form) in an area, even though it never happens that the white-bodied form has a high relative fitness in an industrial area. </p> <div class="mw-heading mw-heading4"><h4 id="Precambrian_rabbit">Precambrian rabbit</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=14" title="Edit section: Precambrian rabbit"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Precambrian_rabbit" title="Precambrian rabbit">Precambrian rabbit</a></div> <p>A famous example of a basic statement from <a href="/wiki/J._B._S._Haldane" title="J. B. S. Haldane">J. B. S. Haldane</a> is "[These are] fossil rabbits in the Precambrian era." This is a basic statement because it is possible to find a fossil rabbit and to determine that the date of a fossil is in the Precambrian era, even though it never happens that the date of a rabbit fossil is in the Precambrian era. Despite <a href="/wiki/Objections_to_evolution#Unfalsifiability" title="Objections to evolution">opinions to the contrary</a>,<sup id="cite_ref-FOOTNOTETheobald2006_67-0" class="reference"><a href="#cite_note-FOOTNOTETheobald2006-67"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup> sometimes wrongly attributed to Popper,<sup id="cite_ref-evolutionhypothesescanoftenbetested_68-0" class="reference"><a href="#cite_note-evolutionhypothesescanoftenbetested-68"><span class="cite-bracket">[</span>AF<span class="cite-bracket">]</span></a></sup> this shows the scientific character of paleontology or the history of the evolution of life on Earth, because it contradicts the hypothesis in paleontology that all mammals existed in a much more recent era. <a href="/wiki/Richard_Dawkins" title="Richard Dawkins">Richard Dawkins</a> adds that any other modern animal, such as a hippo, would suffice.<sup id="cite_ref-FOOTNOTEWallis2005_69-0" class="reference"><a href="#cite_note-FOOTNOTEWallis2005-69"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEDawkins1995_70-0" class="reference"><a href="#cite_note-FOOTNOTEDawkins1995-70"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEDawkins1986_71-0" class="reference"><a href="#cite_note-FOOTNOTEDawkins1986-71"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Simple_examples_of_unfalsifiable_statements">Simple examples of unfalsifiable statements</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=15" title="Edit section: Simple examples of unfalsifiable statements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="noresize thumb tright" style=";"> <div class="thumbinner" style="overflow:hidden;width:292px;"> <div class="thumbimage" style="height:200px; overflow:hidden; position:relative; background-color:white;"> <div style=";left:0px; top:-15px; width:290px; position:absolute;"> <span typeof="mw:File"><a href="/wiki/File:GuidoReni_MichaelDefeatsSatan.jpg" class="mw-file-description" title="Even if it is accepted that angels exist, "All angels have large wings" is not falsifiable, because no technology exists to identify and observe angels."><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/290px-GuidoReni_MichaelDefeatsSatan.jpg" decoding="async" width="290" height="427" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/435px-GuidoReni_MichaelDefeatsSatan.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/580px-GuidoReni_MichaelDefeatsSatan.jpg 2x" data-file-width="1657" data-file-height="2441" /></a></span></div> <div style="text-align:left; background-color:transparent; line-height:110%;"> </div> <div style="visibility:hidden"><span class="noviewer" typeof="mw:File/Frameless"><a href="/wiki/File:GuidoReni_MichaelDefeatsSatan.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/290px-GuidoReni_MichaelDefeatsSatan.jpg" decoding="async" width="290" height="427" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/435px-GuidoReni_MichaelDefeatsSatan.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7a/GuidoReni_MichaelDefeatsSatan.jpg/580px-GuidoReni_MichaelDefeatsSatan.jpg 2x" data-file-width="1657" data-file-height="2441" /></a></span></div> </div> <div class="thumbcaption"><div class="magnify"><a href="/wiki/File:GuidoReni_MichaelDefeatsSatan.jpg" title="File:GuidoReni MichaelDefeatsSatan.jpg"> </a></div>Even if it is accepted that angels exist, "All angels have large wings" is not falsifiable, because no technology exists to identify and observe angels.</div> </div></div> <p>A simple example of a non-basic statement is "This angel does not have large wings." It is not a basic statement, because though the absence of large wings can be observed, no technology (independent of the presence of wings<sup id="cite_ref-iftechnologyiswingsthentautology_72-0" class="reference"><a href="#cite_note-iftechnologyiswingsthentautology-72"><span class="cite-bracket">[</span>AG<span class="cite-bracket">]</span></a></sup>) exists to identify angels. Even if it is accepted that angels exist, the sentence "All angels have large wings" is not falsifiable. </p><p>Another example from Popper of a non-basic statement is "This human action is altruistic." It is not a basic statement, because no accepted technology allows us to determine whether or not an action is motivated by self-interest. Because no basic statement falsifies it, the statement that "All human actions are egotistic, motivated by self-interest" is thus not falsifiable.<sup id="cite_ref-allactionsareegotisticnotfalsifiable_73-0" class="reference"><a href="#cite_note-allactionsareegotisticnotfalsifiable-73"><span class="cite-bracket">[</span>AH<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Omphalos_hypothesis">Omphalos hypothesis</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=16" title="Edit section: Omphalos hypothesis"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Omphalos_hypothesis" title="Omphalos hypothesis">Omphalos hypothesis</a></div> <p>Some adherents of <a href="/wiki/Young-Earth_creationism" class="mw-redirect" title="Young-Earth creationism">young-Earth creationism</a> make an argument (called the Omphalos hypothesis after the Greek word for navel) that the world was created with the appearance of age; e.g., the sudden appearance of a mature chicken capable of laying eggs. This ad hoc hypothesis introduced into young-Earth creationism is unfalsifiable because it says that the time of creation (of a species) measured by the accepted technology is illusory and no accepted technology is proposed to measure the claimed "actual" time of creation. Moreover, if the ad hoc hypothesis says that the world was created as we observe it today without stating further laws, by definition it cannot be contradicted by observations and thus is not falsifiable. This is discussed by Dienes in the case of a variation on the Omphalos hypothesis, which, in addition, specifies that God made the creation in this way to test our faith.<sup id="cite_ref-FOOTNOTEDienes200818–19_74-0" class="reference"><a href="#cite_note-FOOTNOTEDienes200818–19-74"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Useful_metaphysical_statements">Useful metaphysical statements</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=17" title="Edit section: Useful metaphysical statements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=Grover_Maxwell&action=edit&redlink=1" class="new" title="Grover Maxwell (page does not exist)">Grover Maxwell</a><sup class="noprint" style="font-style: normal;"> [<a href="https://es.wikipedia.org/wiki/Grover_Maxwell" class="extiw" title="es:Grover Maxwell">es</a>]</sup> discussed statements such as "All men are mortal."<sup id="cite_ref-FOOTNOTEMaxwell1974294–295_75-0" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974294–295-75"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup> This is not falsifiable, because it does not matter how old a man is, maybe he will die next year.<sup id="cite_ref-FOOTNOTEKeuth200544–45_76-0" class="reference"><a href="#cite_note-FOOTNOTEKeuth200544–45-76"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> Maxwell said that this statement is nevertheless useful, because it is often corroborated. He coined the term "corroboration without demarcation". Popper's view is that it is indeed useful, because Popper considers that metaphysical statements can be useful, but also because it is indirectly corroborated by the corroboration of the falsifiable law "All men die before the age of 150." For Popper, if no such falsifiable law exists, then the metaphysical law is less useful, because it is not indirectly corroborated.<sup id="cite_ref-popperexistentialstatementsverifiedbystronger_77-0" class="reference"><a href="#cite_note-popperexistentialstatementsverifiedbystronger-77"><span class="cite-bracket">[</span>AI<span class="cite-bracket">]</span></a></sup> This kind of non-falsifiable statements in science was noticed by Carnap as early as 1937.<sup id="cite_ref-FOOTNOTELeitgebCarus2021Sec._8.1_78-0" class="reference"><a href="#cite_note-FOOTNOTELeitgebCarus2021Sec._8.1-78"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Clyde_Cowan.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Clyde_Cowan.jpg/260px-Clyde_Cowan.jpg" decoding="async" width="260" height="321" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Clyde_Cowan.jpg/390px-Clyde_Cowan.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/Clyde_Cowan.jpg/520px-Clyde_Cowan.jpg 2x" data-file-width="800" data-file-height="989" /></a><figcaption><a href="/wiki/Clyde_Cowan" title="Clyde Cowan">Clyde Cowan</a> conducting the <a href="/wiki/Cowan%E2%80%93Reines_neutrino_experiment" title="Cowan–Reines neutrino experiment">neutrino experiment</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 1956</span>)</figcaption></figure> <p>Maxwell also used the example "All solids have a melting point." This is not falsifiable, because maybe the melting point will be reached at a higher temperature.<sup id="cite_ref-FOOTNOTEMaxwell1974294–295_75-1" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974294–295-75"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKeuth200544–45_76-1" class="reference"><a href="#cite_note-FOOTNOTEKeuth200544–45-76"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> The law is falsifiable and more useful if we specify an upper bound on melting points or a way to calculate this upper bound.<sup id="cite_ref-keuthfinitemeltingpoint_79-0" class="reference"><a href="#cite_note-keuthfinitemeltingpoint-79"><span class="cite-bracket">[</span>AJ<span class="cite-bracket">]</span></a></sup> </p><p>Another example from Maxwell is "All <a href="/wiki/Beta_decay" title="Beta decay">beta decays</a> are accompanied with a neutrino emission from the same nucleus."<sup id="cite_ref-FOOTNOTEMaxwell1974299_80-0" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974299-80"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> This is also not falsifiable, because maybe the neutrino can be detected in a different manner. The law is falsifiable and much more useful from a scientific point of view, if the <a href="/wiki/Cowan%E2%80%93Reines_neutrino_experiment" title="Cowan–Reines neutrino experiment">method to detect the neutrino</a> is specified.<sup id="cite_ref-FOOTNOTEPopper19741038_81-0" class="reference"><a href="#cite_note-FOOTNOTEPopper19741038-81"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup> Maxwell said that most scientific laws are metaphysical statements of this kind,<sup id="cite_ref-FOOTNOTEMaxwell1974295_82-0" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974295-82"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup> which, Popper said, need to be made more precise before they can be indirectly corroborated.<sup id="cite_ref-popperexistentialstatementsverifiedbystronger_77-1" class="reference"><a href="#cite_note-popperexistentialstatementsverifiedbystronger-77"><span class="cite-bracket">[</span>AI<span class="cite-bracket">]</span></a></sup> In other words, specific technologies must be provided to make the statements inter-subjectively-verifiable, i.e., so that scientists know what the falsification or its failure actually means. </p><p>In his critique of the falsifiability criterion, Maxwell considered the requirement for decisions in the falsification of, both, the emission of neutrinos (see <a href="#Dogmatic_falsificationism">§ Dogmatic falsificationism</a>) and the existence of the melting point.<sup id="cite_ref-FOOTNOTEMaxwell1974299_80-1" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974299-80"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> For example, he pointed out that had no neutrino been detected, it could have been because some conservation law is false. Popper did not argue against the problems of falsification per se. He always acknowledged these problems. Popper's response was at the logical level. For example, he pointed out that, if a specific way is given to trap the neutrino, then, at the level of the language, the statement is falsifiable, because "no neutrino was detected after using this specific way" formally contradicts it (and it is inter-subjectively-verifiable—people can repeat the experiment). </p> <div class="mw-heading mw-heading3"><h3 id="Natural_selection">Natural selection</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=18" title="Edit section: Natural selection"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Survival_of_the_fittest#Tautology" title="Survival of the fittest">Survival of the fittest § Tautology</a></div> <p>In the 5th and 6th editions of <i><a href="/wiki/On_the_Origin_of_Species" title="On the Origin of Species">On the Origin of Species</a></i>, following a suggestion of <a href="/wiki/Alfred_Russel_Wallace" title="Alfred Russel Wallace">Alfred Russel Wallace</a>, Darwin used "Survival of the fittest", an expression first coined by <a href="/wiki/Herbert_Spencer" title="Herbert Spencer">Herbert Spencer</a>, as a synonym for "Natural Selection".<sup id="cite_ref-naturalselectionassurvivalofthefittest_83-0" class="reference"><a href="#cite_note-naturalselectionassurvivalofthefittest-83"><span class="cite-bracket">[</span>AK<span class="cite-bracket">]</span></a></sup> Popper and others said that, if one uses the most widely accepted definition of "fitness" in modern biology (see subsection <a href="#Evolution">§ Evolution</a>), namely reproductive success itself, the expression "survival of the fittest" is a tautology.<sup id="cite_ref-thompsonnaturalselectionastautology_84-0" class="reference"><a href="#cite_note-thompsonnaturalselectionastautology-84"><span class="cite-bracket">[</span>AL<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-naturalselectionasatautology_85-0" class="reference"><a href="#cite_note-naturalselectionasatautology-85"><span class="cite-bracket">[</span>AM<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-poppernaturalselectiontautological_86-0" class="reference"><a href="#cite_note-poppernaturalselectiontautological-86"><span class="cite-bracket">[</span>AN<span class="cite-bracket">]</span></a></sup> </p><p>Darwinist <a href="/wiki/Ronald_Fisher" title="Ronald Fisher">Ronald Fisher</a> worked out mathematical theorems to help answer questions regarding natural selection. But, for Popper and others, there is no (falsifiable) law of Natural Selection in this, because these tools only apply to some rare traits.<sup id="cite_ref-thompsonnotalltraitsaffectfitness_87-0" class="reference"><a href="#cite_note-thompsonnotalltraitsaffectfitness-87"><span class="cite-bracket">[</span>AO<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-poppernotalltraitsaffectfitness_88-0" class="reference"><a href="#cite_note-poppernotalltraitsaffectfitness-88"><span class="cite-bracket">[</span>AP<span class="cite-bracket">]</span></a></sup> Instead, for Popper, the work of Fisher and others on Natural Selection is part of an important and successful metaphysical research program.<sup id="cite_ref-FOOTNOTEElginSober2017_89-0" class="reference"><a href="#cite_note-FOOTNOTEElginSober2017-89"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Mathematics">Mathematics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=19" title="Edit section: Mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Mathematical_proof" title="Mathematical proof">Mathematical proof</a>, <a href="/wiki/Scientific_method#Relationship_with_mathematics" title="Scientific method">Scientific method § Relationship with mathematics</a>, <a href="/wiki/Mathematics#Mathematics_as_science" title="Mathematics">Mathematics § Mathematics as science</a>, and <a href="/wiki/Philosophy_of_mathematics#Popper's_two_senses_of_number_statements" title="Philosophy of mathematics">Philosophy of mathematics § Popper's two senses of number statements</a></div> <p>Popper said that not all unfalsifiable statements are useless in science. Mathematical statements are good examples. Like all <a href="/wiki/Formal_science" title="Formal science">formal sciences</a>, mathematics is not concerned with the validity of theories based on observations in the <a href="/wiki/Empiricism" title="Empiricism">empirical</a> world, but rather, mathematics is occupied with the theoretical, abstract study of such topics as <a href="/wiki/Quantity" title="Quantity">quantity</a>, <a href="/wiki/Structure" title="Structure">structure</a>, <a href="/wiki/Space" title="Space">space</a> and <a href="/wiki/Calculus" title="Calculus">change</a>. Methods of the mathematical sciences are, however, applied in constructing and testing scientific models dealing with observable <a href="/wiki/Reality" title="Reality">reality</a>. <a href="/wiki/Albert_Einstein" title="Albert Einstein">Albert Einstein</a> wrote, "One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts."<sup id="cite_ref-FOOTNOTEEinstein2010_90-0" class="reference"><a href="#cite_note-FOOTNOTEEinstein2010-90"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Historicism">Historicism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=20" title="Edit section: Historicism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Historicism#Karl_Popper" title="Historicism">Historicism § Karl Popper</a></div> <p>Popper made a clear distinction between the original theory of Marx and what came to be known as Marxism later on.<sup id="cite_ref-FOOTNOTEPopper1995[httpsarchiveorgdetailsinernetdli201577661pagen101mode1up_Chap._15]_91-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1995[httpsarchiveorgdetailsinernetdli201577661pagen101mode1up_Chap._15]-91"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup> For Popper, the original theory of Marx contained genuine scientific laws. Though they could not make preordained predictions, these laws constrained how changes can occur in society. One of them was that changes in society cannot "be achieved by the use of legal or political means".<sup id="cite_ref-marxismoriginallaw_92-0" class="reference"><a href="#cite_note-marxismoriginallaw-92"><span class="cite-bracket">[</span>AQ<span class="cite-bracket">]</span></a></sup> In Popper's view, this was both testable and subsequently falsified. "Yet instead of accepting the refutations", Popper wrote, "the followers of Marx re-interpreted both the theory and the evidence in order to make them agree. ... They thus gave a 'conventionalist twist' to the theory; and by this stratagem, they destroyed its much advertised claim to scientific status."<sup id="cite_ref-marxismearlierversionswerefalsifiable_93-0" class="reference"><a href="#cite_note-marxismearlierversionswerefalsifiable-93"><span class="cite-bracket">[</span>AR<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-thorntonmarxismchangeofstatus_94-0" class="reference"><a href="#cite_note-thorntonmarxismchangeofstatus-94"><span class="cite-bracket">[</span>AS<span class="cite-bracket">]</span></a></sup> Popper's attacks were not directed toward Marxism, or Marx's theories, which were falsifiable, but toward Marxists who he considered to have ignored the falsifications which had happened.<sup id="cite_ref-FOOTNOTESmith200012_95-0" class="reference"><a href="#cite_note-FOOTNOTESmith200012-95"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> Popper more fundamentally criticized 'historicism' in the sense of any preordained prediction of history, given what he saw as our right, ability and responsibility to control our own destiny.<sup id="cite_ref-FOOTNOTESmith200012_95-1" class="reference"><a href="#cite_note-FOOTNOTESmith200012-95"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Use_in_courts_of_law">Use in courts of law</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=21" title="Edit section: Use in courts of law"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Falsifiability has been used in the <i><a href="/wiki/McLean_v._Arkansas" title="McLean v. Arkansas">McLean v. Arkansas</a></i> case (in 1982),<sup id="cite_ref-FOOTNOTEMcLean_v._Arkansas1982_96-0" class="reference"><a href="#cite_note-FOOTNOTEMcLean_v._Arkansas1982-96"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> the <i><a href="/wiki/Daubert_v._Merrell_Dow_Pharmaceuticals,_Inc." title="Daubert v. Merrell Dow Pharmaceuticals, Inc.">Daubert</a></i> case (in 1993)<sup id="cite_ref-FOOTNOTEDaubert1993_97-0" class="reference"><a href="#cite_note-FOOTNOTEDaubert1993-97"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup> and other cases. A survey of 303 federal judges conducted in 1998<sup id="cite_ref-surveys_98-0" class="reference"><a href="#cite_note-surveys-98"><span class="cite-bracket">[</span>AT<span class="cite-bracket">]</span></a></sup> found that "[P]roblems with the nonfalsifiable nature of an expert's underlying theory and difficulties with an unknown or too-large error rate were cited in less than 2% of cases."<sup id="cite_ref-FOOTNOTEKrafka2002p._17_in_archived_pdf_99-0" class="reference"><a href="#cite_note-FOOTNOTEKrafka2002p._17_in_archived_pdf-99"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="McLean_v._Arkansas_case"><i>McLean v. Arkansas</i> case</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=22" title="Edit section: McLean v. Arkansas case"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In the ruling of the <i><a href="/wiki/McLean_v._Arkansas" title="McLean v. Arkansas">McLean v. Arkansas</a></i> case, Judge <a href="/wiki/William_Overton_(judge)" title="William Overton (judge)">William Overton</a> used falsifiability as one of the criteria to determine that "<a href="/wiki/Creation_science" title="Creation science">creation science</a>" was not scientific and should not be taught in <a href="/wiki/Arkansas" title="Arkansas">Arkansas</a> <a href="/wiki/Public_school_(government_funded)" class="mw-redirect" title="Public school (government funded)">public schools</a> as such (it can be taught as religion). In his testimony, philosopher <a href="/wiki/Michael_Ruse" title="Michael Ruse">Michael Ruse</a> defined the characteristics which constitute science as (see <a href="#CITEREFPennock2000">Pennock 2000</a>, p. 5, and <a href="#CITEREFRuse2010">Ruse 2010</a>): </p> <ul><li>It is guided by natural law;</li> <li>It has to be explanatory by reference to natural law;</li> <li>It is testable against the empirical world;</li> <li>Its conclusions are tentative, i.e., are not necessarily the final word; and</li> <li>It is falsifiable.</li></ul><p> In his conclusion related to this criterion Judge Overton stated that: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712" /></p><blockquote class="templatequote"><p>While anybody is free to approach a scientific inquiry in any fashion they choose, they cannot properly describe the methodology as scientific, if they start with the conclusion and refuse to change it regardless of the evidence developed during the course of the investigation.</p><div class="templatequotecite">— <cite>William Overton, <a href="#CITEREFMcLean_v._Arkansas1982">McLean v. Arkansas 1982</a>, at the end of section IV. (C)</cite></div></blockquote> <div class="mw-heading mw-heading4"><h4 id="Daubert_standard">Daubert standard</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=23" title="Edit section: Daubert standard"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Daubert_standard" title="Daubert standard">Daubert standard</a></div><p> In several cases of the <a href="/wiki/United_States_Supreme_Court" class="mw-redirect" title="United States Supreme Court">United States Supreme Court</a>, the court described scientific methodology using the <a href="/wiki/Daubert_standard" title="Daubert standard">five Daubert factors</a>, which include falsifiability.<sup id="cite_ref-100" class="reference"><a href="#cite_note-100"><span class="cite-bracket">[</span>AU<span class="cite-bracket">]</span></a></sup> The Daubert result cited Popper and other philosophers of science: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712" /></p><blockquote class="templatequote"><p>Ordinarily, a key question to be answered in determining whether a theory or technique is scientific knowledge that will assist the trier of fact will be whether it can be (and has been) tested. <i>Scientific methodology today is based on generating hypotheses and testing them to see if they can be falsified; indeed, this methodology is what distinguishes science from other fields of human inquiry.</i> Green 645. See also C. Hempel, Philosophy of Natural Science 49 (1966) (<i>[T]he statements constituting a scientific explanation must be capable of empirical test</i>); K. Popper, Conjectures and Refutations: The Growth of Scientific Knowledge 37 (5th ed. 1989) (<i>[T]he criterion of the scientific status of a theory is its falsifiability, or refutability, or testability</i>) (emphasis deleted).</p><div class="templatequotecite">— <cite>Harry Blackmun, <a href="#CITEREFDaubert1993">Daubert 1993</a>, p. 593</cite></div></blockquote> <p>David H. Kaye<sup id="cite_ref-101" class="reference"><a href="#cite_note-101"><span class="cite-bracket">[</span>AV<span class="cite-bracket">]</span></a></sup> said that references to the Daubert majority opinion confused falsifiability and falsification and that "inquiring into the existence of meaningful attempts at falsification is an appropriate and crucial consideration in admissibility determinations."<sup id="cite_ref-102" class="reference"><a href="#cite_note-102"><span class="cite-bracket">[</span>AW<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Connections_between_statistical_theories_and_falsifiability">Connections between statistical theories and falsifiability</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=24" title="Edit section: Connections between statistical theories and falsifiability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Considering the specific detection procedure that was used in the neutrino experiment, without mentioning its probabilistic aspect, Popper wrote "it provided a test of the much more significant <i>falsifiable</i> theory that such emitted neutrinos could be trapped in a certain way". In this manner, in his discussion of the neutrino experiment, Popper did not raise at all the probabilistic aspect of the experiment.<sup id="cite_ref-FOOTNOTEPopper19741038_81-1" class="reference"><a href="#cite_note-FOOTNOTEPopper19741038-81"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup> Together with Maxwell, who raised the problems of falsification in the experiment,<sup id="cite_ref-FOOTNOTEMaxwell1974299_80-2" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974299-80"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> he was aware that some convention must be adopted to fix what it means to detect or not a neutrino in this probabilistic context. This is the third kind of decisions mentioned by Lakatos.<sup id="cite_ref-FOOTNOTELakatos197825_103-0" class="reference"><a href="#cite_note-FOOTNOTELakatos197825-103"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup> For Popper and most philosophers, observations are theory impregnated. In this example, the theory that impregnates observations (and justifies that we conventionally accept the potential falsifier "no neutrino was detected") is statistical. In statistical language, the potential falsifier that can be statistically accepted (not rejected to say it more correctly) is typically the null hypothesis, as understood even in popular accounts on falsifiability.<sup id="cite_ref-FOOTNOTEWilkinson2013_104-0" class="reference"><a href="#cite_note-FOOTNOTEWilkinson2013-104"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEChiasma2017_105-0" class="reference"><a href="#cite_note-FOOTNOTEChiasma2017-105"><span class="cite-bracket">[</span>56<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEWigmore2017_106-0" class="reference"><a href="#cite_note-FOOTNOTEWigmore2017-106"><span class="cite-bracket">[</span>57<span class="cite-bracket">]</span></a></sup> </p><p>Different ways are used by statisticians to draw conclusions about hypotheses on the basis of available evidence. <a href="/wiki/Ronald_Aylmer_Fisher" class="mw-redirect" title="Ronald Aylmer Fisher">Fisher</a>, <a href="/wiki/Jerzy_Neyman" title="Jerzy Neyman">Neyman</a> and <a href="/wiki/Egon_Pearson" title="Egon Pearson">Pearson</a> proposed approaches that require no prior probabilities on the hypotheses that are being studied. In contrast, <a href="/wiki/Bayesian_inference" title="Bayesian inference">Bayesian inference</a> emphasizes the importance of prior probabilities.<sup id="cite_ref-FOOTNOTELehmann1993201_107-0" class="reference"><a href="#cite_note-FOOTNOTELehmann1993201-107"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> But, as far as falsification as a yes/no procedure in Popper's methodology is concerned, any approach that provides a way to accept or not a potential falsifier can be used, including approaches that use Bayes' theorem and estimations of prior probabilities that are made using critical discussions and reasonable assumptions taken from the background knowledge.<sup id="cite_ref-anyapproachtofalsifyisok_108-0" class="reference"><a href="#cite_note-anyapproachtofalsifyisok-108"><span class="cite-bracket">[</span>AX<span class="cite-bracket">]</span></a></sup> There is no general rule that considers as falsified an hypothesis with small Bayesian revised probability, because as pointed out by <a href="/wiki/Deborah_Mayo" title="Deborah Mayo">Mayo</a> and argued before by Popper, the individual outcomes described in detail will easily have very small probabilities under available evidence without being genuine anomalies.<sup id="cite_ref-FOOTNOTEMayo201882_109-0" class="reference"><a href="#cite_note-FOOTNOTEMayo201882-109"><span class="cite-bracket">[</span>59<span class="cite-bracket">]</span></a></sup> Nevertheless, Mayo adds, "they can indirectly falsify hypotheses by adding a methodological falsification rule".<sup id="cite_ref-FOOTNOTEMayo201882_109-1" class="reference"><a href="#cite_note-FOOTNOTEMayo201882-109"><span class="cite-bracket">[</span>59<span class="cite-bracket">]</span></a></sup> In general, Bayesian statistic can play a role in critical rationalism in the context of inductive logic,<sup id="cite_ref-FOOTNOTEHawthorne2018Sec._3.2_110-0" class="reference"><a href="#cite_note-FOOTNOTEHawthorne2018Sec._3.2-110"><span class="cite-bracket">[</span>60<span class="cite-bracket">]</span></a></sup> which is said to be inductive because implications are generalized to conditional probabilities.<sup id="cite_ref-FOOTNOTEHawthorne2018Sec._2.1_111-0" class="reference"><a href="#cite_note-FOOTNOTEHawthorne2018Sec._2.1-111"><span class="cite-bracket">[</span>61<span class="cite-bracket">]</span></a></sup> According to Popper and other philosophers such as <a href="/wiki/Colin_Howson" title="Colin Howson">Colin Howson</a>, Hume's argument precludes inductive logic, but only when the logic makes no use "of additional assumptions: in particular, about what is to be assigned positive prior probability".<sup id="cite_ref-FOOTNOTEHowson200088_112-0" class="reference"><a href="#cite_note-FOOTNOTEHowson200088-112"><span class="cite-bracket">[</span>62<span class="cite-bracket">]</span></a></sup> Inductive logic itself is not precluded, especially not when it is a deductively valid application of Bayes' theorem that is used to evaluate the probabilities of the hypotheses using the observed data and what is assumed about the priors. Gelman and Shalizi mentioned that Bayes' statisticians do not have to disagree with the non-inductivists.<sup id="cite_ref-FOOTNOTEGelmanShalizi201326–27_113-0" class="reference"><a href="#cite_note-FOOTNOTEGelmanShalizi201326–27-113"><span class="cite-bracket">[</span>63<span class="cite-bracket">]</span></a></sup> </p><p>Because statisticians often associate statistical inference with induction, Popper's philosophy is often said to have a hidden form of induction. For example, Mayo wrote "The falsifying hypotheses ... necessitate an evidence-transcending (inductive) statistical inference. This is hugely problematic for Popper".<sup id="cite_ref-FOOTNOTEMayo201883_114-0" class="reference"><a href="#cite_note-FOOTNOTEMayo201883-114"><span class="cite-bracket">[</span>64<span class="cite-bracket">]</span></a></sup> Yet, also according to Mayo, Popper [as a non-inductivist] acknowledged the useful role of statistical inference in the falsification problems: she mentioned that Popper wrote her (in the context of falsification based on evidence) "I regret not studying statistics" and that her thought was then "not as much as I do".<sup id="cite_ref-FOOTNOTEMayo201886_115-0" class="reference"><a href="#cite_note-FOOTNOTEMayo201886-115"><span class="cite-bracket">[</span>65<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Lakatos's_falsificationism"><span id="Lakatos.27s_falsificationism"></span>Lakatos's falsificationism<span class="anchor" id="Falsificationism"></span><span class="anchor" id="Dogmatic_falsificationism"></span><span class="anchor" id="Naive_falsificationism"></span><span class="anchor" id="Sophisticated_falsificationism"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=25" title="Edit section: Lakatos's falsificationism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Imre_Lakatos" title="Imre Lakatos">Imre Lakatos</a> divided the problems of falsification in two categories. The first category corresponds to decisions that must be agreed upon by scientists before they can falsify a theory. The other category emerges when one tries to use falsifications and corroborations to explain <a href="/wiki/Scientific_progress" class="mw-redirect" title="Scientific progress">progress in science</a>. Lakatos described four kind of falsificationisms in view of how they address these problems. <b>Dogmatic falsificationism</b> ignores both types of problems. <b>Methodological falsificationism</b> addresses the first type of problems by accepting that decisions must be taken by scientists. <b>Naive methodological falsificationism</b> or <b>naive falsificationism</b> does not do anything to address the second type of problems.<sup id="cite_ref-FOOTNOTELakatos197812–30_116-0" class="reference"><a href="#cite_note-FOOTNOTELakatos197812–30-116"><span class="cite-bracket">[</span>66<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPera1989362_117-0" class="reference"><a href="#cite_note-FOOTNOTEPera1989362-117"><span class="cite-bracket">[</span>67<span class="cite-bracket">]</span></a></sup> Lakatos used dogmatic and naive falsificationism to explain how Popper's philosophy changed over time and viewed <b>sophisticated falsificationism</b> as his own improvement on Popper's philosophy, but also said that Popper some times appears as a sophisticated falsificationist.<sup id="cite_ref-FOOTNOTELakatos1974_118-0" class="reference"><a href="#cite_note-FOOTNOTELakatos1974-118"><span class="cite-bracket">[</span>68<span class="cite-bracket">]</span></a></sup> Popper responded that Lakatos misrepresented his intellectual history with these terminological distinctions.<sup id="cite_ref-FOOTNOTEPopper1974Note_70a_119-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1974Note_70a-119"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Dogmatic_falsificationism">Dogmatic falsificationism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=26" title="Edit section: Dogmatic falsificationism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A dogmatic falsificationist ignores that every observation is theory-impregnated. Being theory-impregnated means that it goes beyond direct experience. For example, the statement "Here is a glass of water" goes beyond experience, because the concepts of glass and water "denote physical bodies which exhibit a certain law-like behaviour" (Popper).<sup id="cite_ref-FOOTNOTEAndersson1994Chap_3_120-0" class="reference"><a href="#cite_note-FOOTNOTEAndersson1994Chap_3-120"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> This leads to the critique that it is unclear which theory is falsified. Is it the one that is being studied or the one behind the observation?<sup id="cite_ref-duhemcritic_121-0" class="reference"><a href="#cite_note-duhemcritic-121"><span class="cite-bracket">[</span>AY<span class="cite-bracket">]</span></a></sup> This is sometimes called the '<a href="/wiki/Duhem%E2%80%93Quine_thesis" title="Duhem–Quine thesis">Duhem–Quine problem</a>'. <a href="/wiki/Duhem%E2%80%93Quine_thesis#Example_from_Galilean_astronomy" title="Duhem–Quine thesis">An example is Galileo's refutation</a> of the theory that celestial bodies are faultless crystal balls. Many considered that it was the optical theory of the telescope that was false, not the theory of celestial bodies. Another example is the theory that neutrinos are emitted in <a href="/wiki/Beta_decay" title="Beta decay">beta decays</a>. Had they not been observed in the <a href="/wiki/Cowan%E2%80%93Reines_neutrino_experiment" title="Cowan–Reines neutrino experiment">Cowan–Reines neutrino experiment</a>, many would have considered that the strength of the <a href="/wiki/Inverse_beta_decay" title="Inverse beta decay">beta-inverse reaction</a> used to detect the neutrinos was not sufficiently high. At the time, <a href="/w/index.php?title=Grover_Maxwell&action=edit&redlink=1" class="new" title="Grover Maxwell (page does not exist)">Grover Maxwell</a><sup class="noprint" style="font-style: normal;"> [<a href="https://es.wikipedia.org/wiki/Grover_Maxwell" class="extiw" title="es:Grover Maxwell">es</a>]</sup> wrote, the possibility that this strength was sufficiently high was a "pious hope".<sup id="cite_ref-FOOTNOTEMaxwell1974299_80-3" class="reference"><a href="#cite_note-FOOTNOTEMaxwell1974299-80"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> </p><p>A dogmatic falsificationist ignores the role of auxiliary hypotheses. The assumptions or auxiliary hypotheses of a particular test are all the hypotheses that are assumed to be accurate in order for the test to work as planned.<sup id="cite_ref-FOOTNOTEUnderstanding_Science2021_122-0" class="reference"><a href="#cite_note-FOOTNOTEUnderstanding_Science2021-122"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup> The predicted observation that is contradicted depends on the theory and these auxiliary hypotheses. Again, this leads to the critique that it cannot be told if it is the theory or one of the required auxiliary hypotheses that is false. Lakatos gives the example of the path of a planet. If the path contradicts Newton's law, we will not know if it is Newton's law that is false or the assumption that no other body influenced the path. </p><p> Lakatos says that Popper's solution to these criticisms requires that one relaxes the assumption that an observation can show a theory to be false:<sup id="cite_ref-twomeanings_6-2" class="reference"><a href="#cite_note-twomeanings-6"><span class="cite-bracket">[</span>F<span class="cite-bracket">]</span></a></sup> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712" /></p><blockquote class="templatequote"><p> If a theory is falsified [in the usual sense], it is proven false; if it is 'falsified' [in the technical sense], it may still be true. </p><div class="templatequotecite">— <cite>Imre Lakatos, <a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 24</cite></div></blockquote> <p><b>Methodological falsificationism</b> replaces the contradicting observation in a falsification with a "contradicting observation" accepted by convention among scientists, a convention that implies four kinds of decisions that have these respective goals: the selection of all <i>basic statements</i> (statements that correspond to logically possible observations), selection of the <i>accepted basic statements</i> among the basic statements, making statistical laws falsifiable and applying the refutation to the specific theory (instead of an auxiliary hypothesis).<sup id="cite_ref-twootherdecisions_123-0" class="reference"><a href="#cite_note-twootherdecisions-123"><span class="cite-bracket">[</span>AZ<span class="cite-bracket">]</span></a></sup> The experimental falsifiers and falsifications thus depend on decisions made by scientists in view of the currently accepted technology and its associated theory. </p> <div class="mw-heading mw-heading3"><h3 id="Naive_falsificationism">Naive falsificationism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=27" title="Edit section: Naive falsificationism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>According to Lakatos, naive falsificationism is the claim that methodological falsifications can by themselves explain how scientific knowledge progresses. Very often a theory is still useful and used even after it is found in contradiction with some observations. Also, when scientists deal with two or more competing theories which are both corroborated, considering only falsifications, it is not clear why one theory is chosen above the other, even when one is corroborated more often than the other. In fact, a stronger version of the Quine-Duhem thesis says that it is not always possible to rationally pick one theory over the other using falsifications.<sup id="cite_ref-FOOTNOTELakatos197896–97_124-0" class="reference"><a href="#cite_note-FOOTNOTELakatos197896–97-124"><span class="cite-bracket">[</span>72<span class="cite-bracket">]</span></a></sup> Considering only falsifications, it is not clear why often a corroborating experiment is seen as a sign of progress. Popper's critical rationalism uses both falsifications and corroborations to explain progress in science.<sup id="cite_ref-poppernonnaive_125-0" class="reference"><a href="#cite_note-poppernonnaive-125"><span class="cite-bracket">[</span>BA<span class="cite-bracket">]</span></a></sup> How corroborations and falsifications can explain progress in science was a subject of disagreement between many philosophers, especially between Lakatos and Popper.<sup id="cite_ref-popper01and2_126-0" class="reference"><a href="#cite_note-popper01and2-126"><span class="cite-bracket">[</span>BB<span class="cite-bracket">]</span></a></sup> </p><p>Popper distinguished between the creative and informal process from which theories and accepted basic statements emerge and the logical and formal process where theories are falsified or corroborated.<sup id="cite_ref-cleardistinctioncomplete_5-2" class="reference"><a href="#cite_note-cleardistinctioncomplete-5"><span class="cite-bracket">[</span>E<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-methodologydifferfrompurelogic_127-0" class="reference"><a href="#cite_note-methodologydifferfrompurelogic-127"><span class="cite-bracket">[</span>BC<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Poppermethodbeyondlogic_128-0" class="reference"><a href="#cite_note-Poppermethodbeyondlogic-128"><span class="cite-bracket">[</span>BD<span class="cite-bracket">]</span></a></sup> The main issue is whether the decision to select a theory among competing theories in the light of falsifications and corroborations could be justified using some kind of formal logic.<sup id="cite_ref-zaharonmaindivergence_129-0" class="reference"><a href="#cite_note-zaharonmaindivergence-129"><span class="cite-bracket">[</span>BE<span class="cite-bracket">]</span></a></sup> It is a delicate question, because this logic would be inductive: it justifies a universal law in view of instances. Also, falsifications, because they are based on methodological decisions, are useless in a strict justification perspective. The answer of Lakatos and many others to that question is that it should.<sup id="cite_ref-naivefalsificationism_130-0" class="reference"><a href="#cite_note-naivefalsificationism-130"><span class="cite-bracket">[</span>BF<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-kuhncritic_131-0" class="reference"><a href="#cite_note-kuhncritic-131"><span class="cite-bracket">[</span>BG<span class="cite-bracket">]</span></a></sup> In contradistinction, for Popper, the creative and informal part is guided by methodological rules, which naturally say to favour theories that are corroborated over those that are falsified,<sup id="cite_ref-arulethatusescorroborations_132-0" class="reference"><a href="#cite_note-arulethatusescorroborations-132"><span class="cite-bracket">[</span>BH<span class="cite-bracket">]</span></a></sup> but this methodology can hardly be made rigorous.<sup id="cite_ref-splitlogicmethod_133-0" class="reference"><a href="#cite_note-splitlogicmethod-133"><span class="cite-bracket">[</span>BI<span class="cite-bracket">]</span></a></sup> </p><p>Popper's way to analyze progress in science was through the concept of <a href="/wiki/Verisimilitude" title="Verisimilitude">verisimilitude</a>, a way to define how close a theory is to the truth, which he did not consider very significant, except (as an attempt) to describe a concept already clear in practice. Later, it was shown that the specific definition proposed by Popper cannot distinguish between two theories that are false, which is the case for all theories in the history of science.<sup id="cite_ref-verisimilitudenotsoanissue_134-0" class="reference"><a href="#cite_note-verisimilitudenotsoanissue-134"><span class="cite-bracket">[</span>BJ<span class="cite-bracket">]</span></a></sup> Today, there is still on going research on the general concept of verisimilitude.<sup id="cite_ref-FOOTNOTEFine2019_135-0" class="reference"><a href="#cite_note-FOOTNOTEFine2019-135"><span class="cite-bracket">[</span>73<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="From_the_problem_of_induction_to_falsificationism">From the problem of induction to falsificationism</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=28" title="Edit section: From the problem of induction to falsificationism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hume explained induction with a theory of the mind<sup id="cite_ref-FOOTNOTEMorrisBrown2021Sec._4_136-0" class="reference"><a href="#cite_note-FOOTNOTEMorrisBrown2021Sec._4-136"><span class="cite-bracket">[</span>74<span class="cite-bracket">]</span></a></sup> that was in part inspired by Newton's theory of gravitation.<sup id="cite_ref-Humegravitationalmind_137-0" class="reference"><a href="#cite_note-Humegravitationalmind-137"><span class="cite-bracket">[</span>BK<span class="cite-bracket">]</span></a></sup> Popper rejected Hume's explanation of induction and proposed his own mechanism: science progresses by trial and error within an evolutionary epistemology. Hume believed that his psychological induction process follows laws of nature, but, for him, this does not imply the existence of a method of justification based on logical rules. In fact, he argued that any induction mechanism, including the mechanism described by his theory, could not be justified logically.<sup id="cite_ref-FOOTNOTEHenderson2018_138-0" class="reference"><a href="#cite_note-FOOTNOTEHenderson2018-138"><span class="cite-bracket">[</span>75<span class="cite-bracket">]</span></a></sup> Similarly, Popper adopted an evolutionary epistemology, which implies that some laws explain progress in science, but yet insists that the process of trial and error is hardly rigorous and that there is always an element of irrationality in the creative process of science. The absence of a method of justification is a built-in aspect of Popper's trial and error explanation. </p><p>As rational as they can be, these explanations that refer to laws, but cannot be turned into methods of justification (and thus do not contradict Hume's argument or its premises), were not sufficient for some philosophers. In particular, <a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Russell</a> once expressed the view that if Hume's problem cannot be solved, “there is no intellectual difference between sanity and insanity”<sup id="cite_ref-FOOTNOTEHenderson2018_138-1" class="reference"><a href="#cite_note-FOOTNOTEHenderson2018-138"><span class="cite-bracket">[</span>75<span class="cite-bracket">]</span></a></sup> and actually proposed a method of justification.<sup id="cite_ref-FOOTNOTERussell1998Chap._VI_139-0" class="reference"><a href="#cite_note-FOOTNOTERussell1998Chap._VI-139"><span class="cite-bracket">[</span>76<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERussell1948Part_VI,_Sec._II_140-0" class="reference"><a href="#cite_note-FOOTNOTERussell1948Part_VI,_Sec._II-140"><span class="cite-bracket">[</span>77<span class="cite-bracket">]</span></a></sup> He rejected Hume's premise that there is a need to justify any principle that is itself used to justify induction.<sup id="cite_ref-Russellinductiveprinciples_141-0" class="reference"><a href="#cite_note-Russellinductiveprinciples-141"><span class="cite-bracket">[</span>BL<span class="cite-bracket">]</span></a></sup> It might seem that this premise is hard to reject, but to avoid circular reasoning we do reject it in the case of deductive logic. It makes sense to also reject this premise in the case of principles to justify induction. Lakatos's proposal of sophisticated falsificationism was very natural in that context. </p><p>Therefore, Lakatos urged Popper to find an inductive principle behind the trial and error learning process<sup id="cite_ref-zaharonlakatosurgedpoppertouseinduction_142-0" class="reference"><a href="#cite_note-zaharonlakatosurgedpoppertouseinduction-142"><span class="cite-bracket">[</span>BM<span class="cite-bracket">]</span></a></sup> and sophisticated falsificationism was his own approach to address this challenge.<sup id="cite_ref-LakatosrationalinPopperviewvsKuhn_143-0" class="reference"><a href="#cite_note-LakatosrationalinPopperviewvsKuhn-143"><span class="cite-bracket">[</span>BN<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-LakatosrationalinPopperview_144-0" class="reference"><a href="#cite_note-LakatosrationalinPopperview-144"><span class="cite-bracket">[</span>BO<span class="cite-bracket">]</span></a></sup> Kuhn, Feyerabend, Musgrave and others mentioned and Lakatos himself acknowledged that, as a method of justification, this attempt failed, because there was no normative methodology to justify—Lakatos's methodology was anarchy in disguise.<sup id="cite_ref-LakatosRetractOnInductivism_145-0" class="reference"><a href="#cite_note-LakatosRetractOnInductivism-145"><span class="cite-bracket">[</span>BP<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Lakatosanarchist_146-0" class="reference"><a href="#cite_note-Lakatosanarchist-146"><span class="cite-bracket">[</span>BQ<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-MusgraveLakatosanarchist_147-0" class="reference"><a href="#cite_note-MusgraveLakatosanarchist-147"><span class="cite-bracket">[</span>BR<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FeyerabendOnLakatosUseJudgement_148-0" class="reference"><a href="#cite_note-FeyerabendOnLakatosUseJudgement-148"><span class="cite-bracket">[</span>BS<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-lakatosmethodologybasedonjudgment_149-0" class="reference"><a href="#cite_note-lakatosmethodologybasedonjudgment-149"><span class="cite-bracket">[</span>BT<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Falsificationism_in_Popper's_philosophy"><span id="Falsificationism_in_Popper.27s_philosophy"></span>Falsificationism in Popper's philosophy</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=29" title="Edit section: Falsificationism in Popper's philosophy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Popper's philosophy is sometimes said to fail to recognize the Quine-Duhem thesis, which would make it a form of dogmatic falsificationism. For example, Watkins wrote "apparently forgetting that he had once said 'Duhem is right [...]', Popper set out to devise potential falsifiers just for Newton's fundamental assumptions".<sup id="cite_ref-FOOTNOTEWatkins1984Sec_8.5_150-0" class="reference"><a href="#cite_note-FOOTNOTEWatkins1984Sec_8.5-150"><span class="cite-bracket">[</span>78<span class="cite-bracket">]</span></a></sup> But, Popper's philosophy is not always qualified of falsificationism in the pejorative manner associated with dogmatic or naive falsificationism.<sup id="cite_ref-FOOTNOTEChalmers201359_151-0" class="reference"><a href="#cite_note-FOOTNOTEChalmers201359-151"><span class="cite-bracket">[</span>79<span class="cite-bracket">]</span></a></sup> The problems of falsification are acknowledged by the falsificationists. For example, Chalmers points out that falsificationists freely admit that observation is theory impregnated.<sup id="cite_ref-FOOTNOTEChalmers201360_152-0" class="reference"><a href="#cite_note-FOOTNOTEChalmers201360-152"><span class="cite-bracket">[</span>80<span class="cite-bracket">]</span></a></sup> Thornton, referring to Popper's methodology, says that the predictions inferred from conjectures are not directly compared with the facts simply because all observation-statements are theory-laden.<sup id="cite_ref-FOOTNOTEThornton2016Sec_5_153-0" class="reference"><a href="#cite_note-FOOTNOTEThornton2016Sec_5-153"><span class="cite-bracket">[</span>81<span class="cite-bracket">]</span></a></sup> For the critical rationalists, the problems of falsification are not an issue, because they do not try to make experimental falsifications logical or to logically justify them, nor to use them to logically explain progress in science. Instead, their faith rests on critical discussions around these experimental falsifications.<sup id="cite_ref-FOOTNOTEPopper1972_16-1" class="reference"><a href="#cite_note-FOOTNOTEPopper1972-16"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Lakatos made a distinction between a "falsification" (with quotation marks) in Popper's philosophy and a falsification (without quotation marks) that can be used in a systematic methodology where rejections are justified.<sup id="cite_ref-FOOTNOTELakatos197836_154-0" class="reference"><a href="#cite_note-FOOTNOTELakatos197836-154"><span class="cite-bracket">[</span>82<span class="cite-bracket">]</span></a></sup> He knew that Popper's philosophy is not and has never been about this kind of justification, but he felt that it should have been.<sup id="cite_ref-zaharonlakatosurgedpoppertouseinduction_142-1" class="reference"><a href="#cite_note-zaharonlakatosurgedpoppertouseinduction-142"><span class="cite-bracket">[</span>BM<span class="cite-bracket">]</span></a></sup> Sometimes, Popper and other falsificationists say that when a theory is falsified it is rejected,<sup id="cite_ref-FOOTNOTEPopper1962Chap._1;_Sec_IX_155-0" class="reference"><a href="#cite_note-FOOTNOTEPopper1962Chap._1;_Sec_IX-155"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEMiller19947_156-0" class="reference"><a href="#cite_note-FOOTNOTEMiller19947-156"><span class="cite-bracket">[</span>84<span class="cite-bracket">]</span></a></sup> which appears as dogmatic falsificationism, but the general context is always critical rationalism in which all decisions are open to critical discussions and can be revised.<sup id="cite_ref-FOOTNOTEGarcia200630_157-0" class="reference"><a href="#cite_note-FOOTNOTEGarcia200630-157"><span class="cite-bracket">[</span>85<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Controversies">Controversies</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=30" title="Edit section: Controversies"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Methodless_creativity_versus_inductive_methodology">Methodless creativity versus inductive methodology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=31" title="Edit section: Methodless creativity versus inductive methodology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/The_problem_of_induction" class="mw-redirect" title="The problem of induction">The problem of induction</a></div> <p>As described in section <a href="#Naive_falsificationism">§ Naive falsificationism</a>, Lakatos and Popper agreed that universal laws cannot be logically deduced (except from laws that say even more). But unlike Popper, Lakatos felt that if the explanation for new laws cannot be deductive, it must be inductive. He urged Popper explicitly to adopt some inductive principle<sup id="cite_ref-zaharonlakatosurgedpoppertouseinduction_142-2" class="reference"><a href="#cite_note-zaharonlakatosurgedpoppertouseinduction-142"><span class="cite-bracket">[</span>BM<span class="cite-bracket">]</span></a></sup> and sets himself the task to find an inductive methodology.<sup id="cite_ref-LakatosAnnouncesInductiveRules_158-0" class="reference"><a href="#cite_note-LakatosAnnouncesInductiveRules-158"><span class="cite-bracket">[</span>BU<span class="cite-bracket">]</span></a></sup> However, the methodology that he found did not offer any exact inductive rules. In a response to Kuhn, Feyerabend and Musgrave, Lakatos acknowledged that the methodology depends on the good judgment of the scientists.<sup id="cite_ref-LakatosRetractOnInductivism_145-1" class="reference"><a href="#cite_note-LakatosRetractOnInductivism-145"><span class="cite-bracket">[</span>BP<span class="cite-bracket">]</span></a></sup> Feyerabend wrote in "Against Method" that Lakatos's methodology of scientific research programmes is epistemological anarchism in disguise<sup id="cite_ref-Lakatosanarchist_146-1" class="reference"><a href="#cite_note-Lakatosanarchist-146"><span class="cite-bracket">[</span>BQ<span class="cite-bracket">]</span></a></sup> and Musgrave made a similar comment.<sup id="cite_ref-MusgraveLakatosanarchist_147-1" class="reference"><a href="#cite_note-MusgraveLakatosanarchist-147"><span class="cite-bracket">[</span>BR<span class="cite-bracket">]</span></a></sup> In more recent work, Feyerabend says that Lakatos uses rules, but whether or not to follow any of these rules is left to the judgment of the scientists.<sup id="cite_ref-FeyerabendOnLakatosUseJudgement_148-1" class="reference"><a href="#cite_note-FeyerabendOnLakatosUseJudgement-148"><span class="cite-bracket">[</span>BS<span class="cite-bracket">]</span></a></sup> This is also discussed elsewhere.<sup id="cite_ref-lakatosmethodologybasedonjudgment_149-1" class="reference"><a href="#cite_note-lakatosmethodologybasedonjudgment-149"><span class="cite-bracket">[</span>BT<span class="cite-bracket">]</span></a></sup> </p><p>Popper also offered a methodology with rules, but these rules are also not-inductive rules, because they are not by themselves used to accept laws or establish their validity. They do that through the creativity or "good judgment" of the scientists only. For Popper, the required non deductive component of science never had to be an inductive methodology. He always viewed this component as a creative process beyond the explanatory reach of any rational methodology, but yet used to decide which theories should be studied and applied, find good problems and guess useful conjectures.<sup id="cite_ref-zaharoncreativedecisions_159-0" class="reference"><a href="#cite_note-zaharoncreativedecisions-159"><span class="cite-bracket">[</span>BV<span class="cite-bracket">]</span></a></sup> Quoting Einstein to support his view, Popper said that this renders obsolete the need for an inductive methodology or logical path to the laws.<sup id="cite_ref-160" class="reference"><a href="#cite_note-160"><span class="cite-bracket">[</span>BW<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-einsteinnologicalpath_161-0" class="reference"><a href="#cite_note-einsteinnologicalpath-161"><span class="cite-bracket">[</span>BX<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-einsteinoncreativityandmathematics_162-0" class="reference"><a href="#cite_note-einsteinoncreativityandmathematics-162"><span class="cite-bracket">[</span>BY<span class="cite-bracket">]</span></a></sup> For Popper, no inductive methodology was ever proposed to satisfactorily explain science. </p> <div class="mw-heading mw-heading3"><h3 id="Ahistorical_versus_historiographical">Ahistorical versus historiographical</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=32" title="Edit section: Ahistorical versus historiographical"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Imre_Lakatos#Research_programmes" title="Imre Lakatos">Imre Lakatos § Research programmes</a></div> <p>Section <a href="#Methodless_creativity_versus_inductive_methodology">§ Methodless creativity versus inductive methodology</a> says that both Lakatos's and Popper's methodology are not inductive. Yet Lakatos's methodology extended importantly Popper's methodology: it added a historiographical component to it. This allowed Lakatos to find corroborations for his methodology in the history of science. The basic units in his methodology, which can be abandoned or pursued, are research programmes. Research programmes can be degenerative or progressive and only degenerative research programmes must be abandoned at some point. For Lakatos, this is mostly corroborated by facts in history. </p><p>In contradistinction, Popper did not propose his methodology as a tool to reconstruct the history of science. Yet, some times, he did refer to history to corroborate his methodology. For example, he remarked that theories that were considered great successes were also the most likely to be falsified. Zahar's view was that, with regard to corroborations found in the history of science, there was only a difference of emphasis between Popper and Lakatos. </p><p>As an anecdotal example, in one of his articles Lakatos challenged Popper to show that his theory was falsifiable: he asked "Under what conditions would you give up your demarcation criterion?".<sup id="cite_ref-FOOTNOTELakatos1974245_163-0" class="reference"><a href="#cite_note-FOOTNOTELakatos1974245-163"><span class="cite-bracket">[</span>86<span class="cite-bracket">]</span></a></sup> Popper replied "I shall give up my theory if Professor Lakatos succeeds in showing that Newton's theory is no more falsifiable by 'observable states of affairs' than is Freud's."<sup id="cite_ref-FOOTNOTEPopper19741010_164-0" class="reference"><a href="#cite_note-FOOTNOTEPopper19741010-164"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> According to David Stove, Lakatos succeeded, since Lakatos showed there is no such thing as a "non-Newtonian" behaviour of an observable object. Stove argued that Popper's counterexamples to Lakatos were either instances of <a href="/wiki/Begging_the_question" title="Begging the question">begging the question</a>, such as Popper's example of missiles moving in a "non-Newtonian track", or consistent with Newtonian physics, such as objects not falling to the ground without "obvious" countervailing forces against Earth's gravity.<sup id="cite_ref-FOOTNOTEStove198292_165-0" class="reference"><a href="#cite_note-FOOTNOTEStove198292-165"><span class="cite-bracket">[</span>88<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Normal_science_versus_revolutionary_science">Normal science versus revolutionary science</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=33" title="Edit section: Normal science versus revolutionary science"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Paradigm_shift" title="Paradigm shift">Paradigm shift</a></div> <p><a href="/wiki/Thomas_Kuhn" title="Thomas Kuhn">Thomas Kuhn</a> analyzed what he calls periods of normal science as well as revolutions from one period of normal science to another,<sup id="cite_ref-FOOTNOTEKuhn1996_166-0" class="reference"><a href="#cite_note-FOOTNOTEKuhn1996-166"><span class="cite-bracket">[</span>89<span class="cite-bracket">]</span></a></sup> whereas Popper's view is that only revolutions are relevant.<sup id="cite_ref-kuhnonpoppersviewonrevolution_167-0" class="reference"><a href="#cite_note-kuhnonpoppersviewonrevolution-167"><span class="cite-bracket">[</span>BZ<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-watkinsonPopperVsKuhn_168-0" class="reference"><a href="#cite_note-watkinsonPopperVsKuhn-168"><span class="cite-bracket">[</span>CA<span class="cite-bracket">]</span></a></sup> For Popper, the role of science, mathematics and metaphysics, actually the role of any knowledge, is to solve puzzles.<sup id="cite_ref-knowledgebeginswithproblems_169-0" class="reference"><a href="#cite_note-knowledgebeginswithproblems-169"><span class="cite-bracket">[</span>CB<span class="cite-bracket">]</span></a></sup> In the same line of thought, Kuhn observes that in periods of normal science the scientific theories, which represent some paradigm, are used to routinely solve puzzles and the validity of the paradigm is hardly in question. It is only when important new puzzles emerge that cannot be solved by accepted theories that a revolution might occur. This can be seen as a viewpoint on the distinction made by Popper between the informal and formal process in science (see section <a href="#Naive_falsificationism">§ Naive falsificationism</a>). In the big picture presented by Kuhn, the routinely solved puzzles are corroborations. Falsifications or otherwise unexplained observations are unsolved puzzles. All of these are used in the informal process that generates a new kind of theory. Kuhn says that Popper emphasizes formal or logical falsifications and fails to explain how the social and informal process works. </p> <div class="mw-heading mw-heading3"><h3 id="Unfalsifiability_versus_falsity_of_astrology">Unfalsifiability versus falsity of astrology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=34" title="Edit section: Unfalsifiability versus falsity of astrology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Astrology" title="Astrology">Astrology</a></div> <p>Popper often uses astrology as an example of a pseudoscience. He says that it is not falsifiable because both the theory itself and its predictions are too imprecise.<sup id="cite_ref-astrologysouthsayerstrick_170-0" class="reference"><a href="#cite_note-astrologysouthsayerstrick-170"><span class="cite-bracket">[</span>CC<span class="cite-bracket">]</span></a></sup> Kuhn, as a historian of science, remarked that many predictions made by astrologers in the past were quite precise and they were very often falsified. He also said that astrologers themselves acknowledged these falsifications.<sup id="cite_ref-khunastrologynonapplicabilityoffalsifiability_171-0" class="reference"><a href="#cite_note-khunastrologynonapplicabilityoffalsifiability-171"><span class="cite-bracket">[</span>CD<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Epistemological_anarchism_vs_the_scientific_method">Epistemological anarchism vs the scientific method</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=35" title="Edit section: Epistemological anarchism vs the scientific method"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951" /><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Epistemological_anarchism" class="mw-redirect" title="Epistemological anarchism">Epistemological anarchism</a></div> <p><a href="/wiki/Paul_Feyerabend" title="Paul Feyerabend">Paul Feyerabend</a> rejected any prescriptive methodology at all. He rejected Lakatos's argument for <a href="/wiki/Ad_hoc_hypothesis" title="Ad hoc hypothesis"><i>ad hoc</i> hypothesis</a>, arguing that science would not have progressed without making use of any and all available methods to support new theories. He rejected any reliance on a scientific method, along with any special authority for science that might derive from such a method.<sup id="cite_ref-FOOTNOTEMartin2017_172-0" class="reference"><a href="#cite_note-FOOTNOTEMartin2017-172"><span class="cite-bracket">[</span>90<span class="cite-bracket">]</span></a></sup> He said that if one is keen to have a universally valid methodological rule, <a href="/wiki/Epistemological_anarchism" class="mw-redirect" title="Epistemological anarchism">epistemological anarchism</a> or <i>anything goes</i> would be the only candidate.<sup id="cite_ref-FOOTNOTEFeyerabend1993_173-0" class="reference"><a href="#cite_note-FOOTNOTEFeyerabend1993-173"><span class="cite-bracket">[</span>91<span class="cite-bracket">]</span></a></sup> For Feyerabend, any special status that science might have, derives from the social and physical value of the results of science rather than its method.<sup id="cite_ref-FOOTNOTEBroad1979_174-0" class="reference"><a href="#cite_note-FOOTNOTEBroad1979-174"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Sokal_and_Bricmont">Sokal and Bricmont</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=36" title="Edit section: Sokal and Bricmont"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In their book <i><a href="/wiki/Fashionable_Nonsense" title="Fashionable Nonsense">Fashionable Nonsense</a></i> (from 1997, published in the UK as <i>Intellectual Impostures</i>) the physicists <a href="/wiki/Alan_Sokal" title="Alan Sokal">Alan Sokal</a> and <a href="/wiki/Jean_Bricmont" title="Jean Bricmont">Jean Bricmont</a> criticised falsifiability.<sup id="cite_ref-FOOTNOTESokalBricmont1998_175-0" class="reference"><a href="#cite_note-FOOTNOTESokalBricmont1998-175"><span class="cite-bracket">[</span>93<span class="cite-bracket">]</span></a></sup> They include this critique in the "Intermezzo" chapter, where they expose their own views on truth in contrast to the extreme epistemological relativism of postmodernism. Even though Popper is clearly not a relativist, Sokal and Bricmont discuss falsifiability because they see postmodernist epistemological relativism as a reaction to Popper's description of falsifiability, and more generally, to his theory of science.<sup id="cite_ref-FOOTNOTEMiller2000_176-0" class="reference"><a href="#cite_note-FOOTNOTEMiller2000-176"><span class="cite-bracket">[</span>94<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=37" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 21em;"> <ul><li><a href="/wiki/Black_swan_theory" title="Black swan theory">Black swan theory</a> – Theory of response to surprise events</li> <li><a href="/wiki/Contingency_(philosophy)" title="Contingency (philosophy)">Contingency (philosophy)</a> – Possible truths which are not necessary</li> <li><a href="/wiki/Defeasible_reasoning" title="Defeasible reasoning">Defeasible reasoning</a> – Reasoning that is rationally compelling, though not deductively valid</li> <li><a href="/wiki/Deniable_encryption" title="Deniable encryption">Deniable encryption</a> – Encryption techniques where an adversary cannot prove that the plaintext data exists - claim that a ciphertext decrypts to a particular plaintext can be falsified by possible decryption to another potential plaintext</li> <li><a href="/wiki/Fallibilism" title="Fallibilism">Fallibilism</a> – Philosophical principle</li> <li><a href="/wiki/Metaphysical_solipsism" title="Metaphysical solipsism">Metaphysical solipsism</a> – Variety of philosophical idealism</li> <li><a href="/wiki/Methodological_solipsism" title="Methodological solipsism">Methodological solipsism</a></li> <li><a href="/wiki/Philosophical_razor" title="Philosophical razor">Philosophical razor</a> – Principle that allows one to eliminate unlikely explanations <ul><li><a href="/wiki/Mike_Alder#Newton's_Flaming_Laser_Sword" title="Mike Alder">Mike Alder § Newton's Flaming Laser Sword</a></li> <li><a href="/wiki/Occam%27s_razor" title="Occam's razor">Occam's razor</a> – Philosophical problem-solving principle</li></ul></li> <li><a href="/wiki/Philosophy_of_mathematics" title="Philosophy of mathematics">Philosophy of mathematics</a></li> <li><a href="/wiki/Plausible_deniability" title="Plausible deniability">Plausible deniability</a> – Ability to deny responsibility</li> <li><a href="/wiki/Pragmatic_maxim" title="Pragmatic maxim">Pragmatic maxim</a> – Maxim of logic formulated by Charles Sanders Peirce.</li> <li><a href="/wiki/Precambrian_rabbit" title="Precambrian rabbit">Precambrian rabbit</a> – Evolutionary biology hypothetical posed by J. B. S. Haldane</li> <li><a href="/wiki/Raven_paradox" title="Raven paradox">Raven paradox</a> – Paradox arising from the question of what constitutes evidence for a statement</li> <li><a href="/wiki/Russell%27s_teapot" title="Russell's teapot">Russell's teapot</a> – Analogy devised by Bertrand Russell</li> <li><a href="/wiki/Scientific_method" title="Scientific method">Scientific method</a> – Interplay between observation, experiment, and theory in science <ul><li><a href="/wiki/Adversarial_collaboration" title="Adversarial collaboration">Adversarial collaboration</a> – research collaboration by scientists with opposing views<span style="display:none" class="category-wikidata-fallback-annotation">Pages displaying wikidata descriptions as a fallback</span></li> <li><a href="/wiki/Experimentum_crucis" title="Experimentum crucis"><i>Experimentum crucis</i></a> – Critical experiment</li> <li><a href="/wiki/Explanatory_power" title="Explanatory power">Explanatory power</a> – Ability of a theory to explain a subject</li> <li><a href="/wiki/Hypothetico-deductive_model" title="Hypothetico-deductive model">Hypothetico-deductive model</a> – Proposed description of the scientific method</li> <li><a href="/wiki/Models_of_scientific_inquiry" title="Models of scientific inquiry">Models of scientific inquiry</a> – Philosophy of Science<span style="display:none" class="category-wikidata-fallback-annotation">Pages displaying wikidata descriptions as a fallback</span></li> <li><a href="/wiki/Predictive_power" title="Predictive power">Predictive power</a> – Ability of a scientific theory to generate testable predictions</li> <li><a href="/wiki/Reproducibility" title="Reproducibility">Reproducibility</a> – Aspect of scientific research</li> <li><a href="/wiki/Statistical_hypothesis_testing" class="mw-redirect" title="Statistical hypothesis testing">Statistical hypothesis testing</a> – Method of statistical inference<span style="display:none" class="category-annotation-with-redirected-description">Pages displaying short descriptions of redirect targets</span></li> <li><a href="/wiki/Superseded_scientific_theories" class="mw-redirect" title="Superseded scientific theories">Superseded scientific theories</a> – Obsolete theories in natural philosophy and natural history<span style="display:none" class="category-annotation-with-redirected-description">Pages displaying short descriptions of redirect targets</span></li> <li><a href="/wiki/Theory-ladenness" title="Theory-ladenness">Theory-ladenness</a> – Degree to which an observation is affected by one's presuppositions</li></ul></li> <li><a href="/wiki/Scientific_skepticism" title="Scientific skepticism">Scientific skepticism</a> – Questioning of claims lacking empirical evidence</li> <li><a href="/wiki/Superdeterminism" title="Superdeterminism">Superdeterminism</a> – Class of theories in quantum mechanics</li> <li><a href="/wiki/Tautology_(logic)" title="Tautology (logic)">Tautology (logic)</a> – In logic, a statement which is always true</li> <li><a href="/wiki/Trial_and_error" title="Trial and error">Trial and error</a> – Method of problem-solving</li></ul> </div> <div style="clear:both;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=38" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-upper-alpha"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-Popperonstateofaffairs-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-Popperonstateofaffairs_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Popperonstateofaffairs_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> Popper discusses the notion of imaginary state of affairs in the context of scientific realism in <a href="#CITEREFPopper1972">Popper 1972</a>, Chap.2, Sec.5: (emphasis added) "[H]uman language is essentially descriptive (and argumentative), and an unambiguous description is always realistic: it is of something—of some state of affairs which may be real or <b>imaginary</b>. Thus if the state of affairs is imaginary, then the description is simply false and its negation is a true description of reality, in Tarski's sense." He continues (emphasis added) "Tarski's theory more particularly makes clear just what fact a statement P will correspond to if it corresponds to any fact: namely the fact that p. ... a false statement P is false not because it corresponds to some odd entity like a non-fact, but simply because it does not correspond to any fact: it does not stand in the peculiar relation of correspondence to a fact to anything real, though it stands in a relation like 'describes' to the <b>spurious</b> state of affairs that p."</span> </li> <li id="cite_note-faithfultranslationofLoSD-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-faithfultranslationofLoSD_2-0">^</a></b></span> <span class="reference-text"> Popper wanted the main text of the 1959 English version, <i>The Logic of Scientific Discovery</i>, to conform to the original, thus refused to make substantial corrections and only added notes and appendices and marked them with an asterisk (see <a href="#CITEREFPopper1959">Popper 1959</a>, Translators' note).</span> </li> <li id="cite_note-basicstatementsbreakthesymmetry-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-basicstatementsbreakthesymmetry_3-0">^</a></b></span> <span class="reference-text">The falsifiability criterion is formulated in terms of basic statements or observation statements without requiring that we know which ones of these observation statements correspond to actual facts. These basic statements break the symmetry, while being purely logical concepts.</span> </li> <li id="cite_note-blackswanimpossible-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-blackswanimpossible_4-0">^</a></b></span> <span class="reference-text"> "All swans are white" is often chosen as an example of a falsifiable statement, because for some 1500 years, the <a href="/wiki/Black_swan_emblems_and_popular_culture#European_myth_and_metaphor" title="Black swan emblems and popular culture">black swan existed in the European imagination</a> as a <a href="/wiki/Black_swan_theory" title="Black swan theory">metaphor for that which could not exist</a>. Had the presumption concerning black swans in this metaphor be right, the statement would still have been falsifiable. </span> </li> <li id="cite_note-cleardistinctioncomplete-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-cleardistinctioncomplete_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-cleardistinctioncomplete_5-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-cleardistinctioncomplete_5-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFThornton2016">Thornton 2016</a>, sec. 3: "Popper has always drawn a clear distinction between the logic of falsifiability and its applied methodology. The logic of his theory is utterly simple: if a single ferrous metal is unaffected by a magnetic field it cannot be the case that all ferrous metals are affected by magnetic fields. Logically speaking, a scientific law is conclusively falsifiable although it is not conclusively verifiable. Methodologically, however, the situation is much more complex: no observation is free from the possibility of error—consequently we may question whether our experimental result was what it appeared to be."</span> </li> <li id="cite_note-twomeanings-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-twomeanings_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-twomeanings_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-twomeanings_6-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFPopper1983">Popper 1983</a>, Introduction 1982: "We must distinguish two meanings of the expressions <i>falsifiable</i> and <i>falsifiability</i>:<br />"1) <i>Falsifiable</i> as a logical-technical term, in the sense of the demarcation criterion of falsifiability. This purely logical concept—falsifiable in principle, one might say—rests on a logical relation between the theory in question and the class of basic statements (or the potential falsifiers described by them).<br />"2) <i>Falsifiable</i> in the sense that the theory in question can definitively or conclusively or demonstrably be falsified ("demonstrably falsifiable").<br />"I have always stressed that even a theory which is obviously falsifiable in the first sense is never falsifiable in this second sense. (For this reason I have used the expression <i>falsifiable</i> as a rule only in the first, technical sense. In the second sense, I have as a rule spoken not of <i>falsifiability</i> but rather of <i>falsification</i> and of its problems)."</span> </li> <li id="cite_note-somecontradiction-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-somecontradiction_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-somecontradiction_7-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFPopper1983">Popper 1983</a>, Introduction 1982: "Although the first sense refers to the logical possibility of a falsification in principle, the second sense refers to a conclusive practical experimental proof of falsity. But anything like conclusive proof to settle an empirical question does not exist. An entire literature rests on the failure to observe this distinction." For a discussion related to this lack of distinction, see <a href="#CITEREFRosende2009">Rosende 2009</a>, p. 142. </span> </li> <li id="cite_note-falsifiabilityasfalsificationproblems-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-falsifiabilityasfalsificationproblems_10-0">^</a></b></span> <span class="reference-text">Falsifiability does not require falsification. A past, present and even a future falsification would be a problematic requirement: it cannot be achieved, because definitive rigorous falsifications are impossible and, if a theory nevertheless met this requirement, it would not be much better than a falsified theory.</span> </li> <li id="cite_note-inductionisalogicalfallacy-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-inductionisalogicalfallacy_11-0">^</a></b></span> <span class="reference-text"> Popper's argument is that inductive inference is a fallacy : "I hold with Hume that there simply is no such logical entity as an inductive inference; or, that all so-called inductive inferences are logically invalid".<sup id="cite_ref-FOOTNOTEGreenland1998545_177-0" class="reference"><a href="#cite_note-FOOTNOTEGreenland1998545-177"><span class="cite-bracket">[</span>95<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGrayling2019397_13-1" class="reference"><a href="#cite_note-FOOTNOTEGrayling2019397-13"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></span> </li> <li id="cite_note-neveruseinduction-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-neveruseinduction_14-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1983">Popper 1983</a>, chap. 1, sec. 3: "It seems that almost everybody believes in induction; believes, that is, that we learn by the repetition of observations. Even Hume, in spite of his great discovery that a natural law can neither be established nor made 'probable' by induction, continued to believe firmly that animals and men do learn through repetition: through repeated observations as well as through the formation of habits, or the strengthening of habits, by repetition. And he upheld the theory that induction, though rationally indefensible and resulting in nothing better than unreasoned belief, was nevertheless reliable in the main—more reliable and useful at any rate than reason and the processes of reasoning; and that 'experience' was thus the unreasoned result of a (more or less passive) accumulation of observations. As against all this, I happen to believe that in fact we never draw inductive inferences, or make use of what are now called 'inductive procedures'. Rather, we always discover regularities by the essentially different method of trial and error."</span> </li> <li id="cite_note-inductionnotneeded-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-inductionnotneeded_15-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, part I, chap. 2, sec. 11: "[I] dispense with the principle of induction: not because such a principle is as a matter of fact never used in science, but because I think that it is not needed; that it does not help us; and that it even gives rise to inconsistencies."</span> </li> <li id="cite_note-OneThousandFoldAdler-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-OneThousandFoldAdler_21-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1962">Popper 1962</a>, p. 35: "As for Adler, I was much impressed by a personal experience. Once, in 1919, I reported to him a case which to me did not seem particularly Adlerian, but which he found no difficulty in analysing in terms of his theory of inferiority feelings, although he had not even seen the child. Slightly shocked, I asked him how he could be so sure. 'Because of my thousandfold experience,' he replied; whereupon I could not help saying: 'And with this new case, I suppose, your experience has become thousand-and-one-fold.'"</span> </li> <li id="cite_note-thorntonbetterifcorroborated-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-thorntonbetterifcorroborated_22-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFThornton2007">Thornton 2007</a>, p. 3: "However, a theory that has successfully withstood critical testing is thereby 'corroborated', and may be regarded as being preferable to falsified rivals. In the case of rival unfalsified theories, for Popper, the higher the informative content of a theory the better it is scientifically, because every gain in content brings with it a commensurate gain in predictive scope and testability."</span> </li> <li id="cite_note-popperbetterifcorroborated-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-popperbetterifcorroborated_23-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, p. 19: "Various objections might be raised against the criterion of demarcation here proposed. In the first place, it may well seem somewhat wrong-headed to suggest that science, which is supposed to give us positive information, should be characterized as satisfying a negative requirement such as refutability. However, I shall show, in sections 31 to 46, that this objection has little weight, since the amount of positive information about the world which is conveyed by a scientific statement is the greater the more likely it is to clash, because of its logical character, with possible singular statements. (Not for nothing do we call the laws of nature 'laws': the more they prohibit the more they say.)"</span> </li> <li id="cite_note-britannicameaningvstestability-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-britannicameaningvstestability_24-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFFeigl1978">Feigl 1978</a>: "Karl Popper, an Austrian-born British philosopher of science, in his Logik der Forschung (1935; The Logic of Scientific Discovery), insisted that the meaning criterion should be abandoned and replaced by a criterion of demarcation between empirical (scientific) and transempirical (nonscientific, metaphysical) questions and answers—a criterion that, according to Popper, is to be testability."</span> </li> <li id="cite_note-Popperpsychologyshouldbebiology-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-Popperpsychologyshouldbebiology_30-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1972">Popper 1972</a>, Sec. 1.9: "Quite apart from [Hume's psychological theory of induction], I felt that psychology should be regarded as a biological discipline, and especially that any psychological theory of the acquisition of knowledge should be so regarded. Now if we transfer to human and animal psychology [the method that consists in choosing the best tested theory among conjectured theories], we arrive, clearly, at the well-known method of trial and error-elimination."</span> </li> <li id="cite_note-Popperepistemologywithoutbiology-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-Popperepistemologywithoutbiology_31-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, Sec. 85: "What I have here in mind is not a picture of science as a biological phenomenon ...: I have in mind its epistemological aspects."</span> </li> <li id="cite_note-Popperagainstpsichologism-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-Popperagainstpsichologism_34-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, pp. 7–8: "This latter is concerned not with questions of fact (Kant's quid facti?), but only with questions of justification or validity (Kant's quid juris?). Its questions are of the following kind. Can a statement be justified? And if so, how? Is it testable? Is it logically dependent on certain other statements? Or does it perhaps contradict them? In order that a statement may be logically examined in this way, it must already have been presented to us. Someone must have formulated it, and submitted it to logical examination."</span> </li> <li id="cite_note-Popperabouthisnegativemethodology-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-Popperabouthisnegativemethodology_36-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>, Sec. 1.8: "The fundamental difference between my approach and the approach for which I long ago introduced the label 'inductivist' is that I lay stress on negative arguments, such as negative instances or counter-examples, refutations, and attempted refutations—in short, criticism".</span> </li> <li id="cite_note-appledancingexample-41"><span class="mw-cite-backlink">^ <a href="#cite_ref-appledancingexample_41-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-appledancingexample_41-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFPopper1974">Popper 1974</a>, p. 1005: "Newton's theory ... would equally be contradicted if the apples from one of my, or Newton's, apple trees were to rise from the ground (without there being a whirling about), and begin to dance round the branches of the apple tree from which they had fallen."</span> </li> <li id="cite_note-invisiblestrings-42"><span class="mw-cite-backlink"><b><a href="#cite_ref-invisiblestrings_42-0">^</a></b></span> <span class="reference-text">In a spirit of criticism, <a href="/wiki/John_W._N._Watkins" title="John W. N. Watkins">Watkins</a> (<a href="#CITEREFWatkins1984">Watkins1984</a>, Sec. 8.52) liked to refer to invisible strings instead of some abstract law to explain this kind of evidence against Newton's Gravity.</span> </li> <li id="cite_note-thematerialrequirement-43"><span class="mw-cite-backlink"><b><a href="#cite_ref-thematerialrequirement_43-0">^</a></b></span> <span class="reference-text"> The requirement that the language must be empirical is known in the literature as the material requirement. For example, see <a href="#CITEREFNolaSankey2014">Nola & Sankey 2014</a>, pp. 256, 268 and <a href="#CITEREFShea2020">Shea 2020</a>, Sec 2.c. This requirement says that the statements that describe observations, the basic statements, must be <a href="/wiki/Intersubjective_verifiability" title="Intersubjective verifiability">intersubjectively verifiable</a>. </span> </li> <li id="cite_note-fourlinesoftesting-47"><span class="mw-cite-backlink">^ <a href="#cite_ref-fourlinesoftesting_47-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-fourlinesoftesting_47-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> In Popper's description of the scientific procedure of testing, as explained by Thornton (see <a href="#CITEREFThornton2016">Thornton 2016</a>, Sec. 4), there is no discussion of factual observations except in those tests that compare the theory with factual observations, but in these tests too the procedure is mostly logical and involves observations that are only logical constructions (<a href="#CITEREFPopper1959">Popper 1959</a>, pp. 9–10): "We may if we like distinguish four different lines along which the testing of a theory could be carried out. First there is the logical comparison of the conclusions among themselves, by which the internal consistency of the system is tested. Secondly, there is the investigation of the logical form of the theory, with the object of determining whether it has the character of an empirical or scientific theory, or whether it is, for example, tautological. Thirdly, there is the comparison with other theories, chiefly with the aim of determining whether the theory would constitute a scientific advance should it survive our various tests. And finally, there is the testing of the theory by way of empirical applications of the conclusions which can be derived from it. ... Here too the procedure of testing turns out to be deductive. With the help of other statements, previously accepted, certain singular statements—which we may call 'predictions'—are deduced from the theory; especially predictions that are easily testable or applicable. From among these statements, those are selected which are not derivable from the current theory, and more especially those which the current theory contradicts."</span> </li> <li id="cite_note-poppernoapriori-48"><span class="mw-cite-backlink"><b><a href="#cite_ref-poppernoapriori_48-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, p. 9: "According to the view that will be put forward here, the method of critically testing theories, and selecting them according to the results of tests, always proceeds on the following lines. From a new idea, put up tentatively, and not yet justified in any way—an anticipation, a hypothesis, a theoretical system, or what you will—conclusions are drawn by means of logical deduction. These conclusions are then compared with one another and with other relevant statements, so as to find what logical relations (such as equivalence, derivability, compatibility, or incompatibility) exist between them."</span> </li> <li id="cite_note-keuthbasicstatementsdependontechnology-50"><span class="mw-cite-backlink"><b><a href="#cite_ref-keuthbasicstatementsdependontechnology_50-0">^</a></b></span> <span class="reference-text"> In practice, technologies change. When the interpretation of a theory is modified by an improved technological interpretation of some properties, the new theory can be seen as the same theory with an enlarged scope. For example, <a href="/w/index.php?title=Herbert_Keuth&action=edit&redlink=1" class="new" title="Herbert Keuth (page does not exist)">Herbert Keuth</a><sup class="noprint" style="font-style: normal;"> [<a href="https://de.wikipedia.org/wiki/Herbert_Keuth" class="extiw" title="de:Herbert Keuth">de</a>]</sup>, (<a href="#CITEREFKeuth2005">Keuth 2005</a>, p. 43) wrote: "But Popper's falsifiability or testability criterion does not presuppose that a definite distinction between testable and non testable statement is possible ... technology changes. Thus <i>a hypotheses that was first untestable may become testable later on</i>."</span> </li> <li id="cite_note-nodiscussionneededforbasicstatements-52"><span class="mw-cite-backlink"><b><a href="#cite_ref-nodiscussionneededforbasicstatements_52-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, section 7, page 21: "If falsifiability is to be at all applicable as a criterion of demarcation, then singular statements must be available which can serve as premisses in falsifying inferences. Our criterion therefore appears only to shift the problem—to lead us back from the question of the empirical character of theories to the question of the empirical character of singular statements.<br />"Yet even so, something has been gained. For in the practice of scientific research, demarcation is sometimes of immediate urgency in connection with theoretical systems, whereas in connection with singular statements, doubt as to their empirical character rarely arises. It is true that errors of observation occur and that they give rise to false singular statements, but the scientist scarcely ever has occasion to describe a singular statement as non-empirical or metaphysical."</span> </li> <li id="cite_note-nosolidgrown-54"><span class="mw-cite-backlink">^ <a href="#cite_ref-nosolidgrown_54-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-nosolidgrown_54-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFPopper1962">Popper 1962</a>, p. 387: "Before using the terms 'basic' and 'basic statement', I made use of the term 'empirical basis', meaning by it the class of all those statements which may function as tests of empirical theories (that is, as potential falsifiers). In introducing the term 'empirical basis' my intention was, partly, to give an ironical emphasis to my thesis that the empirical basis of our theories is far from firm; that it should be compared to a swamp rather than to solid ground."</span> </li> <li id="cite_note-modeltheoryperspective-60"><span class="mw-cite-backlink"><b><a href="#cite_ref-modeltheoryperspective_60-0">^</a></b></span> <span class="reference-text">This perspective can be found in any text on model theory. For example, see <a href="#CITEREFEbbinghaus2017">Ebbinghaus 2017</a>.</span> </li> <li id="cite_note-einsteinquivalenceprincipleisfalsifiable-63"><span class="mw-cite-backlink"><b><a href="#cite_ref-einsteinquivalenceprincipleisfalsifiable_63-0">^</a></b></span> <span class="reference-text"> Popper put as an example of falsifiable statement with failed falsifications Einstein's <a href="/wiki/Equivalence_principle" title="Equivalence principle">equivalence principle</a>. See <a href="#CITEREFPopper1983">Popper 1983</a>, Introduction, sec. I: "Einstein's principle of proportionality of inert and (passively) heavy mass. This equivalence principle conflicts with many potential falsifiers: events whose observation is logically possible. Yet despite all attempts (the experiments by Eötvös, more recently refined by Rickle) to realize such a falsification experimentally, the experiments have so far corroborated the principle of equivalence."</span> </li> <li id="cite_note-Fisherdefoffitness-65"><span class="mw-cite-backlink"><b><a href="#cite_ref-Fisherdefoffitness_65-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFFisher1930">Fisher 1930</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=WPfvAgAAQBAJ&pg=PA34">34</a>: "Since m measures fitness to survive by the objective fact of representation in future generations,"</span> </li> <li id="cite_note-66"><span class="mw-cite-backlink"><b><a href="#cite_ref-66">^</a></b></span> <span class="reference-text">For example, see <a href="#CITEREFCruzan2018">Cruzan 2018</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=nzRtDwAAQBAJ&dq&pg=PA156">156</a>, <a href="#CITEREFMuehlenbein2010">Muehlenbein 2010</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=3NRf_8gwmO8C&pg=PA21">21</a> or <a href="#CITEREFRidley2003">Ridley 2003</a>, <a rel="nofollow" class="external text" href="https://www.blackwellpublishing.com/ridley/tutorials/The_theory_of_natural_selection__part_2_2.asp">website complement</a></span> </li> <li id="cite_note-evolutionhypothesescanoftenbetested-68"><span class="mw-cite-backlink"><b><a href="#cite_ref-evolutionhypothesescanoftenbetested_68-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1980">Popper 1980</a>, p. 611: "It does appear that some people think that I denied scientific character to the historical sciences, such as palaeontology, or the history of the evolution of life on Earth. This is a mistake, and I here wish to affirm that these and other historical sciences have in my opinion scientific character; their hypotheses can in many cases be tested."</span> </li> <li id="cite_note-iftechnologyiswingsthentautology-72"><span class="mw-cite-backlink"><b><a href="#cite_ref-iftechnologyiswingsthentautology_72-0">^</a></b></span> <span class="reference-text"> If the criteria to identify an angel was simply to observe large wings, then "this angel does not have large wings" would be a <i>logical</i> contradiction and thus not a basic statement anyway.</span> </li> <li id="cite_note-allactionsareegotisticnotfalsifiable-73"><span class="mw-cite-backlink"><b><a href="#cite_ref-allactionsareegotisticnotfalsifiable_73-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1983">Popper 1983</a>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=tlowU8nS2ygC&pg=PAPR20">Introduction, xx</a>: "This theory ['All human actions are egotistic, motivated by self-interest'] is widely held: it has variants in behaviourism, psychoanalysis, individual psychology, utilitarianism, vulgar-marxism, religion, and sociology of knowledge. Clearly this theory, with all its variants, is not falsifiable: no example of an altruistic action can refute the view that there was an egotistic motive hidden behind it."</span> </li> <li id="cite_note-popperexistentialstatementsverifiedbystronger-77"><span class="mw-cite-backlink">^ <a href="#cite_ref-popperexistentialstatementsverifiedbystronger_77-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-popperexistentialstatementsverifiedbystronger_77-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFPopper1974">Popper 1974</a>, p. 1038: "[A]s indeed is the case in Maxwell's example, when existential statements are verified this is done by means of stronger falsifiable statements. ... What this means is this. Whenever a pure existential statement, by being empirically "confirmed", appears to belong to empirical science, it will in fact do so <i>not on its own account</i>, but <i>by virtue of being a consequence of a corroborated falsifiable theory</i>."</span> </li> <li id="cite_note-keuthfinitemeltingpoint-79"><span class="mw-cite-backlink"><b><a href="#cite_ref-keuthfinitemeltingpoint_79-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFKeuth2005">Keuth 2005</a>, p. 46: "[T]he existential quantifier in the symbolized version of "Every solid has a melting point" is not inevitable; rather this statement is actually a negligent phrasing of what we really mean."</span> </li> <li id="cite_note-naturalselectionassurvivalofthefittest-83"><span class="mw-cite-backlink"><b><a href="#cite_ref-naturalselectionassurvivalofthefittest_83-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFDarwin1869">Darwin 1869</a>, pp. <a rel="nofollow" class="external text" href="http://darwin-online.org.uk/content/frameset?viewtype=text&itemID=F387&pageseq=101">72</a>: "I have called this principle, by which each slight variation, if useful, is preserved, by the term natural selection, in order to mark its relation to man's power of selection. But the expression often used by Mr. Herbert Spencer, of the Survival of the Fittest, is more accurate, and is sometimes equally convenient."</span> </li> <li id="cite_note-thompsonnaturalselectionastautology-84"><span class="mw-cite-backlink"><b><a href="#cite_ref-thompsonnaturalselectionastautology_84-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFThompson1981">Thompson 1981</a>, pp. 52–53, Introduction: "For several years, evolutionary theory has been under attack from critics who argue that the theory is basically a tautology. The tautology is said to arise from the fact that evolutionary biologists have no widely accepted way to independently define 'survival' and 'fitness.' That the statement, 'the fit survive,' is tautological is important, because if the critics are correct in their analysis, the tautology renders meaningless much of contemporary evolutionary theorizing. ... The definition of key evolutionary concepts in terms of natural selection runs the risk of making evolutionary theory a self-contained, logical system which is isolated from the empirical world. No meaningful empirical prediction can be made from one side to the other side of these definitions. One cannot usefully predict that nature selects the fittest organism since the fittest organism is by definition that which nature selects."</span> </li> <li id="cite_note-naturalselectionasatautology-85"><span class="mw-cite-backlink"><b><a href="#cite_ref-naturalselectionasatautology_85-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFWaddington1959">Waddington 1959</a>, pp. 383–384: "Darwin's major contribution was, of course, the suggestion that evolution can be explained by the natural selection of random variations. Natural selection, which was at first considered as though it were a hypothesis that was in need of experimental or observational confirmation, turns out on closer inspection to be a tautology, a statement of an inevitable, although previously unrecognized, relation. It states that the fittest individuals in a population (defined as those which leave most offspring) will leave most offspring. Once the statement is made, its truth is apparent. This fact in no way reduces the magnitude of Darwin's achievement; only after it was clearly formulated, could biologists realize the enormous power of the principle as a weapon of explanation."</span> </li> <li id="cite_note-poppernaturalselectiontautological-86"><span class="mw-cite-backlink"><b><a href="#cite_ref-poppernaturalselectiontautological_86-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1994">Popper 1994</a>, p. 90: "If, more especially, we accept that statistical definition of fitness which defines fitness by actual survival, then the theory of the survival of the fittest becomes tautological, and irrefutable."</span> </li> <li id="cite_note-thompsonnotalltraitsaffectfitness-87"><span class="mw-cite-backlink"><b><a href="#cite_ref-thompsonnotalltraitsaffectfitness_87-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFThompson1981">Thompson 1981</a>, p. 53, Introduction: "Even if it did not make a tautology of evolution theory, the use of natural selection as a descriptive concept would have serious drawbacks. While it is mathematically tractable and easy to model in the laboratory, the concept is difficult to operationalize in the field. For field biologists, it is really a hypothetical entity. Clear, unambiguous instances of the operation of natural selection are difficult to come by and always greeted with great enthusiasm by biologists (Kettlewell, 1959 [the case of the peppered moths]; Shepherd, 1960). Thus, although the concept has much to recommend it as an explanatory one, it seems an overly abstract formulation on which to base a descriptive science."</span> </li> <li id="cite_note-poppernotalltraitsaffectfitness-88"><span class="mw-cite-backlink"><b><a href="#cite_ref-poppernotalltraitsaffectfitness_88-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1978">Popper 1978</a>, p. 342: "However, Darwin's own most important contribution to the theory of evolution, his theory of natural selection, is difficult to test. There are some tests, even some experimental tests; and in some cases, such as the famous phenomenon known as "industrial melanism", we can observe natural selection happening under our very eyes, as it were. Nevertheless, really severe tests of the theory of natural selection are hard to come by, much more so than tests of otherwise comparable theories in physics or chemistry."</span> </li> <li id="cite_note-marxismoriginallaw-92"><span class="mw-cite-backlink"><b><a href="#cite_ref-marxismoriginallaw_92-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1995">Popper 1995</a>, Chap.15 sec. III (<a rel="nofollow" class="external text" href="https://archive.org/details/in.ernet.dli.2015.77661/page/n109/mode/1up">page 101 here</a>): "In Marx's view, it is vain to expect that any important change can be achieved by the use of legal or political means; a political revolution can only lead to one set of rulers giving way to another set—a mere exchange of the persons who act as rulers. Only the evolution of the underlying essence, the economic reality can produce any essential or real change—a social revolution."</span> </li> <li id="cite_note-marxismearlierversionswerefalsifiable-93"><span class="mw-cite-backlink"><b><a href="#cite_ref-marxismearlierversionswerefalsifiable_93-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1962">Popper 1962</a>, p. 37: "In some of its earlier formulations (for example in Marx's analysis of the character of the 'coming social revolution') their predictions were testable, and in fact falsified. Yet instead of accepting the refutations the followers of Marx re-interpreted both the theory and the evidence in order to make them agree. In this way they rescued the theory from refutation; but they did so at the price of adopting a device which made it irrefutable. They thus gave a 'conventionalist twist' to the theory; and by this stratagem they destroyed its much advertised claim to scientific status."</span> </li> <li id="cite_note-thorntonmarxismchangeofstatus-94"><span class="mw-cite-backlink"><b><a href="#cite_ref-thorntonmarxismchangeofstatus_94-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFThornton2016">Thornton 2016</a>, Sec. 2: "The Marxist account of history too, Popper held, is not scientific, although it differs in certain crucial respects from psychoanalysis. For Marxism, Popper believed, had been initially scientific, in that Marx had postulated a theory which was genuinely predictive. However, when these predictions were not in fact borne out, the theory was saved from falsification by the addition of ad hoc hypotheses which made it compatible with the facts. By this means, Popper asserted, a theory which was initially genuinely scientific degenerated into pseudo-scientific dogma."</span> </li> <li id="cite_note-surveys-98"><span class="mw-cite-backlink"><b><a href="#cite_ref-surveys_98-0">^</a></b></span> <span class="reference-text">Surveys were mailed to all active U.S. district court judges in November 1998 (N = 619). 303 usable surveys were obtained for a response rate of 51%. See <a href="#CITEREFKrafka2002">Krafka 2002</a>, p. 9 in archived pdf.</span> </li> <li id="cite_note-100"><span class="mw-cite-backlink"><b><a href="#cite_ref-100">^</a></b></span> <span class="reference-text">The Daubert case and subsequent cases that used it as a reference, including <i><a href="/wiki/General_Electric_Co._v._Joiner" title="General Electric Co. v. Joiner">General Electric Co. v. Joiner</a></i> and <i><a href="/wiki/Kumho_Tire_Co._v._Carmichael" title="Kumho Tire Co. v. Carmichael">Kumho Tire Co. v. Carmichael</a></i>, resulted in an amendment of the <a href="/wiki/Federal_Rules_of_Evidence" title="Federal Rules of Evidence">Federal Rules of Evidence</a> (see <a href="#CITEREFRules_of_Evidence2017">Rules of Evidence 2017</a>, p. 15, Rule 702 and <a href="#CITEREFRule_702_Notes2011">Rule 702 Notes 2011</a>). The <i>Kumho Tire Co. v. Carmichael</i> case and other cases considered the original Daubert factors, but the amended rule, rule 702, even though it is often referred to as the <a href="/wiki/Daubert_standard" title="Daubert standard">Daubert standard</a>, does not include the original Daubert factors or mention falsifiability or <a href="/wiki/Testability" title="Testability">testability</a> and neither does the majority opinion delivered by <a href="/wiki/William_Rehnquist" title="William Rehnquist">William Rehnquist</a> in the <i>General Electric Co. v. Joiner</i> case.</span> </li> <li id="cite_note-101"><span class="mw-cite-backlink"><b><a href="#cite_ref-101">^</a></b></span> <span class="reference-text">Not to be confused with <a href="/wiki/David_Kaye_(law_professor)" class="mw-redirect" title="David Kaye (law professor)">David Kaye (law professor)</a>, United Nations special rapporteur. David H. Kaye is distinguished professor of law at <a href="/wiki/Penn_State_Law" title="Penn State Law">Penn State Law</a>.</span> </li> <li id="cite_note-102"><span class="mw-cite-backlink"><b><a href="#cite_ref-102">^</a></b></span> <span class="reference-text"><a href="#CITEREFKaye2005">Kaye 2005</a>, p. 2: "several courts have treated the abstract possibility of falsification as sufficient to satisfy this aspect of the screening of scientific evidence. This essay challenges these views. It first explains the distinct meanings of falsification and falsifiability. It then argues that while the Court did not embrace the views of any specific philosopher of science, inquiring into the existence of meaningful attempts at falsification is an appropriate and crucial consideration in admissibility determinations. Consequently, it concludes that recent opinions substituting mere falsifiability for actual empirical testing are misconstruing and misapplying Daubert."</span> </li> <li id="cite_note-anyapproachtofalsifyisok-108"><span class="mw-cite-backlink"><b><a href="#cite_ref-anyapproachtofalsifyisok_108-0">^</a></b></span> <span class="reference-text">As Lakatos pointed out, scientists decide among themselves using critical discussions which potential falsifiers are accepted. There is no strict constraints on which method can be used to take the decision.</span> </li> <li id="cite_note-duhemcritic-121"><span class="mw-cite-backlink"><b><a href="#cite_ref-duhemcritic_121-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1962">Popper 1962</a>, p. 111: "Against the view here developed one might be tempted to object (following Duhem 28) that in every test it is not only the theory under investigation which is involved, but also the whole system of our theories and assumptions—in fact, more or less the whole of our knowledge—so that we can never be certain which of all these assumptions is refuted. But this criticism overlooks the fact that if we take each of the two theories (between which the crucial experiment is to decide) together with all this background knowledge, as indeed we must, then we decide between two systems which differ only over the two theories which are at stake. It further overlooks the fact that we do not assert the refutation of the theory as such, but of the theory together with that background knowledge; parts of which, if other crucial experiments can be designed, may indeed one day be rejected as responsible for the failure. (Thus we may even characterize a theory under investigation as that part of a vast system for which we have, if vaguely, an alternative in mind, and for which we try to design crucial tests.)"</span> </li> <li id="cite_note-twootherdecisions-123"><span class="mw-cite-backlink"><b><a href="#cite_ref-twootherdecisions_123-0">^</a></b></span> <span class="reference-text"> These four decisions are mentioned in <a href="#CITEREFLakatos1978">Lakatos 1978</a>, pp. 22–25. A fifth decision is mentioned later by Lakatos to allow even more theories to be falsified.</span> </li> <li id="cite_note-poppernonnaive-125"><span class="mw-cite-backlink"><b><a href="#cite_ref-poppernonnaive_125-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, p. 91: "It may now be possible for us to answer the question: How and why do we accept one theory in preference to others? The preference is certainly not due to anything like a experiential justification of the statements composing the theory; it is not due to a logical reduction of the theory to experience. We choose the theory which best holds its own in competition with other theories; the one which, by natural selection, proves itself the fittest to survive. This will be the one which not only has hitherto stood up to the severest tests, but the one which is also testable in the most rigorous way. A theory is a tool which we test by applying it, and which we judge as to its fitness by the results of its applications."</span> </li> <li id="cite_note-popper01and2-126"><span class="mw-cite-backlink"><b><a href="#cite_ref-popper01and2_126-0">^</a></b></span> <span class="reference-text"> Lakatos says that Popper is not the sophisticated falsificationist that he describes, but not the naive falsificationist either (see <a href="#CITEREFLakatos1978">Lakatos 1978</a>): "In an earlier paper,' I distinguished three Poppers: Popper0, Popper1, and Popper2. Popper0 is the dogmatic falsificationist ... Popper1 is the naive falsificationist, Popper2 the sophisticated falsificationist. ... The real Popper has never explained in detail the appeal procedure by which some 'accepted basic statements', may be eliminated. Thus the real Popper consists of Popper1 together with some elements of Popper2."</span> </li> <li id="cite_note-methodologydifferfrompurelogic-127"><span class="mw-cite-backlink"><b><a href="#cite_ref-methodologydifferfrompurelogic_127-0">^</a></b></span> <span class="reference-text"> Popper clearly distinguishes between the methodological rules and the rules of pure logic (see <a href="#CITEREFPopper1959">Popper 1959</a>, p. 32): "Methodological rules are here regarded as conventions. They might be described as the rules of the game of empirical science. They differ from the rules of pure logic"</span> </li> <li id="cite_note-Poppermethodbeyondlogic-128"><span class="mw-cite-backlink"><b><a href="#cite_ref-Poppermethodbeyondlogic_128-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, p. 27: "The theory of method, in so far as it goes beyond the purely logical analysis of the relations between scientific statements, is concerned with the choice of methods—with decisions about the way in which scientific statements are to be dealt with."</span> </li> <li id="cite_note-zaharonmaindivergence-129"><span class="mw-cite-backlink"><b><a href="#cite_ref-zaharonmaindivergence_129-0">^</a></b></span> <span class="reference-text"> Zahar wrote a brief summary of Lakatos's position regarding Popper's philosophy. He says (see <a href="#CITEREFZahar1983">Zahar 1983</a>, p. 149): "The important question of the possibility of a genuine logic of [scientific] discovery" is the main divergence between Lakatos and Popper. About Popper's view, Zahar wrote (see <a href="#CITEREFZahar1983">Zahar 1983</a>, p. 169): "To repeat: Popper offers a Darwinian account of the progress of knowledge. Progress is supposed to result negatively from the elimination by natural selection of defective alternatives. ... There is no genuine logic of discovery, only a psychology of invention juxtaposed to a methodology which appraises fully fledged theories."</span> </li> <li id="cite_note-naivefalsificationism-130"><span class="mw-cite-backlink"><b><a href="#cite_ref-naivefalsificationism_130-0">^</a></b></span> <span class="reference-text"> In Lakatos terminology, the term "falsified" has a different meaning for a naive falsificationist than for a sophisticated falsificationist. Putting aside this confusing terminological aspect, the key point is that Lakatos wanted a formal logical procedure to determine which theories we must keep (see <a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 32): "For the naive falsificationist a theory is falsified by a ('fortified') 'observational' statement which conflicts with it (or which he decides to interpret as conflicting with it). For the sophisticated falsificationist a scientific theory T is falsified if and only if another theory T' has been proposed with the following characteristics: ( 1 ) T' has excess empirical content over T: that is, it predicts novel facts, that is, facts improbable in the light of, or even forbidden, by (2) T' explains the previous success of T, that is, all the unrefuted content of T is included (within the limits of observational error) in the content of T'; and (3) some of the excess content of T' is corroborated."</span> </li> <li id="cite_note-kuhncritic-131"><span class="mw-cite-backlink"><b><a href="#cite_ref-kuhncritic_131-0">^</a></b></span> <span class="reference-text"> In his critique of Popper (see <a href="#CITEREFKuhn1970">Kuhn 1970</a>, p. 15), Kuhn says that the methodological rules are not sufficient to provide a logic of discovery: "rules or conventions like the following: 'Once a hypothesis has been proposed and tested, and has proved its mettle, it may not be allowed to drop out without 'good reason'. A 'good reason' may be, for instance: replacement of the hypothesis by another which is better testable; or the falsification of one of the consequences of the hypothesis.' <br /> Rules like these, and with them the entire logical enterprise described above, are no longer simply syntactic in their import. They require that both the epistemological investigator and the research scientist be able to relate sentences derived from a theory not to other sentences but to actual observations and experiments. This is the context in which Sir Karl's term 'falsification' must function, and Sir Karl is entirely silent about how it can do so."</span> </li> <li id="cite_note-arulethatusescorroborations-132"><span class="mw-cite-backlink"><b><a href="#cite_ref-arulethatusescorroborations_132-0">^</a></b></span> <span class="reference-text"> Popper gives an example of a methodological rule that uses corroborations (see <a href="#CITEREFPopper1959">Popper 1959</a>, p. 32): "Once a hypothesis has been proposed and tested, and has proved its mettle, it may not be allowed to drop out without 'good reason'. A 'good reason' may be, for instance: replacement of the hypothesis by another which is better testable; or the falsification of one of the consequences of the hypothesis."</span> </li> <li id="cite_note-splitlogicmethod-133"><span class="mw-cite-backlink"><b><a href="#cite_ref-splitlogicmethod_133-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1959">Popper 1959</a>, section 23, 1st paragraph: "The requirement of falsifiability which was a little vague to start with has now been split into two parts. The first, the methodological postulate (cf. section 20), can hardly be made quite precise. The second, the logical criterion, is quite definite as soon as it is clear which statements are to be called 'basic'."</span> </li> <li id="cite_note-verisimilitudenotsoanissue-134"><span class="mw-cite-backlink"><b><a href="#cite_ref-verisimilitudenotsoanissue_134-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1983">Popper 1983</a>, Introduction, V: "The hope further to strengthen this theory of the aims of science by the definition of verisimilitude in terms of truth and of content was, unfortunately, vain. But the widely held view that scrapping this definition weakens my theory is completely baseless."</span> </li> <li id="cite_note-Humegravitationalmind-137"><span class="mw-cite-backlink"><b><a href="#cite_ref-Humegravitationalmind_137-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMorrisBrown2021">Morris & Brown 2021</a>, Sec. 3: Hume explicitly models his account of the fundamental principles of the mind's operations—the principles of association—on the idea of gravitational attraction.</span> </li> <li id="cite_note-Russellinductiveprinciples-141"><span class="mw-cite-backlink"><b><a href="#cite_ref-Russellinductiveprinciples_141-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRussell1948">Russell 1948</a>, Part VI, Sec. II: "We have therefore to seek for principles, other than induction, such that, given certain data not of the form “this A is a B”, the generalization “'all A is B”' has a finite probability. Given such principles, and given a generalization to which they apply, induction can make the generalization increasingly probable, with a probability which approaches certainty as a limit when the number of favourable instances in indefinitely increased."</span> </li> <li id="cite_note-zaharonlakatosurgedpoppertouseinduction-142"><span class="mw-cite-backlink">^ <a href="#cite_ref-zaharonlakatosurgedpoppertouseinduction_142-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-zaharonlakatosurgedpoppertouseinduction_142-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-zaharonlakatosurgedpoppertouseinduction_142-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFZahar1983">Zahar 1983</a>, p. 167: "Lakatos urged Popper explicitly to adopt some inductive principle which would synthetically link verisimilitude to corroboration."</span> </li> <li id="cite_note-LakatosrationalinPopperviewvsKuhn-143"><span class="mw-cite-backlink"><b><a href="#cite_ref-LakatosrationalinPopperviewvsKuhn_143-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, Sec. 1.1: I shall try to explain—and further strengthen—this stronger Popperian position which, I think, may escape Kuhn's strictures and present scientific revolutions not as constituting religious conversions but rather as rational progress.</span> </li> <li id="cite_note-LakatosrationalinPopperview-144"><span class="mw-cite-backlink"><b><a href="#cite_ref-LakatosrationalinPopperview_144-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, Sec. 1.2.b: The other alternative is to ... replace the naive versions of methodological falsificationism ... by a sophisticated version which would give a new rationale of falsification and thereby rescue methodology and the idea of scientific progress.</span> </li> <li id="cite_note-LakatosRetractOnInductivism-145"><span class="mw-cite-backlink">^ <a href="#cite_ref-LakatosRetractOnInductivism_145-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-LakatosRetractOnInductivism_145-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFLakatos1978">Lakatos 1978</a>, pp. 116–117: "The methodology of research programmes was criticized both by Feyerabend and by Kuhn. According to Kuhn: '[Lakatos] must specify criteria which can be used at the time to distinguish a degenerative from a progressive research programme; and so on. Otherwise, <i>he has told us nothing at all</i>.' Actually, I do specify such criteria. But Kuhn probably meant that '[my] standards have practical force only if they are combined with a time limit (what looks like a degenerating problem shift may be the beginning of a much longer period of advance)'. Since I specify no such time limit, Feyerabend concludes that my standards are no more than 'verbal ornament'. A related point was made by Musgrave in a letter containing some major constructive criticisms of an earlier draft, in which he demanded that I specify, for instance, at what point dogmatic adherence to a programme ought to be explained 'externally' rather than 'internally'. Let me try to explain why such objections are beside the point. One may rationally stick to a degenerating programme until it is overtaken by a rival and even after. What one must not do is to deny its poor public record. Both Feyerabend and Kuhn conflate methodological appraisal of a programme with firm heuristic advice about what to do. It is perfectly rational to play a risky game: what is irrational is to deceive oneself about the risk. This does not mean as much licence as might appear for those who stick to a degenerating programme. For they can do this mostly only in private."</span> </li> <li id="cite_note-Lakatosanarchist-146"><span class="mw-cite-backlink">^ <a href="#cite_ref-Lakatosanarchist_146-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Lakatosanarchist_146-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFWatkins1989">Watkins 1989</a>, p. 6: "Although Paul Feyerabend and Alan Musgrave evaluated [Lakatos's view] in opposite ways, they agreed about its nature. Feyerabend hailed it as an 'anarchism in disguise' (Feyerabend, Against Method, 1975), while Musgrave rather deplored the fact that Lakatos had 'gone a long way towards epistemological anarchism' (<a href="#CITEREFMusgrave1976">Musgrave 1976</a>, p. 458). Musgrave added: 'Lakatos deprived his standards of practical force, and adopted a position of "anything goes"' (<a href="#CITEREFMusgrave1976">Musgrave 1976</a>, p. 478)."</span> </li> <li id="cite_note-MusgraveLakatosanarchist-147"><span class="mw-cite-backlink">^ <a href="#cite_ref-MusgraveLakatosanarchist_147-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-MusgraveLakatosanarchist_147-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFMusgrave1976">Musgrave 1976</a>, p. 458: "My third criticism concerns the question of whether Lakatos's methodology is in fact a methodology in the old-fashioned sense: whether, that is, it issues in advice to scientists. I shall argue that Lakatos once had sound views on this matter, but was led, mistakenly in my opinion, to renounce them. In renouncing them, he has gone a long way towards epistemological anarchism."</span> </li> <li id="cite_note-FeyerabendOnLakatosUseJudgement-148"><span class="mw-cite-backlink">^ <a href="#cite_ref-FeyerabendOnLakatosUseJudgement_148-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FeyerabendOnLakatosUseJudgement_148-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFFeyerabend1978">Feyerabend 1978</a>, p. 15: "Lakatos realized and admitted that the existing standards of rationality, standards of logic included, are too restrictive and would have hindered science had they been applied with determination. He therefore permitted the scientist to violate them ... However, he demanded that research programmes show certain features in the long run — they must be progressive. In Chapter 16 of [Against Method] (and in my essay 'On the Critique of Scientific Reason': <a href="#CITEREFFeyerabend1978b">Feyerabend 1978b</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=lGMyBwAAQBAJ&pg=PA120">120</a>) I have argued that this demand no longer restricts scientific practice. Any development agrees with it. The demand (standard) is rational, but it is also empty. Rationalism and the demands of reason have become purely verbal in the theory of Lakatos." See also <a href="#CITEREFFeyerabend1981">Feyerabend 1981</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=ng-l_t5rmNsC&pg=PA148">148</a>. </span> </li> <li id="cite_note-lakatosmethodologybasedonjudgment-149"><span class="mw-cite-backlink">^ <a href="#cite_ref-lakatosmethodologybasedonjudgment_149-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-lakatosmethodologybasedonjudgment_149-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <a href="#CITEREFCouvalis1997">Couvalis 1997</a>, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=aiznXyM2dc8C&pg=PA74">74-75</a>: "There is a sense in which Feyerabend is right. Lakatos fails to give precise mechanical rules for when a theory has been finally falsified. Yet an appropriate question might be whether such rules are possible or necessary to make science rational. ... There are, however, many rough and ready rules, the application of which has to be learned in practical contexts. ... This does not mean that precise rules cannot be used in certain contexts, but we need to use our judgement to decide when those rules are to be used."</span> </li> <li id="cite_note-LakatosAnnouncesInductiveRules-158"><span class="mw-cite-backlink"><b><a href="#cite_ref-LakatosAnnouncesInductiveRules_158-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 112: "It should be pointed out, however, that the methodology of scientific research programmes has more teeth than Duhem's conventionalism: instead of leaving it to Duhem's unarticulated common sense to judge when a 'framework' is to be abandoned, I inject some hard Popperian elements into the appraisal of whether a programme progresses or degenerates or of whether one is overtaking another. That is, I give criteria of progress and stagnation within a programme and also rules for the 'elimination' of whole research programmes."</span> </li> <li id="cite_note-zaharoncreativedecisions-159"><span class="mw-cite-backlink"><b><a href="#cite_ref-zaharoncreativedecisions_159-0">^</a></b></span> <span class="reference-text"> Zahar (<a href="#CITEREFZahar1983">Zahar 1983</a>, p. 168) recognizes that formal rules in a methodology cannot be rational. Yet, at the level of the technology, that is, at the practical level, he says, scientists must nevertheless take decisions. Popper's methodology does not specify formal rules, but non-rational decisions will still have to be taken. He concludes that "Popper and Lakatos differ only over the levels at which they locate non-rationality in science: Lakatos at the level of an inductive principle which justifies technology, and Popper at the lower-level of technology itself."</span> </li> <li id="cite_note-160"><span class="mw-cite-backlink"><b><a href="#cite_ref-160">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, Sec. Elimination of Psychologism</span> </li> <li id="cite_note-einsteinnologicalpath-161"><span class="mw-cite-backlink"><b><a href="#cite_ref-einsteinnologicalpath_161-0">^</a></b></span> <span class="reference-text"> Einstein wrote (see <a href="#CITEREFYehuda2018">Yehuda 2018</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=rsY9DwAAQBAJ&pg=PA41">41</a>): "The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them."</span> </li> <li id="cite_note-einsteinoncreativityandmathematics-162"><span class="mw-cite-backlink"><b><a href="#cite_ref-einsteinoncreativityandmathematics_162-0">^</a></b></span> <span class="reference-text"> Einstein wrote (see <a href="#CITEREFFeldmanWilliams2007">Feldman & Williams 2007</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=RaK1SU2KzwAC&pg=PA151">151</a> and <a rel="nofollow" class="external autonumber" href="https://plato.stanford.edu/entries/einstein-philscience/">[1]</a>): "I am convinced that we can discover by means of purely mathematical constructions the concepts and laws connecting them with each other, which furnish the key to the understanding of natural phenomena. ... Experience remains, of course, the sole criterion of the physical utility of a mathematical construction. But the creative principle resides in mathematics. In a certain sense, therefore, I hold it true that pure thought can grasp reality, as the ancients dreamed." </span> </li> <li id="cite_note-kuhnonpoppersviewonrevolution-167"><span class="mw-cite-backlink"><b><a href="#cite_ref-kuhnonpoppersviewonrevolution_167-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFKuhn1974">Kuhn 1974</a>, p. 802: "I suggest then that Sir Karl has characterized the entire scientific enterprise in terms that apply only to its occasional revolutionary parts. His emphasis is natural and common: the exploits of a Copernicus or Einstein make better reading than those of a Brahe or Lorentz; Sir Karl would not be the first if he mistook what I call normal science for an intrinsically uninteresting enterprise. Nevertheless, neither science nor the development of knowledge is likely to be understood if research is viewed exclusively through the revolutions it occasionally produces."</span> </li> <li id="cite_note-watkinsonPopperVsKuhn-168"><span class="mw-cite-backlink"><b><a href="#cite_ref-watkinsonPopperVsKuhn_168-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFWatkins1970">Watkins 1970</a>, p. 28: "Thus we have the following clash: the condition which Kuhn regards as the normal and proper condition of science is a condition which, if it actually obtained, Popper would regard as unscientific, a state of affairs in which critical science had contracted into defensive metaphysics. Popper has suggested that the motto of science should be: Revolution in permanence! For Kuhn, it seems, a more appropriate maxim would be: Not nostrums but normalcy!"</span> </li> <li id="cite_note-knowledgebeginswithproblems-169"><span class="mw-cite-backlink"><b><a href="#cite_ref-knowledgebeginswithproblems_169-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1994">Popper 1994</a>, pp. 155–156: "It is my view that the methods of the natural as well as the social sciences can be best understood if we admit that science always begins and ends with problems. The progress of science lies, essentially, in the evolution of its problems. And it can be gauged by the increasing refinement, wealth, fertility, and depth of its problems. ... The growth of knowledge always consists in correcting earlier knowledge. Historically, science begins with pre-scientific knowledge, with pre-scientific myths and pre-scientific expectations. And these, in turn, have no 'beginnings'."</span> </li> <li id="cite_note-astrologysouthsayerstrick-170"><span class="mw-cite-backlink"><b><a href="#cite_ref-astrologysouthsayerstrick_170-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFPopper1962">Popper 1962</a>, p. 37: "[B]y making their interpretations and prophecies sufficiently vague [astrologers] were able to explain away anything that might have been a refutation of the theory had the theory and the prophecies been more precise. In order to escape falsification they destroyed the testability of their theory. It is a typical soothsayer's trick to predict things so vaguely that the predictions can hardly fail: that they become irrefutable."</span> </li> <li id="cite_note-khunastrologynonapplicabilityoffalsifiability-171"><span class="mw-cite-backlink"><b><a href="#cite_ref-khunastrologynonapplicabilityoffalsifiability_171-0">^</a></b></span> <span class="reference-text"> <a href="#CITEREFKuhn1970">Kuhn 1970</a>, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Vutfm5n6LKYC&pg=PA7">7–8</a>: "Astrology is Sir Karl's most frequently cited example of a 'pseudo-science'. He [Popper] says: 'By making their interpretations and prophecies sufficiently vague they [astrologers] were able to explain away anything that might have been a refutation of the theory had the theory and the prophecies been more precise. In order to escape falsification they destroyed the testability of the theory.' Those generalizations catch something of the spirit of the astrological enterprise. But taken at all literally, as they must be if they are to provide a demarcation criterion, they are impossible to support. The history of astrology during the centuries when it was intellectually reputable records many predictions that categorically failed. Not even astrology's most convinced and vehement exponents doubted the recurrence of such failures. Astrology cannot be barred from the sciences because of the form in which its predictions were cast."</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Abbreviated_references">Abbreviated references</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=39" title="Edit section: Abbreviated references"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626" /><div class="reflist reflist-columns references-column-width" style="column-width: 20em;"> <ol class="references"> <li id="cite_note-FOOTNOTEMayo2018Sec._2.3-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMayo2018Sec._2.3_8-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMayo2018">Mayo 2018</a>, Sec. 2.3.</span> </li> <li id="cite_note-FOOTNOTEHarding1976X-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHarding1976X_9-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHarding1976">Harding 1976</a>, p. X.</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFHansson" class="citation web cs1">Hansson, Sven Ove. Zalta, Edward N. (ed.). <a rel="nofollow" class="external text" href="https://plato.stanford.edu/entries/pseudo-science/">"Science and Pseudo-Science"</a>. <i>The Stanford Encyclopedia of Philosophy (Fall 2021 Edition)</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+Stanford+Encyclopedia+of+Philosophy+%28Fall+2021+Edition%29&rft.atitle=Science+and+Pseudo-Science&rft.aulast=Hansson&rft.aufirst=Sven+Ove&rft_id=https%3A%2F%2Fplato.stanford.edu%2Fentries%2Fpseudo-science%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></span> </li> <li id="cite_note-FOOTNOTEGrayling2019397-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGrayling2019397_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGrayling2019397_13-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGrayling2019">Grayling 2019</a>, p. 397.</span> </li> <li id="cite_note-FOOTNOTEPopper1972-16"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPopper1972_16-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPopper1972_16-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>.</span> </li> <li id="cite_note-FOOTNOTEMiller19941-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMiller19941_17-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMiller1994">Miller 1994</a>, p. 1.</span> </li> <li id="cite_note-FOOTNOTEUebel2019-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEUebel2019_18-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFUebel2019">Uebel 2019</a>.</span> </li> <li id="cite_note-FOOTNOTECreath2017-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECreath2017_19-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCreath2017">Creath 2017</a>.</span> </li> <li id="cite_note-FOOTNOTEMacLennan2021Chap._8.1-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMacLennan2021Chap._8.1_20-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMacLennan2021">MacLennan 2021</a>, Chap. 8.1.</span> </li> <li id="cite_note-FOOTNOTEThornton2007-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEThornton2007_25-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFThornton2007">Thornton 2007</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1959Sec._85-26"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPopper1959Sec._85_26-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPopper1959Sec._85_26-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, Sec. 85.</span> </li> <li id="cite_note-FOOTNOTEWatkins1984Sec._7.2-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWatkins1984Sec._7.2_27-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWatkins1984">Watkins 1984</a>, Sec. 7.2.</span> </li> <li id="cite_note-FOOTNOTEJohnson-Laird2006Chap._13-28"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJohnson-Laird2006Chap._13_28-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJohnson-Laird2006">Johnson-Laird 2006</a>, Chap. 13.</span> </li> <li id="cite_note-FOOTNOTEPopper1959Sec_2-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1959Sec_2_29-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, Sec 2.</span> </li> <li id="cite_note-FOOTNOTEPopper1972App._1.III-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1972App._1.III_32-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>, App. 1.III.</span> </li> <li id="cite_note-FOOTNOTEPopper1972App._1.II-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1972App._1.II_33-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>, App. 1.II.</span> </li> <li id="cite_note-FOOTNOTEPopper1972Sec._1.9-35"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPopper1972Sec._1.9_35-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPopper1972Sec._1.9_35-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>, Sec. 1.9.</span> </li> <li id="cite_note-FOOTNOTEPopper197230-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper197230_37-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1972">Popper 1972</a>, p. 30.</span> </li> <li id="cite_note-FOOTNOTEGelmanShalizi2013-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGelmanShalizi2013_38-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGelmanShalizi2013">Gelman & Shalizi 2013</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1983xxxv-39"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1983xxxv_39-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1983">Popper 1983</a>, p. xxxv.</span> </li> <li id="cite_note-FOOTNOTEChalmers201362-40"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEChalmers201362_40-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFChalmers2013">Chalmers 2013</a>, p. 62.</span> </li> <li id="cite_note-FOOTNOTEPopper1959Sec._68-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1959Sec._68_44-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, Sec. 68.</span> </li> <li id="cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksid0a5bLBbe_dMCpgPA32_32]-45"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksid0a5bLBbe_dMCpgPA32_32]_45-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=0a5bLBbe_dMC&pg=PA32">32</a>.</span> </li> <li id="cite_note-46"><span class="mw-cite-backlink"><b><a href="#cite_ref-46">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFVereGibson2019" class="citation journal cs1">Vere, Joseph; Gibson, Barry (2019). <a rel="nofollow" class="external text" href="https://onlinelibrary.wiley.com/doi/10.1111/jep.13090">"Evidence-based medicine as science"</a>. <i>Journal of Evaluation in Clinical Practice</i>. <b>25</b> (6): <span class="nowrap">997–</span>1002. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1111%2Fjep.13090">10.1111/jep.13090</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1356-1294">1356-1294</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/30575209">30575209</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Evaluation+in+Clinical+Practice&rft.atitle=Evidence-based+medicine+as+science&rft.volume=25&rft.issue=6&rft.pages=%3Cspan+class%3D%22nowrap%22%3E997-%3C%2Fspan%3E1002&rft.date=2019&rft.issn=1356-1294&rft_id=info%3Apmid%2F30575209&rft_id=info%3Adoi%2F10.1111%2Fjep.13090&rft.aulast=Vere&rft.aufirst=Joseph&rft.au=Gibson%2C+Barry&rft_id=https%3A%2F%2Fonlinelibrary.wiley.com%2Fdoi%2F10.1111%2Fjep.13090&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></span> </li> <li id="cite_note-FOOTNOTEShea2020[httpsieputmedupop-sciSH2c_Sec._2.c]-49"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEShea2020[httpsieputmedupop-sciSH2c_Sec._2.c]_49-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFShea2020">Shea 2020</a>, <a rel="nofollow" class="external text" href="https://iep.utm.edu/pop-sci/#SH2c">Sec. 2.c</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1959sec._13–15,_28-51"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1959sec._13–15,_28_51-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, sec. 13–15, 28.</span> </li> <li id="cite_note-FOOTNOTELakatos197822-53"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos197822_53-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 22.</span> </li> <li id="cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]-55"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]_55-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA64_64–65]_55-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=LWSBAgAAQBAJ&pg=PA64">64–65</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA65_p._65_Footnote_*1]-56"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1959[httpsbooksgooglecombooksidLWSBAgAAQBAJpgPA65_p._65_Footnote_*1]_56-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1959">Popper 1959</a>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=LWSBAgAAQBAJ&pg=PA65">p. 65 Footnote *1</a>.</span> </li> <li id="cite_note-FOOTNOTESimonGroen1973-57"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTESimonGroen1973_57-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFSimonGroen1973">Simon & Groen 1973</a>.</span> </li> <li id="cite_note-FOOTNOTESimon1985-58"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTESimon1985_58-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFSimon1985">Simon 1985</a>.</span> </li> <li id="cite_note-FOOTNOTERynasiewicz1983225–6-59"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERynasiewicz1983225–6_59-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERynasiewicz1983225–6_59-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRynasiewicz1983">Rynasiewicz 1983</a>, pp. 225–6.</span> </li> <li id="cite_note-FOOTNOTERynasiewicz1983Sec._2-61"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERynasiewicz1983Sec._2_61-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRynasiewicz1983">Rynasiewicz 1983</a>, Sec. 2.</span> </li> <li id="cite_note-Rynasiewicz-62"><span class="mw-cite-backlink"><b><a href="#cite_ref-Rynasiewicz_62-0">^</a></b></span> <span class="reference-text"> <span class="error mw-ext-cite-error" lang="en" dir="ltr">Cite error: The named reference <code>Rynasiewicz</code> was invoked but never defined (see the <a href="/wiki/Help:Cite_errors/Cite_error_references_no_text" title="Help:Cite errors/Cite error references no text">help page</a>).</span></span> </li> <li id="cite_note-FOOTNOTERudge2005-64"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERudge2005_64-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRudge2005">Rudge 2005</a>.</span> </li> <li id="cite_note-FOOTNOTETheobald2006-67"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTETheobald2006_67-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFTheobald2006">Theobald 2006</a>.</span> </li> <li id="cite_note-FOOTNOTEWallis2005-69"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWallis2005_69-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWallis2005">Wallis 2005</a>.</span> </li> <li id="cite_note-FOOTNOTEDawkins1995-70"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDawkins1995_70-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDawkins1995">Dawkins 1995</a>.</span> </li> <li id="cite_note-FOOTNOTEDawkins1986-71"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDawkins1986_71-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDawkins1986">Dawkins 1986</a>.</span> </li> <li id="cite_note-FOOTNOTEDienes200818–19-74"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDienes200818–19_74-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDienes2008">Dienes 2008</a>, pp. 18–19.</span> </li> <li id="cite_note-FOOTNOTEMaxwell1974294–295-75"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEMaxwell1974294–295_75-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMaxwell1974294–295_75-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFMaxwell1974">Maxwell 1974</a>, pp. 294–295.</span> </li> <li id="cite_note-FOOTNOTEKeuth200544–45-76"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKeuth200544–45_76-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKeuth200544–45_76-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKeuth2005">Keuth 2005</a>, pp. 44–45.</span> </li> <li id="cite_note-FOOTNOTELeitgebCarus2021Sec._8.1-78"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELeitgebCarus2021Sec._8.1_78-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLeitgebCarus2021">Leitgeb & Carus 2021</a>, Sec. 8.1.</span> </li> <li id="cite_note-FOOTNOTEMaxwell1974299-80"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEMaxwell1974299_80-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMaxwell1974299_80-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMaxwell1974299_80-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMaxwell1974299_80-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFMaxwell1974">Maxwell 1974</a>, p. 299.</span> </li> <li id="cite_note-FOOTNOTEPopper19741038-81"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPopper19741038_81-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPopper19741038_81-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPopper1974">Popper 1974</a>, p. 1038.</span> </li> <li id="cite_note-FOOTNOTEMaxwell1974295-82"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMaxwell1974295_82-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMaxwell1974">Maxwell 1974</a>, p. 295.</span> </li> <li id="cite_note-FOOTNOTEElginSober2017-89"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEElginSober2017_89-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFElginSober2017">Elgin & Sober 2017</a>.</span> </li> <li id="cite_note-FOOTNOTEEinstein2010-90"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEEinstein2010_90-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFEinstein2010">Einstein 2010</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1995[httpsarchiveorgdetailsinernetdli201577661pagen101mode1up_Chap._15]-91"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1995[httpsarchiveorgdetailsinernetdli201577661pagen101mode1up_Chap._15]_91-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1995">Popper 1995</a>, <a rel="nofollow" class="external text" href="https://archive.org/details/in.ernet.dli.2015.77661/page/n101/mode/1up">Chap. 15</a>.</span> </li> <li id="cite_note-FOOTNOTESmith200012-95"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTESmith200012_95-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTESmith200012_95-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFSmith2000">Smith 2000</a>, p. 12.</span> </li> <li id="cite_note-FOOTNOTEMcLean_v._Arkansas1982-96"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMcLean_v._Arkansas1982_96-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMcLean_v._Arkansas1982">McLean v. Arkansas 1982</a>.</span> </li> <li id="cite_note-FOOTNOTEDaubert1993-97"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDaubert1993_97-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDaubert1993">Daubert 1993</a>.</span> </li> <li id="cite_note-FOOTNOTEKrafka2002p._17_in_archived_pdf-99"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKrafka2002p._17_in_archived_pdf_99-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKrafka2002">Krafka 2002</a>, p. 17 in archived pdf.</span> </li> <li id="cite_note-FOOTNOTELakatos197825-103"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos197825_103-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 25.</span> </li> <li id="cite_note-FOOTNOTEWilkinson2013-104"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWilkinson2013_104-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWilkinson2013">Wilkinson 2013</a>.</span> </li> <li id="cite_note-FOOTNOTEChiasma2017-105"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEChiasma2017_105-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFChiasma2017">Chiasma 2017</a>.</span> </li> <li id="cite_note-FOOTNOTEWigmore2017-106"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWigmore2017_106-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWigmore2017">Wigmore 2017</a>.</span> </li> <li id="cite_note-FOOTNOTELehmann1993201-107"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELehmann1993201_107-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLehmann1993">Lehmann 1993</a>, p. 201.</span> </li> <li id="cite_note-FOOTNOTEMayo201882-109"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEMayo201882_109-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMayo201882_109-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFMayo2018">Mayo 2018</a>, p. 82.</span> </li> <li id="cite_note-FOOTNOTEHawthorne2018Sec._3.2-110"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHawthorne2018Sec._3.2_110-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHawthorne2018">Hawthorne 2018</a>, Sec. 3.2.</span> </li> <li id="cite_note-FOOTNOTEHawthorne2018Sec._2.1-111"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHawthorne2018Sec._2.1_111-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHawthorne2018">Hawthorne 2018</a>, Sec. 2.1.</span> </li> <li id="cite_note-FOOTNOTEHowson200088-112"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHowson200088_112-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHowson2000">Howson 2000</a>, p. 88.</span> </li> <li id="cite_note-FOOTNOTEGelmanShalizi201326–27-113"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGelmanShalizi201326–27_113-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGelmanShalizi2013">Gelman & Shalizi 2013</a>, pp. 26–27.</span> </li> <li id="cite_note-FOOTNOTEMayo201883-114"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMayo201883_114-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMayo2018">Mayo 2018</a>, p. 83.</span> </li> <li id="cite_note-FOOTNOTEMayo201886-115"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMayo201886_115-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMayo2018">Mayo 2018</a>, p. 86.</span> </li> <li id="cite_note-FOOTNOTELakatos197812–30-116"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos197812–30_116-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, pp. 12–30.</span> </li> <li id="cite_note-FOOTNOTEPera1989362-117"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPera1989362_117-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPera1989">Pera 1989</a>, p. 362.</span> </li> <li id="cite_note-FOOTNOTELakatos1974-118"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos1974_118-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1974">Lakatos 1974</a>.</span> </li> <li id="cite_note-FOOTNOTEPopper1974Note_70a-119"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1974Note_70a_119-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1974">Popper 1974</a>, Note 70a.</span> </li> <li id="cite_note-FOOTNOTEAndersson1994Chap_3-120"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEAndersson1994Chap_3_120-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFAndersson1994">Andersson 1994</a>, Chap 3.</span> </li> <li id="cite_note-FOOTNOTEUnderstanding_Science2021-122"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEUnderstanding_Science2021_122-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFUnderstanding_Science2021">Understanding Science 2021</a>.</span> </li> <li id="cite_note-FOOTNOTELakatos197896–97-124"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos197896–97_124-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, pp. 96–97.</span> </li> <li id="cite_note-FOOTNOTEFine2019-135"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFine2019_135-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFine2019">Fine 2019</a>.</span> </li> <li id="cite_note-FOOTNOTEMorrisBrown2021Sec._4-136"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMorrisBrown2021Sec._4_136-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMorrisBrown2021">Morris & Brown 2021</a>, Sec. 4.</span> </li> <li id="cite_note-FOOTNOTEHenderson2018-138"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEHenderson2018_138-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHenderson2018_138-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFHenderson2018">Henderson 2018</a>.</span> </li> <li id="cite_note-FOOTNOTERussell1998Chap._VI-139"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERussell1998Chap._VI_139-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRussell1998">Russell 1998</a>, Chap. VI.</span> </li> <li id="cite_note-FOOTNOTERussell1948Part_VI,_Sec._II-140"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERussell1948Part_VI,_Sec._II_140-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRussell1948">Russell 1948</a>, Part VI, Sec. II.</span> </li> <li id="cite_note-FOOTNOTEWatkins1984Sec_8.5-150"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWatkins1984Sec_8.5_150-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWatkins1984">Watkins 1984</a>, Sec 8.5.</span> </li> <li id="cite_note-FOOTNOTEChalmers201359-151"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEChalmers201359_151-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFChalmers2013">Chalmers 2013</a>, p. 59.</span> </li> <li id="cite_note-FOOTNOTEChalmers201360-152"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEChalmers201360_152-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFChalmers2013">Chalmers 2013</a>, p. 60.</span> </li> <li id="cite_note-FOOTNOTEThornton2016Sec_5-153"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEThornton2016Sec_5_153-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFThornton2016">Thornton 2016</a>, Sec 5.</span> </li> <li id="cite_note-FOOTNOTELakatos197836-154"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos197836_154-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1978">Lakatos 1978</a>, p. 36.</span> </li> <li id="cite_note-FOOTNOTEPopper1962Chap._1;_Sec_IX-155"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper1962Chap._1;_Sec_IX_155-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1962">Popper 1962</a>, Chap. 1; Sec IX.</span> </li> <li id="cite_note-FOOTNOTEMiller19947-156"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMiller19947_156-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMiller1994">Miller 1994</a>, p. 7.</span> </li> <li id="cite_note-FOOTNOTEGarcia200630-157"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGarcia200630_157-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGarcia2006">Garcia 2006</a>, p. 30.</span> </li> <li id="cite_note-FOOTNOTELakatos1974245-163"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELakatos1974245_163-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLakatos1974">Lakatos 1974</a>, p. 245.</span> </li> <li id="cite_note-FOOTNOTEPopper19741010-164"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPopper19741010_164-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPopper1974">Popper 1974</a>, p. 1010.</span> </li> <li id="cite_note-FOOTNOTEStove198292-165"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEStove198292_165-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFStove1982">Stove 1982</a>, p. 92.</span> </li> <li id="cite_note-FOOTNOTEKuhn1996-166"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKuhn1996_166-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKuhn1996">Kuhn 1996</a>.</span> </li> <li id="cite_note-FOOTNOTEMartin2017-172"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMartin2017_172-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMartin2017">Martin 2017</a>.</span> </li> <li id="cite_note-FOOTNOTEFeyerabend1993-173"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFeyerabend1993_173-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFeyerabend1993">Feyerabend 1993</a>.</span> </li> <li id="cite_note-FOOTNOTEBroad1979-174"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBroad1979_174-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBroad1979">Broad 1979</a>.</span> </li> <li id="cite_note-FOOTNOTESokalBricmont1998-175"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTESokalBricmont1998_175-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFSokalBricmont1998">Sokal & Bricmont 1998</a>.</span> </li> <li id="cite_note-FOOTNOTEMiller2000-176"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMiller2000_176-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMiller2000">Miller 2000</a>.</span> </li> <li id="cite_note-FOOTNOTEGreenland1998545-177"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGreenland1998545_177-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGreenland1998">Greenland 1998</a>, p. 545.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=40" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239549316">.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}@media screen{.mw-parser-output .refbegin{font-size:90%}}</style><div class="refbegin refbegin-columns references-column-width" style="column-width: 30em"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAndersson1994" class="citation book cs1">Andersson, Gunnar (1994). <i>Criticism and the History of Science: Kuhn's, Lakatos's and Feyerabend's Criticisms of Critical Rationalism</i>. Leiden: New York : Kòln: E.J. Brill.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Criticism+and+the+History+of+Science%3A+Kuhn%27s%2C+Lakatos%27s+and+Feyerabend%27s+Criticisms+of+Critical+Rationalism&rft.place=Leiden%3A+New+York+%3A+K%C3%B2ln&rft.pub=E.J.+Brill&rft.date=1994&rft.aulast=Andersson&rft.aufirst=Gunnar&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAndersson2016" class="citation book cs1">Andersson, Gunnar (2016). "The Problem of the Empirical Basis in Critical Rationalism". In Shearmur, Jeremy; Stokes, Geoffrey (eds.). <i>The Cambridge Companion to Popper</i>. Cambridge Companions to Philosophy. Cambridge, UK; New York: Cambridge University Press. pp. <span class="nowrap">125–</span>142. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1017%2Fcco9781139046503.005">10.1017/cco9781139046503.005</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-139-04650-3" title="Special:BookSources/978-1-139-04650-3"><bdi>978-1-139-04650-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/925355415">925355415</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Problem+of+the+Empirical+Basis+in+Critical+Rationalism&rft.btitle=The+Cambridge+Companion+to+Popper&rft.place=Cambridge%2C+UK%3B+New+York&rft.series=Cambridge+Companions+to+Philosophy&rft.pages=%3Cspan+class%3D%22nowrap%22%3E125-%3C%2Fspan%3E142&rft.pub=Cambridge+University+Press&rft.date=2016&rft_id=info%3Aoclcnum%2F925355415&rft_id=info%3Adoi%2F10.1017%2Fcco9781139046503.005&rft.isbn=978-1-139-04650-3&rft.aulast=Andersson&rft.aufirst=Gunnar&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFUnderstanding_Science2021" class="citation web cs1"><a rel="nofollow" class="external text" href="https://undsci.berkeley.edu/article/bundle">"Bundle up your hypotheses"</a>. <i>Understanding Science: how science really works</i>. Berkeley, University of California. 18 April 2022.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Understanding+Science%3A+how+science+really+works&rft.atitle=Bundle+up+your+hypotheses&rft.date=2022-04-18&rft_id=https%3A%2F%2Fundsci.berkeley.edu%2Farticle%2Fbundle&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBroad1979" class="citation journal cs1">Broad, W. J. (2 November 1979). "Paul Feyerabend: Science and the Anarchist". <i><a href="/wiki/Science_(journal)" title="Science (journal)">Science</a></i>. <b>206</b> (4418): <span class="nowrap">534–</span>537. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1979Sci...206..534B">1979Sci...206..534B</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1126%2Fscience.386510">10.1126/science.386510</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0036-8075">0036-8075</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/386510">386510</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Science&rft.atitle=Paul+Feyerabend%3A+Science+and+the+Anarchist&rft.volume=206&rft.issue=4418&rft.pages=%3Cspan+class%3D%22nowrap%22%3E534-%3C%2Fspan%3E537&rft.date=1979-11-02&rft_id=info%3Adoi%2F10.1126%2Fscience.386510&rft.issn=0036-8075&rft_id=info%3Apmid%2F386510&rft_id=info%3Abibcode%2F1979Sci...206..534B&rft.aulast=Broad&rft.aufirst=W.+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFChalmers2013" class="citation book cs1"><a href="/wiki/Alan_Chalmers" title="Alan Chalmers">Chalmers, Alan F.</a> (2013). <i>What Is This Thing Called Science?</i> (4th ed.). Indianapolis: Hackett Publishing Company. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-62466-038-2" title="Special:BookSources/978-1-62466-038-2"><bdi>978-1-62466-038-2</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/847985678">847985678</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=What+Is+This+Thing+Called+Science%3F&rft.place=Indianapolis&rft.edition=4th&rft.pub=Hackett+Publishing+Company&rft.date=2013&rft_id=info%3Aoclcnum%2F847985678&rft.isbn=978-1-62466-038-2&rft.aulast=Chalmers&rft.aufirst=Alan+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFChiasma2017" class="citation web cs1">Chiasma (2017). <a rel="nofollow" class="external text" href="https://medium.com/@Chiasma/on-falsifiability-and-the-null-hypothesis-in-discussions-and-debates-12ae1bbf9400">"On falsifiability and the null hypothesis in discussions and debates"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=On+falsifiability+and+the+null+hypothesis+in+discussions+and+debates&rft.date=2017&rft.au=Chiasma&rft_id=https%3A%2F%2Fmedium.com%2F%40Chiasma%2Fon-falsifiability-and-the-null-hypothesis-in-discussions-and-debates-12ae1bbf9400&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFCreath2017" class="citation encyclopaedia cs1">Creath, Richard (2017) [First published 2011]. <a rel="nofollow" class="external text" href="https://plato.stanford.edu/archives/fall2017/entries/logical-empiricism">"Logical Empiricism"</a>. 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Retrieved <span class="nowrap">3 May</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Positivism&rft.btitle=Encyclop%C3%A6dia+Britannica&rft.date=1978&rft.aulast=Feigl&rft.aufirst=Herbert&rft_id=https%3A%2F%2Fwww.britannica.com%2Ftopic%2Fpositivism&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFFeyerabend1978" class="citation book cs1">Feyerabend, Paul (1978). <i><a href="/wiki/Science_in_a_Free_Society" title="Science in a Free Society">Science in a Free Society</a></i>. London: NLB. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-86091-008-3" title="Special:BookSources/0-86091-008-3"><bdi>0-86091-008-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Science+in+a+Free+Society&rft.place=London&rft.pub=NLB&rft.date=1978&rft.isbn=0-86091-008-3&rft.aulast=Feyerabend&rft.aufirst=Paul&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFFeyerabend1978b" class="citation book cs1">Feyerabend, Paul (1978b). "On the Critique of Scientific Reason". In Wartofsky, M.W.; Feyerabend, P.K.; Cohen, R.S. (eds.). <i>Essays in Memory of Imre Lakatos</i>. Boston Studies in the Philosophy and History of Science. 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Cambridge University Press, 1985. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-31641-5" title="Special:BookSources/978-0-521-31641-5"><bdi>978-0-521-31641-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Problems+of+Empiricism%3A+Volume+2%3A+Philosophical+Papers&rft.pub=Cambridge+University+Press%2C+1985&rft.date=1981&rft.isbn=978-0-521-31641-5&rft.aulast=Feyerabend&rft.aufirst=Paul&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFFeyerabend1993" class="citation book cs1">Feyerabend, Paul (1993) [First published 1975]. <i>Against Method: Outline of an Anarchistic Theory of Knowledge</i> (3rd ed.). 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London; New York: Continuum. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-8264-9026-3" title="Special:BookSources/0-8264-9026-3"><bdi>0-8264-9026-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/62742611">62742611</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Popper%27s+Theory+of+Science%3A+An+Apologia&rft.place=London%3B+New+York&rft.series=Continuum+Studies+in+Philosophy&rft.pub=Continuum&rft.date=2006&rft_id=info%3Aoclcnum%2F62742611&rft.isbn=0-8264-9026-3&rft.aulast=Garcia&rft.aufirst=Carlos+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFGelmanShalizi2013" class="citation journal cs1">Gelman, Andrew; Shalizi, Cosma Rohilla (2013). <a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4476974">"Philosophy and the practice of Bayesian statistics"</a>. <i>British Journal of Mathematical and Statistical Psychology</i>. <b>66</b> (1): <span class="nowrap">8–</span>38. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1006.3868">1006.3868</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1111%2Fj.2044-8317.2011.02037.x">10.1111/j.2044-8317.2011.02037.x</a>. <a href="/wiki/PMC_(identifier)" class="mw-redirect" title="PMC (identifier)">PMC</a> <span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4476974">4476974</a></span>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/22364575">22364575</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=British+Journal+of+Mathematical+and+Statistical+Psychology&rft.atitle=Philosophy+and+the+practice+of+Bayesian+statistics&rft.volume=66&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E8-%3C%2Fspan%3E38&rft.date=2013&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC4476974%23id-name%3DPMC&rft_id=info%3Apmid%2F22364575&rft_id=info%3Aarxiv%2F1006.3868&rft_id=info%3Adoi%2F10.1111%2Fj.2044-8317.2011.02037.x&rft.aulast=Gelman&rft.aufirst=Andrew&rft.au=Shalizi%2C+Cosma+Rohilla&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC4476974&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFGrayling2019" class="citation book cs1">Grayling, A.C. 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United Kingdom: Cambridge University Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Statistical+Inference+as+Severe+Testing%3A+How+to+Get+Beyond+the+Statistics+Wars&rft.place=United+Kingdom&rft.pub=Cambridge+University+Press&rft.date=2018&rft.aulast=Mayo&rft.aufirst=Deborah+G.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1041539562" /><cite class="citation wikicite" id="CITEREFMcLean_v._Arkansas1982"><cite><i><a href="/wiki/McLean_v._Arkansas_Board_of_Education" class="mw-redirect" title="McLean v. Arkansas Board of Education">McLean v. 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Chicago: Open Court. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8126-9197-9" title="Special:BookSources/978-0-8126-9197-9"><bdi>978-0-8126-9197-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/30353251">30353251</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Critical+Rationalism%3A+A+Restatement+and+Defence&rft.place=Chicago&rft.pub=Open+Court&rft.date=1994&rft_id=info%3Aoclcnum%2F30353251&rft.isbn=978-0-8126-9197-9&rft.aulast=Miller&rft.aufirst=David&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMiller2000" class="citation journal cs1"><a href="/wiki/David_Miller_(philosopher)" title="David Miller (philosopher)">Miller, David</a> (2000). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070928003401/http://www2.warwick.ac.uk/fac/soc/philosophy/staff/miller/miller_pli_9.pdf">"Sokal and Bricmont: Back to the Frying Pan"</a> <span class="cs1-format">(PDF)</span>. <i>Pli</i>. <b>9</b>: <span class="nowrap">156–</span>73. Archived from <a rel="nofollow" class="external text" href="http://www2.warwick.ac.uk/fac/soc/philosophy/staff/miller/miller_pli_9.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 28 September 2007.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Pli&rft.atitle=Sokal+and+Bricmont%3A+Back+to+the+Frying+Pan&rft.volume=9&rft.pages=%3Cspan+class%3D%22nowrap%22%3E156-%3C%2Fspan%3E73&rft.date=2000&rft.aulast=Miller&rft.aufirst=David&rft_id=http%3A%2F%2Fwww2.warwick.ac.uk%2Ffac%2Fsoc%2Fphilosophy%2Fstaff%2Fmiller%2Fmiller_pli_9.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMorrisBrown2021" class="citation encyclopaedia cs1">Morris, William Edward; Brown, Charlotte R. (2021). <a rel="nofollow" class="external text" href="https://plato.stanford.edu/archives/spr2021/entries/hume/">"David Hume"</a>. <i>The Stanford Encyclopedia of Philosophy</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=David+Hume&rft.btitle=The+Stanford+Encyclopedia+of+Philosophy&rft.date=2021&rft.aulast=Morris&rft.aufirst=William+Edward&rft.au=Brown%2C+Charlotte+R.&rft_id=https%3A%2F%2Fplato.stanford.edu%2Farchives%2Fspr2021%2Fentries%2Fhume%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMuehlenbein2010" class="citation book cs1">Muehlenbein, M.P. (2010). <i>Human Evolutionary Biology</i>. Cambridge University Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Human+Evolutionary+Biology&rft.pub=Cambridge+University+Press&rft.date=2010&rft.aulast=Muehlenbein&rft.aufirst=M.P.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMusgrave1976" class="citation book cs1">Musgrave, Alan (1976). "Method or Madness?: Can the Methodology of Research Programmes Be Rescued From Epistemological Anarchism?". In Cohen, R.S.; Feyerabend, P.K.; Wartofsky, M. W. (eds.). <i>Essays in Memory of Imre Lakatos</i>. Dordrecht: D. Reidel. pp. <span class="nowrap">457–</span>491.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Method+or+Madness%3F%3A+Can+the+Methodology+of+Research+Programmes+Be+Rescued+From+Epistemological+Anarchism%3F&rft.btitle=Essays+in+Memory+of+Imre+Lakatos&rft.place=Dordrecht&rft.pages=%3Cspan+class%3D%22nowrap%22%3E457-%3C%2Fspan%3E491&rft.pub=D.+Reidel&rft.date=1976&rft.aulast=Musgrave&rft.aufirst=Alan&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFNolaSankey2014" class="citation book cs1">Nola, Robert; Sankey, Howard (2014). <i>Theories of Scientific Method: an Introduction</i>. Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-317-49348-8" title="Special:BookSources/978-1-317-49348-8"><bdi>978-1-317-49348-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Theories+of+Scientific+Method%3A+an+Introduction&rft.pub=Routledge&rft.date=2014&rft.isbn=978-1-317-49348-8&rft.aulast=Nola&rft.aufirst=Robert&rft.au=Sankey%2C+Howard&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPennock2000" class="citation book cs1">Pennock, Robert T. (2000). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/towerofbabelevid00penn"><i>Tower of Babel: The Evidence Against the New Creationism</i></a></span>. A Bradford Book. MIT Press. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.7551%2Fmitpress%2F6870.001.0001">10.7551/mitpress/6870.001.0001</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-262-66165-2" title="Special:BookSources/978-0-262-66165-2"><bdi>978-0-262-66165-2</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/39262003">39262003</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Tower+of+Babel%3A+The+Evidence+Against+the+New+Creationism&rft.series=A+Bradford+Book&rft.pub=MIT+Press&rft.date=2000&rft_id=info%3Aoclcnum%2F39262003&rft_id=info%3Adoi%2F10.7551%2Fmitpress%2F6870.001.0001&rft.isbn=978-0-262-66165-2&rft.aulast=Pennock&rft.aufirst=Robert+T.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Ftowerofbabelevid00penn&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPera1989" class="citation book cs1">Pera, Marcello (1989). "Methodological Sophisticationism: A Degenerating Project". In Gavroglou, Kōstas; Goudaroulis, Yorgos; Nicolacopoulos, Pantelis (eds.). <i>Imre Lakatos and Theories of Scientific Change</i>. Boston Studies in the Philosophy of Science. Vol. 111. Dordrecht; Boston: Kluwer Academic Publishers. pp. <span class="nowrap">169–</span>187. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-94-009-3025-4">10.1007/978-94-009-3025-4</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/90-277-2766-X" title="Special:BookSources/90-277-2766-X"><bdi>90-277-2766-X</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/17982125">17982125</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Methodological+Sophisticationism%3A+A+Degenerating+Project&rft.btitle=Imre+Lakatos+and+Theories+of+Scientific+Change&rft.place=Dordrecht%3B+Boston&rft.series=Boston+Studies+in+the+Philosophy+of+Science&rft.pages=%3Cspan+class%3D%22nowrap%22%3E169-%3C%2Fspan%3E187&rft.pub=Kluwer+Academic+Publishers&rft.date=1989&rft_id=info%3Aoclcnum%2F17982125&rft_id=info%3Adoi%2F10.1007%2F978-94-009-3025-4&rft.isbn=90-277-2766-X&rft.aulast=Pera&rft.aufirst=Marcello&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1959" class="citation book cs1">Popper, Karl (1959). <i><a href="/wiki/The_Logic_of_Scientific_Discovery" title="The Logic of Scientific Discovery">The Logic of Scientific Discovery</a></i> (2002 pbk; 2005 ebook ed.). Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-415-27844-7" title="Special:BookSources/978-0-415-27844-7"><bdi>978-0-415-27844-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Logic+of+Scientific+Discovery&rft.edition=2002+pbk%3B+2005+ebook&rft.pub=Routledge&rft.date=1959&rft.isbn=978-0-415-27844-7&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1962" class="citation book cs1">Popper, Karl (1962). <i>Conjectures and Refutations: The Growth of Scientific Knowledge</i> (2002 ed.). London: Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-415-28594-0" title="Special:BookSources/978-0-415-28594-0"><bdi>978-0-415-28594-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Conjectures+and+Refutations%3A+The+Growth+of+Scientific+Knowledge&rft.place=London&rft.edition=2002&rft.pub=Routledge&rft.date=1962&rft.isbn=978-0-415-28594-0&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span> excerpt: <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180502201044/http://www.stephenjaygould.org/ctrl/popper_falsification.html">Science as Falsification</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1972" class="citation book cs1">Popper, Karl (1972). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/objectiveknowled00popp"><i>Objective Knowledge: An Evolutionary Approach</i></a></span> (2003 ed.). New York: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-875024-6" title="Special:BookSources/978-0-19-875024-6"><bdi>978-0-19-875024-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Objective+Knowledge%3A+An+Evolutionary+Approach&rft.place=New+York&rft.edition=2003&rft.pub=Oxford+University+Press&rft.date=1972&rft.isbn=978-0-19-875024-6&rft.aulast=Popper&rft.aufirst=Karl&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fobjectiveknowled00popp&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1974" class="citation book cs1">Popper, Karl (1974). "Replies to my Critics". In Schilpp, Paul Arthur (ed.). <i>The Philosophy of Karl Popper</i>. Vol. II. Illinois: Open Court. pp. <span class="nowrap">961–</span>1197. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-87548-142-6" title="Special:BookSources/0-87548-142-6"><bdi>0-87548-142-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Replies+to+my+Critics&rft.btitle=The+Philosophy+of+Karl+Popper&rft.place=Illinois&rft.pages=%3Cspan+class%3D%22nowrap%22%3E961-%3C%2Fspan%3E1197&rft.pub=Open+Court&rft.date=1974&rft.isbn=0-87548-142-6&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1978" class="citation journal cs1">Popper, Karl (1978). "Natural Selection and the Emergence of Mind". <i><a href="/wiki/Dialectica" title="Dialectica">Dialectica</a></i>. <b>32</b> (3/4): <span class="nowrap">339–</span>355. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1111%2Fj.1746-8361.1978.tb01321.x">10.1111/j.1746-8361.1978.tb01321.x</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/42970324">42970324</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Dialectica&rft.atitle=Natural+Selection+and+the+Emergence+of+Mind&rft.volume=32&rft.issue=3%2F4&rft.pages=%3Cspan+class%3D%22nowrap%22%3E339-%3C%2Fspan%3E355&rft.date=1978&rft_id=info%3Adoi%2F10.1111%2Fj.1746-8361.1978.tb01321.x&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F42970324%23id-name%3DJSTOR&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1980" class="citation magazine cs1">Popper, Karl (1980). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=ZUwz_1Gyj-oC&pg=PA611">"Evolution"</a>. Letters. <i><a href="/wiki/New_Scientist" title="New Scientist">New Scientist</a></i>. Vol. 87, no. 1215. Reed Business Information. p. 611.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=New+Scientist&rft.atitle=Evolution&rft.volume=87&rft.issue=1215&rft.pages=611&rft.date=1980&rft.aulast=Popper&rft.aufirst=Karl&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DZUwz_1Gyj-oC%26pg%3DPA611&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged March 2024">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1983" class="citation book cs1">Popper, Karl (1983) [Originally written in 1962]. Bartley, III (ed.). <i>Realism and the Aim of Science: From the Postscript to The Logic of Scientific Discovery</i>. London; New York: Routledge. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4324%2F9780203713969">10.4324/9780203713969</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-415-08400-8" title="Special:BookSources/0-415-08400-8"><bdi>0-415-08400-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/25130665">25130665</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Realism+and+the+Aim+of+Science%3A+From+the+Postscript+to+The+Logic+of+Scientific+Discovery&rft.place=London%3B+New+York&rft.pub=Routledge&rft.date=1983&rft_id=info%3Aoclcnum%2F25130665&rft_id=info%3Adoi%2F10.4324%2F9780203713969&rft.isbn=0-415-08400-8&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1994" class="citation book cs1">Popper, Karl (1994). Notturno, Mark A. (ed.). <i>The Myth of the Framework: In Defence of Science and Rationality</i>. London; New York: Routledge. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4324%2F9780203535806">10.4324/9780203535806</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-415-11320-5" title="Special:BookSources/978-0-415-11320-5"><bdi>978-0-415-11320-5</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/30156902">30156902</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Myth+of+the+Framework%3A+In+Defence+of+Science+and+Rationality&rft.place=London%3B+New+York&rft.pub=Routledge&rft.date=1994&rft_id=info%3Aoclcnum%2F30156902&rft_id=info%3Adoi%2F10.4324%2F9780203535806&rft.isbn=978-0-415-11320-5&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1995" class="citation book cs1">Popper, Karl (1995) [Original version in 1945]. <i><a href="/wiki/The_Open_Society_and_Its_Enemies" title="The Open Society and Its Enemies">The Open Society and Its Enemies</a></i>. 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"Popper, Basic Statements and the Quine-Duhem Thesis". <i>Yearbook of the Irish Philosophical Society</i>. <b>9</b>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Yearbook+of+the+Irish+Philosophical+Society&rft.atitle=Popper%2C+Basic+Statements+and+the+Quine-Duhem+Thesis&rft.volume=9&rft.date=2007&rft.aulast=Thornton&rft.aufirst=Stephen&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFThornton2016" class="citation encyclopaedia cs1">Thornton, Stephen (2016) [First published 1997]. <a rel="nofollow" class="external text" href="https://plato.stanford.edu/archives/sum2017/entries/popper/">"Karl Popper"</a>. In Zalta, Edward N. (ed.). <i><a href="/wiki/Stanford_Encyclopedia_of_Philosophy" title="Stanford Encyclopedia of Philosophy">Stanford Encyclopedia of Philosophy</a></i> (Summer 2017 ed.). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20190318040859/https://plato.stanford.edu/archives/sum2017/entries/popper/">Archived</a> from the original on 18 March 2019<span class="reference-accessdate">. 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(ed.). <i><a href="/wiki/Stanford_Encyclopedia_of_Philosophy" title="Stanford Encyclopedia of Philosophy">Stanford Encyclopedia of Philosophy</a></i> (Summer 2017 ed.). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20210225083436/https://plato.stanford.edu/archives/sum2017/entries/vienna-circle/">Archived</a> from the original on 25 February 2021<span class="reference-accessdate">. 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Retrieved <span class="nowrap">9 January</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Time&rft.atitle=The+Evolution+Wars&rft.date=2005-08-07&rft_id=info%3Apmid%2F16116981&rft.aulast=Wallis&rft.aufirst=Claudia&rft_id=http%3A%2F%2Fcontent.time.com%2Ftime%2Fmagazine%2Farticle%2F0%2C9171%2C1090909%2C00.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWatkins1970" class="citation book cs1">Watkins, John (1970). "Against 'Normal Science'<span class="cs1-kern-right"></span>". In Lakatos, Imre; Musgrave, Alan (eds.). <i>Criticism and the Growth of Knowledge</i>. Proceedings of the International Colloquium in the Philosophy of Science. Vol. 4. 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Dordrecht: Springer. pp. <span class="nowrap">3–</span>13. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-94-009-3025-4">10.1007/978-94-009-3025-4</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-94-010-7860-3" title="Special:BookSources/978-94-010-7860-3"><bdi>978-94-010-7860-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Methodology+of+Scientific+Research+Programmes%3A+A+Retrospect&rft.btitle=Imre+Lakatos+and+Theories+of+Scientific+Change&rft.place=Dordrecht&rft.series=Boston+Studies+in+the+Philosophy+of+Science&rft.pages=%3Cspan+class%3D%22nowrap%22%3E3-%3C%2Fspan%3E13&rft.pub=Springer&rft.date=1989&rft_id=info%3Adoi%2F10.1007%2F978-94-009-3025-4&rft.isbn=978-94-010-7860-3&rft.aulast=Watkins&rft.aufirst=John&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWigmore2017" class="citation web cs1">Wigmore, Ivy (2017). <a rel="nofollow" class="external text" href="https://whatis.techtarget.com/definition/falsifiability">"Falsifiability"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Falsifiability&rft.date=2017&rft.aulast=Wigmore&rft.aufirst=Ivy&rft_id=https%3A%2F%2Fwhatis.techtarget.com%2Fdefinition%2Ffalsifiability&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWilkinson2013" class="citation journal cs1">Wilkinson, Mick (2013). <a rel="nofollow" class="external text" href="https://nrl.northumbria.ac.uk/id/eprint/12213/1/Testing%20the%20null%20hypothesis%20-%20main%20document%20Final.pdf">"Testing the null hypothesis: the forgotten legacy of Karl Popper?"</a> <span class="cs1-format">(PDF)</span>. <i>Journal of Sports Sciences</i>. <b>31</b> (9): <span class="nowrap">919–</span>920. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1080%2F02640414.2012.753636">10.1080/02640414.2012.753636</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/23249368">23249368</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:205512848">205512848</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Sports+Sciences&rft.atitle=Testing+the+null+hypothesis%3A+the+forgotten+legacy+of+Karl+Popper%3F&rft.volume=31&rft.issue=9&rft.pages=%3Cspan+class%3D%22nowrap%22%3E919-%3C%2Fspan%3E920&rft.date=2013&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A205512848%23id-name%3DS2CID&rft_id=info%3Apmid%2F23249368&rft_id=info%3Adoi%2F10.1080%2F02640414.2012.753636&rft.aulast=Wilkinson&rft.aufirst=Mick&rft_id=https%3A%2F%2Fnrl.northumbria.ac.uk%2Fid%2Feprint%2F12213%2F1%2FTesting%2520the%2520null%2520hypothesis%2520-%2520main%2520document%2520Final.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFYehuda2018" class="citation book cs1">Yehuda, Elkana (2018). "Einstein and God". <i>Einstein for the 21st Century: His Legacy in Science, Art, and Modern Culture</i>. Princeton University Press. pp. <span class="nowrap">35–</span>47. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-691-17790-8" title="Special:BookSources/978-0-691-17790-8"><bdi>978-0-691-17790-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Einstein+and+God&rft.btitle=Einstein+for+the+21st+Century%3A+His+Legacy+in+Science%2C+Art%2C+and+Modern+Culture&rft.pages=%3Cspan+class%3D%22nowrap%22%3E35-%3C%2Fspan%3E47&rft.pub=Princeton+University+Press&rft.date=2018&rft.isbn=978-0-691-17790-8&rft.aulast=Yehuda&rft.aufirst=Elkana&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFZahar1983" class="citation journal cs1">Zahar, E. G. (1983). "The Popper-Lakatos Controversy in the Light of 'Die Beiden Grundprobleme Der Erkenntnistheorie'<span class="cs1-kern-right"></span>". <i><a href="/wiki/The_British_Journal_for_the_Philosophy_of_Science" class="mw-redirect" title="The British Journal for the Philosophy of Science">The British Journal for the Philosophy of Science</a></i>. <b>34</b> (2): <span class="nowrap">149–</span>171. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1093%2Fbjps%2F34.2.149">10.1093/bjps/34.2.149</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/687447">687447</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+British+Journal+for+the+Philosophy+of+Science&rft.atitle=The+Popper-Lakatos+Controversy+in+the+Light+of+%27Die+Beiden+Grundprobleme+Der+Erkenntnistheorie%27&rft.volume=34&rft.issue=2&rft.pages=%3Cspan+class%3D%22nowrap%22%3E149-%3C%2Fspan%3E171&rft.date=1983&rft_id=info%3Adoi%2F10.1093%2Fbjps%2F34.2.149&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F687447%23id-name%3DJSTOR&rft.aulast=Zahar&rft.aufirst=E.+G.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=41" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239549316" /><div class="refbegin refbegin-columns references-column-width" style="column-width: 30em"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBinns1978" class="citation journal cs1">Binns, Peter (March 1978). "The Supposed Asymmetry between Falsification and Verification". <i><a href="/wiki/Dialectica" title="Dialectica">Dialectica</a></i>. <b>32</b> (1): <span class="nowrap">29–</span>40. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1111%2Fj.1746-8361.1978.tb01300.x">10.1111/j.1746-8361.1978.tb01300.x</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/42971398">42971398</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Dialectica&rft.atitle=The+Supposed+Asymmetry+between+Falsification+and+Verification&rft.volume=32&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E29-%3C%2Fspan%3E40&rft.date=1978-03&rft_id=info%3Adoi%2F10.1111%2Fj.1746-8361.1978.tb01300.x&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F42971398%23id-name%3DJSTOR&rft.aulast=Binns&rft.aufirst=Peter&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBlaug1992" class="citation book cs1">Blaug, Mark (1992). <i>The Methodology of Economics: Or, How Economists Explain</i>. Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-43678-6" title="Special:BookSources/978-0-521-43678-6"><bdi>978-0-521-43678-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Methodology+of+Economics%3A+Or%2C+How+Economists+Explain&rft.pub=Cambridge+University+Press&rft.date=1992&rft.isbn=978-0-521-43678-6&rft.aulast=Blaug&rft.aufirst=Mark&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFChapman2008" class="citation book cs1">Chapman, Siobhan (2008). <i>Language and Empiricism: After the Vienna Circle</i>. 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Reidel. pp. <span class="nowrap">18–</span>60. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-94-017-1978-0_3">10.1007/978-94-017-1978-0_3</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/90-277-1835-0" title="Special:BookSources/90-277-1835-0"><bdi>90-277-1835-0</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/10996819">10996819</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Notes+on+Popper+as+Follower+of+Whewell+and+Peirce&rft.btitle=Is+Science+Progressive%3F&rft.place=Dordrecht%3B+Boston&rft.series=Synthese+Library&rft.pages=%3Cspan+class%3D%22nowrap%22%3E18-%3C%2Fspan%3E60&rft.pub=D.+Reidel&rft.date=1984&rft_id=info%3Aoclcnum%2F10996819&rft_id=info%3Adoi%2F10.1007%2F978-94-017-1978-0_3&rft.isbn=90-277-1835-0&rft.aulast=Niiniluoto&rft.aufirst=Ilkka&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPloch2003" class="citation book cs1">Ploch, Stefan (2003). "Metatheoretical problems in phonology with Occam's Razor and non-ad-hoc-ness". <i>Living on the Edge: 28 Papers in Honour of Jonathan Kaye</i>. Studies in Generative Grammar. Vol. 62.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Metatheoretical+problems+in+phonology+with+Occam%27s+Razor+and+non-ad-hoc-ness&rft.btitle=Living+on+the+Edge%3A+28+Papers+in+Honour+of+Jonathan+Kaye&rft.series=Studies+in+Generative+Grammar&rft.date=2003&rft.aulast=Ploch&rft.aufirst=Stefan&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1976" class="citation book cs1">Popper, Karl (1976). Bartley III, William W. (ed.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=F_2WSLsDyvwC&pg=PA330"><i>Unended Quest: An Intellectual Autobiography</i></a> (2002 ed.). London and New York: Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-415-28589-5" title="Special:BookSources/0-415-28589-5"><bdi>0-415-28589-5</bdi></a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20201005023754/https://books.google.com/books?id=F_2WSLsDyvwC&pg=PA330">Archived</a> from the original on 5 October 2020<span class="reference-accessdate">. Retrieved <span class="nowrap">3 September</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Unended+Quest%3A+An+Intellectual+Autobiography&rft.place=London+and+New+York&rft.edition=2002&rft.pub=Routledge&rft.date=1976&rft.isbn=0-415-28589-5&rft.aulast=Popper&rft.aufirst=Karl&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DF_2WSLsDyvwC%26pg%3DPA330&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1982b" class="citation interview cs1">Popper, Karl (26 February 1982b). "Les chemins de la verite: L'Express va plus loin avec Karl Popper". <i><a href="/wiki/L%27Express" title="L'Express">L'Express</a></i> (Interview). Interviewed by S. Lannes and A. Boyer. pp. <span class="nowrap">82–</span>88.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=L%27Express&rft.atitle=Les+chemins+de+la+verite%3A+L%27Express+va+plus+loin+avec+Karl+Popper&rft.pages=%3Cspan+class%3D%22nowrap%22%3E82-%3C%2Fspan%3E88&rft.date=1982-02-26&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1989" class="citation book cs1 cs1-prop-foreign-lang-source">Popper, Karl (1989). "Zwei Bedeutungen von Falsifizierbarkeit [Two meanings of falsifiability]". In Seiffert, H.; Radnitzky, G. (eds.). <i>Handlexikon der Wissenschaftstheorie [Dictionary of epistemology]</i> (in German) (1992 ed.). München: Deutscher Taschenbuch Verlag. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/3-423-04586-8" title="Special:BookSources/3-423-04586-8"><bdi>3-423-04586-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Zwei+Bedeutungen+von+Falsifizierbarkeit+%5BTwo+meanings+of+falsifiability%5D&rft.btitle=Handlexikon+der+Wissenschaftstheorie+%5BDictionary+of+epistemology%5D&rft.place=M%C3%BCnchen&rft.edition=1992&rft.pub=Deutscher+Taschenbuch+Verlag&rft.date=1989&rft.isbn=3-423-04586-8&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper1992" class="citation book cs1">Popper, Karl (1992) [Originally written in 1962]. Bartley III, W.W. (ed.). <i>Quantum Theory and the Schism in Physics: From the Postscript to the Logic of Scientific Discovery</i> (2005 ed.). London; New York: Routledge. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4324%2F9780203713990">10.4324/9780203713990</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-415-09112-8" title="Special:BookSources/0-415-09112-8"><bdi>0-415-09112-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/26159482">26159482</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Quantum+Theory+and+the+Schism+in+Physics%3A+From+the+Postscript+to+the+Logic+of+Scientific+Discovery&rft.place=London%3B+New+York&rft.edition=2005&rft.pub=Routledge&rft.date=1992&rft_id=info%3Aoclcnum%2F26159482&rft_id=info%3Adoi%2F10.4324%2F9780203713990&rft.isbn=0-415-09112-8&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPopper2009" class="citation book cs1">Popper, Karl (2009) [Manuscript 1933, Published in German 1979]. Eggers Hansen, Troels (ed.). <i>The Two Fundamental Problems of the Theory of Knowledge</i>. Translated by Pickel, Andreas. London; New York: Routledge. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4324%2F9780203371107">10.4324/9780203371107</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-415-39431-4" title="Special:BookSources/978-0-415-39431-4"><bdi>978-0-415-39431-4</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/212627154">212627154</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Two+Fundamental+Problems+of+the+Theory+of+Knowledge&rft.place=London%3B+New+York&rft.pub=Routledge&rft.date=2009&rft_id=info%3Aoclcnum%2F212627154&rft_id=info%3Adoi%2F10.4324%2F9780203371107&rft.isbn=978-0-415-39431-4&rft.aulast=Popper&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRescher1977" class="citation book cs1"><a href="/wiki/Nicholas_Rescher" title="Nicholas Rescher">Rescher, Nicholas</a> (1977). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/dialecticscontro0000resc/page/119">"Confirmationism vs. Falsificationism"</a></span>. <i>Dialectics: A Controversy-Oriented Approach to the Theory of Knowledge</i>. Albany: State University of New York Press. pp. <a rel="nofollow" class="external text" href="https://archive.org/details/dialecticscontro0000resc/page/119">119–123</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-87395-372-X" title="Special:BookSources/0-87395-372-X"><bdi>0-87395-372-X</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/3034395">3034395</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Confirmationism+vs.+Falsificationism&rft.btitle=Dialectics%3A+A+Controversy-Oriented+Approach+to+the+Theory+of+Knowledge&rft.place=Albany&rft.pages=119-123&rft.pub=State+University+of+New+York+Press&rft.date=1977&rft_id=info%3Aoclcnum%2F3034395&rft.isbn=0-87395-372-X&rft.aulast=Rescher&rft.aufirst=Nicholas&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdialecticscontro0000resc%2Fpage%2F119&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRescher1989" class="citation book cs1"><a href="/wiki/Nicholas_Rescher" title="Nicholas Rescher">Rescher, Nicholas</a> (1989). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/cognitiveeconomy0000resc/page/118">"Generality Preference and Falsificationism"</a></span>. <i>Cognitive Economy: The Economic Dimension of the Theory of Knowledge</i>. Pittsburgh: University of Pittsburgh Press. pp. <a rel="nofollow" class="external text" href="https://archive.org/details/cognitiveeconomy0000resc/page/118">118–123</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-8229-3617-8" title="Special:BookSources/0-8229-3617-8"><bdi>0-8229-3617-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/19264362">19264362</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Generality+Preference+and+Falsificationism&rft.btitle=Cognitive+Economy%3A+The+Economic+Dimension+of+the+Theory+of+Knowledge&rft.place=Pittsburgh&rft.pages=118-123&rft.pub=University+of+Pittsburgh+Press&rft.date=1989&rft_id=info%3Aoclcnum%2F19264362&rft.isbn=0-8229-3617-8&rft.aulast=Rescher&rft.aufirst=Nicholas&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fcognitiveeconomy0000resc%2Fpage%2F118&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWatkins1974" class="citation book cs1">Watkins, John (1974). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/philosophyofkarl01popp/page/371">"The Unity of Popper's Thought"</a></span>. In Schilpp, Paul Arthur (ed.). <i>The Philosophy of Karl Popper</i>. Vol. I. Illinois: Open Court. pp. <a rel="nofollow" class="external text" href="https://archive.org/details/philosophyofkarl01popp/page/371">371–412</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-87548-141-8" title="Special:BookSources/0-87548-141-8"><bdi>0-87548-141-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/2580491">2580491</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Unity+of+Popper%27s+Thought&rft.btitle=The+Philosophy+of+Karl+Popper&rft.place=Illinois&rft.pages=371-412&rft.pub=Open+Court&rft.date=1974&rft_id=info%3Aoclcnum%2F2580491&rft.isbn=0-87548-141-8&rft.aulast=Watkins&rft.aufirst=John&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fphilosophyofkarl01popp%2Fpage%2F371&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWoit2018" class="citation web cs1">Woit, Peter (2018). <a rel="nofollow" class="external text" href="https://www.math.columbia.edu/~woit/wordpress/?p=9938">"Beyond Falsifiability"</a>. <i>Not even wrong</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Not+even+wrong&rft.atitle=Beyond+Falsifiability&rft.date=2018&rft.aulast=Woit&rft.aufirst=Peter&rft_id=https%3A%2F%2Fwww.math.columbia.edu%2F~woit%2Fwordpress%2F%3Fp%3D9938&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFalsifiability" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Falsifiability&action=edit&section=42" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Wiktionary-logo-en-v2.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/20px-Wiktionary-logo-en-v2.svg.png" decoding="async" width="16" 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a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Epistemology" title="Template:Epistemology"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Epistemology" title="Template talk:Epistemology"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Epistemology" title="Special:EditPage/Template:Epistemology"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Epistemology722" style="font-size:114%;margin:0 4em"><a href="/wiki/Epistemology" title="Epistemology">Epistemology</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_epistemologists" title="List of epistemologists">Epistemologists</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/William_Alston" title="William Alston">William Alston</a></li> <li><a href="/wiki/Thomas_Aquinas" title="Thomas Aquinas">Aquinas</a></li> <li><a href="/wiki/Robert_Audi" title="Robert Audi">Robert Audi</a></li> <li><a href="/wiki/Augustine_of_Hippo" title="Augustine of Hippo">Augustine</a></li> <li><a href="/wiki/A._J._Ayer" title="A. J. Ayer">A. J. Ayer</a></li> <li><a href="/wiki/George_Berkeley" title="George Berkeley">George Berkeley</a></li> <li><a href="/wiki/Laurence_BonJour" title="Laurence BonJour">Laurence BonJour</a></li> <li><a href="/wiki/Gilles_Deleuze" title="Gilles Deleuze">Gilles Deleuze</a></li> <li><a href="/wiki/Keith_DeRose" title="Keith DeRose">Keith DeRose</a></li> <li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">René Descartes</a></li> <li><a href="/wiki/John_Dewey" title="John Dewey">John Dewey</a></li> <li><a href="/wiki/Fred_Dretske" title="Fred Dretske">Fred Dretske</a></li> <li><a href="/wiki/Edmund_Gettier" title="Edmund Gettier">Edmund Gettier</a></li> <li><a href="/wiki/Alvin_Goldman" title="Alvin Goldman">Alvin Goldman</a></li> <li><a href="/wiki/Nelson_Goodman" title="Nelson Goodman">Nelson Goodman</a></li> <li><a href="/wiki/Paul_Grice" title="Paul Grice">Paul Grice</a></li> <li><a href="/wiki/Anil_Gupta_(philosopher)" title="Anil Gupta (philosopher)">Anil Gupta</a></li> <li><a href="/wiki/Susan_Haack" title="Susan Haack">Susan Haack</a></li> <li><a href="/wiki/David_Hume" title="David Hume">David Hume</a></li> <li><a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Immanuel Kant</a></li> <li><a href="/wiki/S%C3%B8ren_Kierkegaard" title="Søren Kierkegaard">Søren Kierkegaard</a></li> <li><a href="/wiki/Peter_D._Klein" title="Peter D. Klein">Peter Klein</a></li> <li><a href="/wiki/Saul_Kripke" title="Saul Kripke">Saul Kripke</a></li> <li><a href="/wiki/Hilary_Kornblith" title="Hilary Kornblith">Hilary Kornblith</a></li> <li><a href="/wiki/David_Lewis_(philosopher)" title="David Lewis (philosopher)">David Lewis</a></li> <li><a href="/wiki/John_Locke" title="John Locke">John Locke</a></li> <li><a href="/wiki/G._E._Moore" title="G. E. Moore">G. E. Moore</a></li> <li><a href="/wiki/John_McDowell" title="John McDowell">John McDowell</a></li> <li><a href="/wiki/Robert_Nozick" title="Robert Nozick">Robert Nozick</a></li> <li><a href="/wiki/Alvin_Plantinga" title="Alvin Plantinga">Alvin Plantinga</a></li> <li><a href="/wiki/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Duncan_Pritchard" title="Duncan Pritchard">Duncan Pritchard</a></li> <li><a href="/wiki/James_Pryor" title="James Pryor">James Pryor</a></li> <li><a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Hilary Putnam</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">W. V. O. Quine</a></li> <li><a href="/wiki/Thomas_Reid" title="Thomas Reid">Thomas Reid</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Gilbert_Ryle" title="Gilbert Ryle">Gilbert Ryle</a></li> <li><a href="/wiki/Wilfrid_Sellars" title="Wilfrid Sellars">Wilfrid Sellars</a></li> <li><a href="/wiki/Susanna_Siegel" title="Susanna Siegel">Susanna Siegel</a></li> <li><a href="/wiki/Ernest_Sosa" title="Ernest Sosa">Ernest Sosa</a></li> <li><a href="/wiki/P._F._Strawson" title="P. F. Strawson">P. F. Strawson</a></li> <li><a href="/wiki/Baruch_Spinoza" title="Baruch Spinoza">Baruch Spinoza</a></li> <li><a href="/wiki/Timothy_Williamson" title="Timothy Williamson">Timothy Williamson</a></li> <li><a href="/wiki/Ludwig_Wittgenstein" title="Ludwig Wittgenstein">Ludwig Wittgenstein</a></li> <li><a href="/wiki/Nicholas_Wolterstorff" title="Nicholas Wolterstorff">Nicholas Wolterstorff</a></li> <li><a href="/wiki/Vienna_Circle" title="Vienna Circle">Vienna Circle</a></li> <li><i><a href="/wiki/List_of_epistemologists" title="List of epistemologists">more...</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Epistemological_theories" title="Category:Epistemological theories">Theories</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Coherentism" title="Coherentism">Coherentism</a></li> <li><a href="/wiki/Constructivist_epistemology" class="mw-redirect" title="Constructivist epistemology">Constructivism</a></li> <li><a href="/wiki/Contextualism" title="Contextualism">Contextualism</a></li> <li><a href="/wiki/Empiricism" title="Empiricism">Empiricism</a></li> <li><a href="/wiki/Evolutionary_epistemology" title="Evolutionary epistemology">Evolutionary epistemology</a></li> <li><a href="/wiki/Fallibilism" title="Fallibilism">Fallibilism</a></li> <li><a href="/wiki/Feminist_epistemology" title="Feminist epistemology">Feminist epistemology</a></li> <li><a href="/wiki/Fideism" title="Fideism">Fideism</a></li> <li><a href="/wiki/Foundationalism" title="Foundationalism">Foundationalism</a></li> <li><a href="/wiki/Semantic_holism" title="Semantic holism">Holism</a></li> <li><a href="/wiki/Infinitism" title="Infinitism">Infinitism</a></li> <li><a href="/wiki/Innatism" title="Innatism">Innatism</a></li> <li><a href="/wiki/Na%C3%AFve_realism" title="Naïve realism">Naïve realism</a></li> <li><a href="/wiki/Naturalized_epistemology" title="Naturalized epistemology">Naturalized epistemology</a></li> <li><a href="/wiki/Phenomenalism" title="Phenomenalism">Phenomenalism</a></li> <li><a href="/wiki/Positivism" title="Positivism">Positivism</a></li> <li><a href="/wiki/Rationalism" title="Rationalism">Rationalism</a></li> <li><a href="/wiki/Reductionism" title="Reductionism">Reductionism</a></li> <li><a href="/wiki/Reliabilism" title="Reliabilism">Reliabilism</a></li> <li><a href="/wiki/Direct_and_indirect_realism" title="Direct and indirect realism">Representational realism</a></li> <li><a href="/wiki/Philosophical_skepticism" title="Philosophical skepticism">Skepticism</a></li> <li><a href="/wiki/Transcendental_idealism" title="Transcendental idealism">Transcendental idealism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Concepts_in_epistemology" title="Category:Concepts in epistemology">Concepts</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/A_priori_and_a_posteriori" title="A priori and a posteriori"><i>A priori</i> knowledge</a></li> <li><a href="/wiki/A_priori_and_a_posteriori" title="A priori and a posteriori"><i>A posteriori</i> knowledge</a></li> <li><a href="/wiki/Philosophical_analysis" title="Philosophical analysis">Analysis</a></li> <li><a href="/wiki/Analytic%E2%80%93synthetic_distinction" title="Analytic–synthetic distinction">Analytic–synthetic distinction</a></li> <li><a href="/wiki/Belief" title="Belief">Belief</a></li> <li><a href="/wiki/Certainty" title="Certainty">Certainty</a></li> <li><a href="/wiki/Common_sense" title="Common sense">Common sense</a></li> <li><a href="/wiki/Descriptive_knowledge" class="mw-redirect" title="Descriptive knowledge">Descriptive knowledge</a></li> <li><a href="/wiki/Exploratory_thought" title="Exploratory thought">Exploratory thought</a></li> <li><a href="/wiki/Epistemic_injustice" title="Epistemic injustice">Epistemic injustice</a></li> <li><a href="/wiki/Epistemic_virtue" title="Epistemic virtue">Epistemic virtue</a></li> <li><a href="/wiki/Gettier_problem" title="Gettier problem">Gettier problem</a></li> <li><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">Induction</a></li> <li><a href="/wiki/Internalism_and_externalism" title="Internalism and externalism">Internalism and externalism</a></li> <li><a href="/wiki/Justification_(epistemology)" title="Justification (epistemology)">Justification</a></li> <li><a href="/wiki/Knowledge" title="Knowledge">Knowledge</a></li> <li><a href="/wiki/Meta_(prefix)" title="Meta (prefix)">Meta</a></li> <li><a href="/wiki/Objectivity_(philosophy)" class="mw-redirect" title="Objectivity (philosophy)">Objectivity</a></li> <li><a href="/wiki/Privileged_access" class="mw-redirect" title="Privileged access">Privileged access</a></li> <li><a href="/wiki/Problem_of_induction" title="Problem of induction">Problem of induction</a></li> <li><a href="/wiki/Problem_of_other_minds" title="Problem of other minds">Problem of other minds</a></li> <li><a href="/wiki/Perception" title="Perception">Perception</a></li> <li><a href="/wiki/Procedural_knowledge" title="Procedural knowledge">Procedural knowledge</a></li> <li><a href="/wiki/Proposition" title="Proposition">Proposition</a></li> <li><a href="/wiki/Regress_argument" class="mw-redirect" title="Regress argument">Regress argument</a></li> <li><a href="/wiki/Simplicity" title="Simplicity">Simplicity</a></li> <li><a href="/wiki/Truth" title="Truth">Truth</a></li> <li><a href="/wiki/Uncertainty" title="Uncertainty">Uncertainty</a></li> <li><i><a href="/wiki/Index_of_epistemology_articles" title="Index of epistemology articles">more...</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related articles</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Faith_and_rationality" title="Faith and rationality">Faith and rationality</a></li> <li><a href="/wiki/Formal_epistemology" title="Formal epistemology">Formal epistemology</a></li> <li><a href="/wiki/Metaepistemology" title="Metaepistemology">Metaepistemology</a></li> <li><a href="/wiki/Philosophy_of_perception" title="Philosophy of perception">Philosophy of perception</a></li> <li><a href="/wiki/Philosophy_of_science" title="Philosophy of science">Philosophy of science</a></li> <li><a href="/wiki/Social_epistemology" title="Social epistemology">Social epistemology</a></li> <li><a href="/wiki/Virtue_epistemology" title="Virtue epistemology">Virtue epistemology</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Epistemology" title="Category:Epistemology">Category</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Outline"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/20px-Global_thinking.svg.png" decoding="async" width="10" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/40px-Global_thinking.svg.png 2x" data-file-width="130" data-file-height="200" /></span></span> <a href="/wiki/Outline_of_epistemology" title="Outline of epistemology">Outline</a></li> <li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Symbol_portal_class.svg" class="mw-file-description" title="Portal"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/20px-Symbol_portal_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/40px-Symbol_portal_class.svg.png 1.5x" data-file-width="180" data-file-height="185" /></a></span> <a href="/wiki/Portal:Philosophy" title="Portal:Philosophy">Portal</a></li> <li><span class="noviewer" typeof="mw:File"><span title="WikiProject"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/16px-People_icon.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/24px-People_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/32px-People_icon.svg.png 2x" data-file-width="100" data-file-height="100" /></span></span> <a href="/wiki/Wikipedia:WikiProject_Philosophy/Epistemology" title="Wikipedia:WikiProject Philosophy/Epistemology">WikiProject</a></li> <li><a href="/wiki/Category:Philosophy_stubs" title="Category:Philosophy stubs">Stubs</a></li> <li><a href="/wiki/Wikipedia_talk:WikiProject_Philosophy" title="Wikipedia talk:WikiProject Philosophy">Discussion</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Philosophy_of_science517" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Philosophy_of_science" title="Template:Philosophy of science"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Philosophy_of_science" title="Template talk:Philosophy of science"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Philosophy_of_science" title="Special:EditPage/Template:Philosophy of science"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Philosophy_of_science517" style="font-size:114%;margin:0 4em"><a href="/wiki/Philosophy_of_science" title="Philosophy of science">Philosophy of science</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Philosophical_analysis" title="Philosophical analysis">Analysis</a></li> <li><a href="/wiki/Analytic%E2%80%93synthetic_distinction" title="Analytic–synthetic distinction">Analytic–synthetic distinction</a></li> <li><a href="/wiki/A_priori_and_a_posteriori" title="A priori and a posteriori"><i>A priori</i> and <i>a posteriori</i></a></li> <li><a href="/wiki/Causality" title="Causality">Causality</a> <ul><li><a href="/wiki/Mill%27s_Methods" class="mw-redirect" title="Mill's Methods">Mill's Methods</a></li></ul></li> <li><a href="/wiki/Commensurability_(philosophy_of_science)" title="Commensurability (philosophy of science)">Commensurability</a></li> <li><a href="/wiki/Consilience" title="Consilience">Consilience</a></li> <li><a href="/wiki/Construct_(philosophy)" title="Construct (philosophy)">Construct</a></li> <li><a href="/wiki/Correlation" title="Correlation">Correlation</a> <ul><li><a href="/wiki/Correlation_function" title="Correlation function">function</a></li></ul></li> <li><a href="/wiki/Creative_synthesis" title="Creative synthesis">Creative synthesis</a></li> <li><a href="/wiki/Demarcation_problem" title="Demarcation problem">Demarcation problem</a></li> <li><a href="/wiki/Empirical_evidence" title="Empirical evidence">Empirical evidence</a></li> <li><a href="/wiki/Experiment" title="Experiment">Experiment</a> <ul><li><a href="/wiki/Design_of_experiments" title="Design of experiments">design</a></li></ul></li> <li><a href="/wiki/Explanatory_power" title="Explanatory power">Explanatory power</a></li> <li><a href="/wiki/Fact" title="Fact">Fact</a></li> <li><a class="mw-selflink selflink">Falsifiability</a></li> <li><a href="/wiki/Feminist_method" title="Feminist method">Feminist method</a></li> <li><a href="/wiki/Functional_contextualism" title="Functional contextualism">Functional contextualism</a></li> <li><a href="/wiki/Hypothesis" title="Hypothesis">Hypothesis</a> <ul><li><a href="/wiki/Alternative_hypothesis" title="Alternative hypothesis">alternative</a></li> <li><a href="/wiki/Null_hypothesis" title="Null hypothesis">null</a></li></ul></li> <li><i><a href="/wiki/Ignoramus_et_ignorabimus" title="Ignoramus et ignorabimus">Ignoramus et ignorabimus</a></i></li> <li><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">Inductive reasoning</a></li> <li><a href="/wiki/Intertheoretic_reduction" title="Intertheoretic reduction">Intertheoretic reduction</a></li> <li><a href="/wiki/Inquiry" title="Inquiry">Inquiry</a></li> <li><a href="/wiki/Measurement" title="Measurement">Measurement</a></li> <li><a href="/wiki/Nature_(philosophy)" title="Nature (philosophy)">Nature</a></li> <li><a href="/wiki/Objectivity_(philosophy)" class="mw-redirect" title="Objectivity (philosophy)">Objectivity</a></li> <li><a href="/wiki/Observation" title="Observation">Observation</a></li> <li><a href="/wiki/Paradigm" title="Paradigm">Paradigm</a></li> <li><a href="/wiki/Problem_of_induction" title="Problem of induction">Problem of induction</a></li> <li><a href="/wiki/Scientific_evidence" title="Scientific evidence">Scientific evidence</a> <ul><li><a href="/wiki/Evidence-based_practice" title="Evidence-based practice">Evidence-based practice</a></li></ul></li> <li><a href="/wiki/Scientific_law" title="Scientific law">Scientific law</a></li> <li><a href="/wiki/Scientific_method" title="Scientific method">Scientific method</a></li> <li><a href="/wiki/Scientific_pluralism" title="Scientific pluralism">Scientific pluralism</a></li> <li><a href="/wiki/Scientific_Revolution" title="Scientific Revolution">Scientific Revolution</a></li> <li><a href="/wiki/Testability" title="Testability">Testability</a></li> <li><a href="/wiki/Theory" title="Theory">Theory</a> <ul><li><a href="/wiki/Theory_choice" title="Theory choice">choice</a></li> <li><a href="/wiki/Theory-ladenness" title="Theory-ladenness">ladenness</a></li> <li><a href="/wiki/Scientific_theory" title="Scientific theory">scientific</a></li></ul></li> <li><a href="/wiki/Underdetermination" title="Underdetermination">Underdetermination</a></li> <li><a href="/wiki/Unity_of_science" title="Unity of science">Unity of science</a></li> <li><a href="/wiki/Variable_and_attribute_(research)" title="Variable and attribute (research)">Variable</a> <ul><li><a href="/wiki/Control_variable" title="Control variable">control</a></li> <li><a href="/wiki/Dependent_and_independent_variables" title="Dependent and independent variables">dependent and independent</a></li></ul></li> <li><a href="/wiki/Index_of_philosophy_of_science_articles" title="Index of philosophy of science articles">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theories</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Coherentism" title="Coherentism">Coherentism</a></li> <li><a href="/wiki/Confirmation_holism" title="Confirmation holism">Confirmation holism</a></li> <li><a href="/wiki/Constructive_empiricism" title="Constructive empiricism">Constructive empiricism</a></li> <li><a href="/wiki/Constructive_realism" title="Constructive realism">Constructive realism</a></li> <li><a href="/wiki/Constructivist_epistemology" class="mw-redirect" title="Constructivist epistemology">Constructivist epistemology</a></li> <li><a href="/wiki/Contextualism" title="Contextualism">Contextualism</a></li> <li><a href="/wiki/Conventionalism" title="Conventionalism">Conventionalism</a></li> <li><a href="/wiki/Deductive-nomological_model" title="Deductive-nomological model">Deductive-nomological model</a></li> <li><a href="/wiki/Epistemological_anarchism" class="mw-redirect" title="Epistemological anarchism">Epistemological anarchism</a></li> <li><a href="/wiki/Evolutionism" title="Evolutionism">Evolutionism</a></li> <li><a href="/wiki/Fallibilism" title="Fallibilism">Fallibilism</a></li> <li><a href="/wiki/Foundationalism" title="Foundationalism">Foundationalism</a></li> <li><a href="/wiki/Hypothetico-deductive_model" title="Hypothetico-deductive model">Hypothetico-deductive model</a></li> <li><a href="/wiki/Inductionism" title="Inductionism">Inductionism</a></li> <li><a href="/wiki/Instrumentalism" title="Instrumentalism">Instrumentalism</a></li> <li><a href="/wiki/Model-dependent_realism" title="Model-dependent realism">Model-dependent realism</a></li> <li><a href="/wiki/Naturalism_(philosophy)" title="Naturalism (philosophy)">Naturalism</a></li> <li><a href="/wiki/Physicalism" title="Physicalism">Physicalism</a></li> <li><a href="/wiki/Positivism" title="Positivism">Positivism</a> / <a href="/wiki/Reductionism" title="Reductionism">Reductionism</a> / <a href="/wiki/Determinism" title="Determinism">Determinism</a></li> <li><a href="/wiki/Pragmatism" title="Pragmatism">Pragmatism</a></li> <li><a href="/wiki/Rationalism" title="Rationalism">Rationalism</a> / <a href="/wiki/Empiricism" title="Empiricism">Empiricism</a></li> <li><a href="/wiki/Received_view_of_theories" title="Received view of theories">Received view</a> / <a href="/wiki/Semantic_view_of_theories" title="Semantic view of theories">Semantic view of theories</a></li> <li><a href="/wiki/Scientific_essentialism" title="Scientific essentialism">Scientific essentialism</a></li> <li><a href="/wiki/Scientific_formalism" title="Scientific formalism">Scientific formalism</a></li> <li><a href="/wiki/Scientific_realism" title="Scientific realism">Scientific realism</a> / <a href="/wiki/Anti-realism" title="Anti-realism">Anti-realism</a></li> <li><a href="/wiki/Scientific_skepticism" title="Scientific skepticism">Scientific skepticism</a></li> <li><a href="/wiki/Scientism" title="Scientism">Scientism</a></li> <li><a href="/wiki/Structuralism_(philosophy_of_science)" title="Structuralism (philosophy of science)">Structuralism</a></li> <li><a href="/wiki/Uniformitarianism" title="Uniformitarianism">Uniformitarianism</a></li> <li><a href="/wiki/Verificationism" title="Verificationism">Verificationism</a></li> <li><a href="/wiki/Vitalism" title="Vitalism">Vitalism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Philosophy of...</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Philosophy_of_biology" title="Philosophy of biology">Biology</a></li> <li><a href="/wiki/Philosophy_of_chemistry" title="Philosophy of chemistry">Chemistry</a></li> <li><a href="/wiki/Philosophy_of_physics" title="Philosophy of physics">Physics</a> <ul><li><a href="/wiki/Philosophy_of_space_and_time" title="Philosophy of space and time">Space and time</a></li></ul></li> <li><a href="/wiki/Philosophy_of_social_science" title="Philosophy of social science">Social science</a> <ul><li><a href="/wiki/Philosophy_of_archaeology" title="Philosophy of archaeology">Archaeology</a></li> <li><a href="/wiki/Philosophy_of_economics" class="mw-redirect" title="Philosophy of economics">Economics</a></li> <li><a href="/wiki/Philosophy_of_geography" title="Philosophy of geography">Geography</a></li> <li><a href="/wiki/Philosophy_of_history" title="Philosophy of history">History</a></li> <li><a href="/wiki/Philosophy_of_linguistics" title="Philosophy of linguistics">Linguistics</a></li> <li><a href="/wiki/Philosophy_of_psychology" title="Philosophy of psychology">Psychology</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Criticism_of_science" title="Criticism of science">Criticism of science</a></li> <li><a href="/wiki/Descriptive_research" title="Descriptive research">Descriptive science</a></li> <li><a href="/wiki/Epistemology" title="Epistemology">Epistemology</a></li> <li><a href="/wiki/Exact_sciences" title="Exact sciences">Exact sciences</a></li> <li><a href="/wiki/Faith_and_rationality" title="Faith and rationality">Faith and rationality</a></li> <li><a href="/wiki/Hard_and_soft_science" title="Hard and soft science">Hard and soft science</a></li> <li><a href="/wiki/History_and_philosophy_of_science" title="History and philosophy of science">History and philosophy of science</a></li> <li><a href="/wiki/Non-science" title="Non-science">Non-science</a> <ul><li><a href="/wiki/Pseudoscience" title="Pseudoscience">Pseudoscience</a></li></ul></li> <li><a href="/wiki/Normative_science" title="Normative science">Normative science</a></li> <li><a href="/wiki/Protoscience" title="Protoscience">Protoscience</a></li> <li><a href="/wiki/Questionable_cause" title="Questionable cause">Questionable cause</a></li> <li><a href="/wiki/Relationship_between_religion_and_science" title="Relationship between religion and science">Relationship between religion and science</a></li> <li><a href="/wiki/Rhetoric_of_science" title="Rhetoric of science">Rhetoric of science</a></li> <li><a href="/wiki/Science_studies" title="Science studies">Science studies</a></li> <li><a href="/wiki/Sociology_of_scientific_ignorance" title="Sociology of scientific ignorance">Sociology of scientific ignorance</a></li> <li><a href="/wiki/Sociology_of_scientific_knowledge" title="Sociology of scientific knowledge">Sociology of scientific knowledge</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_philosophers_of_science" title="List of philosophers of science">Philosophers of science</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Precursors10" scope="row" class="navbox-group" style="width:7.5em">Precursors</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Roger_Bacon" title="Roger Bacon">Roger Bacon</a></li> <li><a href="/wiki/Francis_Bacon" title="Francis Bacon">Francis Bacon</a></li> <li><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo Galilei</a></li> <li><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a></li> <li><a href="/wiki/David_Hume" title="David Hume">David Hume</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Auguste_Comte" title="Auguste Comte">Auguste Comte</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Henri Poincaré</a></li> <li><a href="/wiki/Pierre_Duhem" title="Pierre Duhem">Pierre Duhem</a></li> <li><a href="/wiki/Rudolf_Steiner" title="Rudolf Steiner">Rudolf Steiner</a></li> <li><a href="/wiki/Karl_Pearson" title="Karl Pearson">Karl Pearson</a></li> <li><a href="/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce">Charles Sanders Peirce</a></li> <li><a href="/wiki/Wilhelm_Windelband" title="Wilhelm Windelband">Wilhelm Windelband</a></li> <li><a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Alfred North Whitehead</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Otto_Neurath" title="Otto Neurath">Otto Neurath</a></li> <li><a href="/wiki/C._D._Broad" title="C. D. Broad">C. D. Broad</a></li> <li><a href="/wiki/Michael_Polanyi" title="Michael Polanyi">Michael Polanyi</a></li> <li><a href="/wiki/Hans_Reichenbach" title="Hans Reichenbach">Hans Reichenbach</a></li> <li><a href="/wiki/Rudolf_Carnap" title="Rudolf Carnap">Rudolf Carnap</a></li> <li><a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a></li> <li><a href="/wiki/Carl_Gustav_Hempel" title="Carl Gustav Hempel">Carl Gustav Hempel</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">W. V. O. Quine</a></li> <li><a href="/wiki/Thomas_Kuhn" title="Thomas Kuhn">Thomas Kuhn</a></li> <li><a href="/wiki/Imre_Lakatos" title="Imre Lakatos">Imre Lakatos</a></li> <li><a href="/wiki/Paul_Feyerabend" title="Paul Feyerabend">Paul Feyerabend</a></li> <li><a href="/wiki/Ian_Hacking" title="Ian Hacking">Ian Hacking</a></li> <li><a href="/wiki/Bas_van_Fraassen" title="Bas van Fraassen">Bas van Fraassen</a></li> <li><a href="/wiki/Larry_Laudan" title="Larry Laudan">Larry Laudan</a></li></ul></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, 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rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Jurisprudence" title="Template:Jurisprudence"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Jurisprudence" title="Template talk:Jurisprudence"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Jurisprudence" title="Special:EditPage/Template:Jurisprudence"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Jurisprudence774" style="font-size:114%;margin:0 4em"><a href="/wiki/Jurisprudence" title="Jurisprudence">Jurisprudence</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Index_of_philosophy_of_law_articles" title="Index of philosophy of law articles">Index</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Legal_theory" class="mw-redirect" title="Legal theory">Legal theory</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Constitutionalism" title="Constitutionalism">Constitutionalism</a></li> <li><a href="/wiki/Critical_legal_studies" title="Critical legal studies">Critical legal studies</a></li> <li><a href="/wiki/Comparative_law" title="Comparative law">Comparative law</a></li> <li><a href="/wiki/Law_and_economics" title="Law and economics">Economic analysis</a></li> <li><a href="/wiki/Legal_norms" class="mw-redirect" title="Legal norms">Legal norms</a></li> <li><a href="/wiki/International_legal_theory" class="mw-redirect" title="International legal theory">International legal theory</a></li> <li><a href="/wiki/Legal_history" title="Legal history">Legal history</a></li> <li><a href="/wiki/Philosophy_of_law" class="mw-redirect" title="Philosophy of law">Philosophy of law</a></li> <li><a href="/wiki/Sociology_of_law" title="Sociology of law">Sociology of law</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Philosophers_of_law" title="Category:Philosophers of law">Philosophers</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Robert_Alexy" title="Robert Alexy">Alexy</a></li> <li><a href="/wiki/Thomas_Aquinas" title="Thomas Aquinas">Aquinas</a></li> <li><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a></li> <li><a href="/wiki/John_Austin_(legal_philosopher)" title="John Austin (legal philosopher)">Austin</a></li> <li><a href="/wiki/Fr%C3%A9d%C3%A9ric_Bastiat" title="Frédéric Bastiat">Bastiat</a></li> <li><a href="/wiki/Cesare_Beccaria" title="Cesare Beccaria">Beccaria</a></li> <li><a href="/wiki/Jeremy_Bentham" title="Jeremy Bentham">Bentham</a></li> <li><a href="/wiki/William_Blackstone" title="William Blackstone">Blackstone</a></li> <li><a href="/wiki/Norberto_Bobbio" title="Norberto Bobbio">Bobbio</a></li> <li><a href="/wiki/Robert_Bork" title="Robert Bork">Bork</a></li> <li><a href="/wiki/Bartosz_Bro%C5%BCek" title="Bartosz Brożek">Brożek</a></li> <li><a href="/wiki/Benjamin_N._Cardozo" title="Benjamin N. Cardozo">Cardozo</a></li> <li><a href="/wiki/%C3%89mile_Durkheim" title="Émile Durkheim">Durkheim</a></li> <li><a href="/wiki/Ronald_Dworkin" title="Ronald Dworkin">Dworkin</a></li> <li><a href="/wiki/Eugen_Ehrlich" title="Eugen Ehrlich">Ehrlich</a></li> <li><a href="/wiki/John_Finnis" title="John Finnis">Finnis</a></li> <li><a href="/wiki/Lon_L._Fuller" title="Lon L. Fuller">Fuller</a></li> <li><a href="/wiki/Hugo_Grotius" title="Hugo Grotius">Grotius</a></li> <li><a href="/wiki/Georges_Gurvitch" title="Georges Gurvitch">Gurvitch</a></li> <li><a href="/wiki/J%C3%BCrgen_Habermas" title="Jürgen Habermas">Habermas</a></li> <li><a href="/wiki/Karl_Ludwig_von_Haller" title="Karl Ludwig von Haller">Haller</a></li> <li><a href="/wiki/Han_Fei" title="Han Fei">Han</a></li> <li><a href="/wiki/H._L._A._Hart" title="H. L. A. Hart">Hart</a></li> <li><a href="/wiki/Georg_Wilhelm_Friedrich_Hegel" title="Georg Wilhelm Friedrich Hegel">Hegel</a></li> <li><a href="/wiki/Thomas_Hobbes" title="Thomas Hobbes">Hobbes</a></li> <li><a href="/wiki/Axel_H%C3%A4gerstr%C3%B6m" title="Axel Hägerström">Hägerström</a></li> <li><a href="/wiki/Georg_Jellinek" title="Georg Jellinek">Jellinek</a></li> <li><a href="/wiki/Rudolf_von_Jhering" title="Rudolf von Jhering">Jhering</a></li> <li><a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Kant</a></li> <li><a href="/wiki/Hans_Kelsen" title="Hans Kelsen">Kelsen</a></li> <li><a href="/wiki/Bruno_Leoni" title="Bruno Leoni">Leoni</a></li> <li><a href="/wiki/Karl_Llewellyn" title="Karl Llewellyn">Llewellyn</a></li> <li><a href="/wiki/Niklas_Luhmann" title="Niklas Luhmann">Luhmann</a></li> <li><a href="/wiki/Joseph_de_Maistre" title="Joseph de Maistre">Maistre</a></li> <li><a href="/wiki/Karl_Marx" title="Karl Marx">Marx</a></li> <li><a href="/wiki/Montesquieu" title="Montesquieu">Montesquieu</a></li> <li><a href="/wiki/Adam_M%C3%BCller" title="Adam Müller">Müller</a></li> <li><a href="/wiki/Martha_Nussbaum" title="Martha Nussbaum">Nussbaum</a></li> <li><a href="/wiki/Karl_Olivecrona" title="Karl Olivecrona">Olivecrona</a></li> <li><a href="/wiki/Evgeny_Pashukanis" title="Evgeny Pashukanis">Pashukanis</a></li> <li><a href="/wiki/Cha%C3%AFm_Perelman" title="Chaïm Perelman">Perelman</a></li> <li><a href="/wiki/Leon_Petra%C5%BCycki" title="Leon Petrażycki">Petrażycki</a></li> <li><a href="/wiki/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Richard_Posner" title="Richard Posner">Posner</a></li> <li><a href="/wiki/Roscoe_Pound" title="Roscoe Pound">Pound</a></li> <li><a href="/wiki/Samuel_von_Pufendorf" title="Samuel von Pufendorf">Pufendorf</a></li> <li><a href="/wiki/Gustav_Radbruch" title="Gustav Radbruch">Radbruch</a></li> <li><a href="/wiki/John_Rawls" title="John Rawls">Rawls</a></li> <li><a href="/wiki/Joseph_Raz" title="Joseph Raz">Raz</a></li> <li><a href="/wiki/Adolf_Reinach" title="Adolf Reinach">Reinach</a></li> <li><a href="/wiki/Karl_Renner" title="Karl Renner">Renner</a></li> <li><a href="/wiki/Alf_Ross" title="Alf Ross">Ross</a></li> <li><a href="/wiki/Rumi" title="Rumi">Rumi</a></li> <li><a href="/wiki/Friedrich_Carl_von_Savigny" title="Friedrich Carl von Savigny">Savigny</a></li> <li><a href="/wiki/Quintus_Mucius_Scaevola_Pontifex" title="Quintus Mucius Scaevola Pontifex">Scaevola</a></li> <li><a href="/wiki/Carl_Schmitt" title="Carl Schmitt">Schmitt</a></li> <li><a href="/wiki/Shang_Yang" title="Shang Yang">Shang</a></li> <li><a href="/wiki/Francisco_Su%C3%A1rez" title="Francisco Suárez">Suárez</a></li> <li><a href="/wiki/Friedrich_Julius_Stahl" title="Friedrich Julius Stahl">Stahl</a></li> <li><a href="/wiki/Roberto_Mangabeira_Unger" title="Roberto Mangabeira Unger">Unger</a></li> <li><a href="/wiki/Eric_Voegelin" title="Eric Voegelin">Voegelin</a></li> <li><a href="/wiki/Michael_Walzer" title="Michael Walzer">Walzer</a></li> <li><a href="/wiki/Max_Weber" title="Max Weber">Weber</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Books_about_jurisprudence" title="Category:Books about jurisprudence">Works</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Laws_(dialogue)" title="Laws (dialogue)">Laws</a></i> <span style="font-size: 85%;">(c. 355 BC)</span></li> <li><i><a href="/wiki/Treatise_on_Law" title="Treatise on Law">Treatise on Law</a></i> <span style="font-size: 85%;">(c. 1270)</span></li> <li><i><a href="/wiki/The_Spirit_of_Law" title="The Spirit of Law">The Spirit of Law</a></i> <span style="font-size: 85%;">(1748)</span></li> <li><i><a href="/wiki/Elements_of_the_Philosophy_of_Right" title="Elements of the Philosophy of Right">Elements of the Philosophy of Right</a></i> <span style="font-size: 85%;">(1820)</span></li> <li><i><a href="/wiki/Pure_Theory_of_Law" title="Pure Theory of Law">Pure Theory of Law</a></i> <span style="font-size: 85%;">(1934)</span></li> <li><i><a href="/wiki/The_Concept_of_Law" title="The Concept of Law">The Concept of Law</a></i> <span style="font-size: 85%;">(1961)</span></li> <li><i><a href="/wiki/Natural_Law_and_Natural_Rights" title="Natural Law and Natural Rights">Natural Law and Natural Rights</a></i> <span style="font-size: 85%;">(1980)</span></li> <li><i><a href="/wiki/Law%27s_Empire" title="Law's Empire">Law's Empire</a></i> <span style="font-size: 85%;">(1986)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Theories_of_law" title="Category:Theories of law">Theories</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Analytical_jurisprudence" title="Analytical 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title="Libertarian theories of law">Libertarian theories of law</a></li> <li><a href="/wiki/Natural_law" title="Natural law">Natural law</a></li> <li><a href="/wiki/Paternalism" title="Paternalism">Paternalism</a></li> <li><a href="/wiki/Utilitarianism" title="Utilitarianism">Utilitarianism</a></li> <li><a href="/wiki/Virtue_jurisprudence" title="Virtue jurisprudence">Virtue jurisprudence</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Constitutional_amendment" title="Constitutional amendment">Constitutional amendment</a></li> <li><i><a href="/wiki/Dharma" title="Dharma">Dharma</a></i></li> <li><i><a href="/wiki/Fa_(concept)" class="mw-redirect" title="Fa (concept)">Fa</a></i></li> <li><a href="/wiki/Judicial_interpretation" title="Judicial interpretation">Judicial interpretation</a></li> <li><a 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href="https://en.wikipedia.org/w/index.php?title=Special:Recentchangeslinked&target=Template:Jurisprudence&hidebots=0">changes</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Karl_Popper30" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Karl_Popper" title="Template:Karl Popper"><abbr title="View this 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knowledge">Growth of knowledge</a></li> <li><a href="/wiki/Open_society" title="Open society">Open society</a></li> <li><a href="/wiki/Popper%27s_experiment" title="Popper's experiment">Popper's experiment</a></li> <li><a href="/wiki/Popper%27s_three_worlds" title="Popper's three worlds">Popper's three worlds</a></li> <li><a href="/wiki/Verisimilitude" title="Verisimilitude">Verisimilitude</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Works</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/The_Logic_of_Scientific_Discovery" title="The Logic of Scientific Discovery">The Logic of Scientific Discovery</a></i> (1934)</li> <li><i><a href="/wiki/The_Poverty_of_Historicism" title="The Poverty of Historicism">The Poverty of Historicism</a></i> (1936)</li> <li><i><a href="/wiki/The_Open_Society_and_Its_Enemies" title="The Open Society and Its Enemies">The Open Society and Its Enemies</a></i> (1945)</li> <li><i><a href="/wiki/Conjectures_and_Refutations" class="mw-redirect" title="Conjectures and Refutations">Conjectures and Refutations</a></i> (1963)</li> <li><i><a href="/wiki/Unended_Quest" title="Unended Quest">Unended Quest</a></i> (1976)</li> <li><i><a href="/wiki/The_Myth_of_the_Framework" title="The Myth of the Framework">The Myth of the Framework</a></i> (1994)</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Positivism47" style="padding:3px"><table class="nowraplinks mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Positivism" title="Template:Positivism"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Positivism" title="Template talk:Positivism"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Positivism" title="Special:EditPage/Template:Positivism"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Positivism47" style="font-size:114%;margin:0 4em"><a href="/wiki/Positivism" title="Positivism">Positivism</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:12.0em">Perspectives</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antihumanism" title="Antihumanism">Antihumanism</a></li> <li><a href="/wiki/Empiricism" title="Empiricism">Empiricism</a></li> <li><a href="/wiki/Rationalism" title="Rationalism">Rationalism</a></li> <li><a href="/wiki/Scientism" title="Scientism">Scientism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Declinations</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Legal_positivism" title="Legal positivism">Legal positivism</a></li> <li><a href="/wiki/Logical_positivism" title="Logical positivism">Logical positivism</a></li> <li><a href="/wiki/Positivist_school_(criminology)" title="Positivist school (criminology)">Positivist school</a></li> <li><a href="/wiki/Postpositivism" title="Postpositivism">Postpositivism</a></li> <li><a href="/wiki/Sociological_positivism" class="mw-redirect" title="Sociological positivism">Sociological positivism</a></li> <li><a href="/wiki/Ernst_Mach" title="Ernst Mach">Machian positivism (empirio-criticism)</a></li> <li><a href="/wiki/Rankean_historical_positivism" class="mw-redirect" title="Rankean historical positivism">Rankean historical positivism</a></li> <li><a href="/wiki/Positivism_in_Poland" class="mw-redirect" title="Positivism in Poland">Polish positivism</a></li> <li><a href="/wiki/Russian_Machism" title="Russian Machism">Russian Machism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Principal concepts</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Consilience" title="Consilience">Consilience</a></li> <li><a href="/wiki/Demarcation_problem" title="Demarcation problem">Demarcation</a></li> <li><a href="/wiki/Evidence" title="Evidence">Evidence</a></li> <li><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">Induction</a></li> <li><a href="/wiki/Justification_(epistemology)" title="Justification (epistemology)">Justification</a></li> <li><a href="/wiki/Pseudoscience" title="Pseudoscience">Pseudoscience</a></li> <li><a href="/wiki/Vienna_Circle#Critique_of_metaphysics" title="Vienna Circle">Critique of metaphysics</a></li> <li><a href="/wiki/Unity_of_science" title="Unity of science">Unity of science</a></li> <li><a href="/wiki/Verificationism" title="Verificationism">Verificationism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Antitheses</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antipositivism" title="Antipositivism">Antipositivism</a></li> <li><a href="/wiki/Confirmation_holism" title="Confirmation holism">Confirmation holism</a></li> <li><a href="/wiki/Critical_theory" title="Critical theory">Critical theory</a></li> <li><a class="mw-selflink selflink">Falsifiability</a></li> <li><span title="German-language text"><i lang="de"><a href="/wiki/Geisteswissenschaft" title="Geisteswissenschaft">Geisteswissenschaft</a></i></span></li> <li><a href="/wiki/Hermeneutics" title="Hermeneutics">Hermeneutics</a></li> <li><a href="/wiki/Historicism" title="Historicism">Historicism</a></li> <li><a href="/wiki/Historism" title="Historism">Historism</a></li> <li><a href="/wiki/Human_science" title="Human science">Human science</a></li> <li><a href="/wiki/Humanities" title="Humanities">Humanities</a></li> <li><a href="/wiki/Metaphysics" title="Metaphysics">Metaphysics</a></li> <li><a href="/wiki/Methodological_dualism" title="Methodological dualism">Methodological dualism</a></li> <li><a href="/wiki/Problem_of_induction" title="Problem of induction">Problem of induction</a></li> <li><a href="/wiki/Reflectivism" title="Reflectivism">Reflectivism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Related <a href="/wiki/Paradigm_shift" title="Paradigm shift">paradigm shifts</a><br />in the <a href="/wiki/History_of_science" title="History of science">history of science</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Non-Euclidean_geometry" title="Non-Euclidean geometry">Non-Euclidean geometry</a> (1830s)</li> <li><a href="/wiki/Uncertainty_principle" title="Uncertainty principle">Uncertainty principle</a> (1927)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Behavioralism" title="Behavioralism">Behavioralism</a> <ul><li><a href="/wiki/Post-behavioralism" title="Post-behavioralism">Post-behavioralism</a></li></ul></li> <li><a href="/wiki/Critical_rationalism" title="Critical rationalism">Critical rationalism</a></li> <li><a href="/wiki/Criticism_of_science" title="Criticism of science">Criticism of science</a></li> <li><a href="/wiki/Epistemology" title="Epistemology">Epistemology</a> <ul><li><a href="/wiki/Epistemological_anarchism" class="mw-redirect" title="Epistemological anarchism">anarchism</a></li> <li><a href="/wiki/Epistemological_idealism" title="Epistemological idealism">idealism</a></li> <li><a href="/wiki/Epistemological_nihilism" class="mw-redirect" title="Epistemological nihilism">nihilism</a></li> <li><a href="/wiki/Epistemological_pluralism" title="Epistemological pluralism">pluralism</a></li> <li><a href="/wiki/Epistemological_realism" title="Epistemological realism">realism</a></li></ul></li> <li><a href="/wiki/Holism" title="Holism">Holism</a></li> <li><a href="/wiki/Instrumentalism" title="Instrumentalism">Instrumentalism</a></li> <li><a href="/wiki/Modernism" title="Modernism">Modernism</a></li> <li><a href="/wiki/Naturalism_(literature)" title="Naturalism (literature)">Naturalism in literature</a></li> <li><a href="/wiki/Nomothetic_and_idiographic" title="Nomothetic and idiographic">Nomothetic–idiographic distinction</a></li> <li><a href="/wiki/Objectivity_(science)" title="Objectivity (science)">Objectivity in science</a></li> <li><a href="/wiki/Operationalization" title="Operationalization">Operationalism</a></li> <li><a href="/wiki/Phenomenalism" title="Phenomenalism">Phenomenalism</a></li> <li><a href="/wiki/Philosophy_of_science" title="Philosophy of science">Philosophy of science</a> <ul><li><a href="/wiki/Deductive-nomological_model" title="Deductive-nomological model">Deductive-nomological model</a></li> <li><a href="/wiki/Ramsey_sentence" title="Ramsey sentence">Ramsey sentence</a></li> <li><a href="/wiki/Sense_data" title="Sense data">Sense-data theory</a></li></ul></li> <li><a href="/wiki/Qualitative_research" title="Qualitative research">Qualitative research</a></li> <li><a href="/wiki/Relationship_between_religion_and_science" title="Relationship between religion and science">Relationship between religion and science</a></li> <li><a href="/wiki/Sociology" title="Sociology">Sociology</a></li> <li><a href="/wiki/Social_science" title="Social science">Social science</a> <ul><li><a href="/wiki/Philosophy_of_social_science" title="Philosophy of social science">Philosophy</a></li></ul></li> <li><a href="/wiki/Structural_functionalism" title="Structural functionalism">Structural functionalism</a></li> <li><a href="/wiki/Structuralism" title="Structuralism">Structuralism</a></li> <li><a href="/wiki/Structuration_theory" title="Structuration theory">Structuration theory</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Positivist-related_debate47" style="font-size:114%;margin:0 4em">Positivist-related debate</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:12.0em">Method</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><span title="German-language text"><i lang="de"><a href="/wiki/Methodenstreit" title="Methodenstreit">Methodenstreit</a></i></span> (1890s)</li> <li><span title="German-language text"><i lang="de"><a href="/wiki/Werturteilsstreit" title="Werturteilsstreit">Werturteilsstreit</a></i></span> (1909–1959)</li> <li><span title="German-language text"><i lang="de"><a href="/wiki/Positivism_dispute" title="Positivism dispute">Positivismusstreit</a></i></span> (1960s)</li> <li><a href="/wiki/Great_Debates_(international_relations)#Fourth_Great_Debate" title="Great Debates (international relations)">Fourth Great Debate in international relations</a> (1980s)</li> <li><a href="/wiki/Science_wars" title="Science wars">Science wars</a> (1990s)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Contributions</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/The_Course_in_Positive_Philosophy" class="mw-redirect" title="The Course in Positive Philosophy">The Course in Positive Philosophy</a></i> (1830)</li> <li><i><a href="/wiki/A_General_View_of_Positivism" title="A General View of Positivism">A General View of Positivism</a></i> (1848)</li> <li><i><a href="/wiki/Critical_History_of_Philosophy" class="mw-redirect" title="Critical History of Philosophy">Critical History of Philosophy</a></i> (1869)</li> <li><i><a href="/wiki/Idealism_and_Positivism" class="mw-redirect" title="Idealism and Positivism">Idealism and Positivism</a></i> (1879–1884)</li> <li><i><a href="/wiki/The_Analysis_of_Sensations" class="mw-redirect" title="The Analysis of Sensations">The Analysis of Sensations</a></i> (1886)</li> <li><i><a href="/wiki/The_Logic_of_Modern_Physics" title="The Logic of Modern Physics">The Logic of Modern Physics</a></i> (1927)</li> <li><i><a href="/wiki/Language,_Truth,_and_Logic" title="Language, Truth, and Logic">Language, Truth, and Logic</a></i> (1936)</li> <li><i><a href="/wiki/The_Two_Cultures" title="The Two Cultures">The Two Cultures</a></i> (1959)</li> <li><i><a href="/wiki/The_Universe_in_a_Nutshell" title="The Universe in a Nutshell">The Universe in a Nutshell</a></i> (2001)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Proponents</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Richard_Avenarius" title="Richard Avenarius">Richard Avenarius</a></li> <li><a href="/wiki/A._J._Ayer" title="A. J. Ayer">A. J. Ayer</a></li> <li><a href="/wiki/Alexander_Bogdanov" title="Alexander Bogdanov">Alexander Bogdanov</a></li> <li><a href="/wiki/Percy_Williams_Bridgman" title="Percy Williams Bridgman">Percy Williams Bridgman</a></li> <li><a href="/wiki/Auguste_Comte" title="Auguste Comte">Auguste Comte</a></li> <li><a href="/wiki/Eugen_D%C3%BChring" title="Eugen Dühring">Eugen Dühring</a></li> <li><a href="/wiki/%C3%89mile_Durkheim" title="Émile Durkheim">Émile Durkheim</a></li> <li><a href="/wiki/Stephen_Hawking" title="Stephen Hawking">Stephen Hawking</a></li> <li><a href="/wiki/Ernst_Laas" title="Ernst Laas">Ernst Laas</a></li> <li><a href="/wiki/Ernst_Mach" title="Ernst Mach">Ernst Mach</a></li> <li><a href="/wiki/C._P._Snow" title="C. P. Snow">C. P. Snow</a></li> <li><a href="/wiki/Berlin_Circle" title="Berlin Circle">Berlin Circle</a></li> <li><a href="/wiki/Vienna_Circle" title="Vienna Circle">Vienna Circle</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Criticism</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Materialism_and_Empirio-criticism" title="Materialism and Empirio-criticism">Materialism and Empirio-criticism</a></i> (1909)</li> <li><i><a href="/wiki/History_and_Class_Consciousness" title="History and Class Consciousness">History and Class Consciousness</a></i> (1923)</li> <li><i><a href="/wiki/The_Logic_of_Scientific_Discovery" title="The Logic of Scientific Discovery">The Logic of Scientific Discovery</a></i> (1934)</li> <li><i><a href="/wiki/The_Poverty_of_Historicism" title="The Poverty of Historicism">The Poverty of Historicism</a></i> (1936)</li> <li><i><a href="/wiki/World_Hypotheses" title="World Hypotheses">World Hypotheses</a></i> (1942)</li> <li><i><a href="/wiki/Two_Dogmas_of_Empiricism" title="Two Dogmas of Empiricism">Two Dogmas of Empiricism</a></i> (1951)</li> <li><i><a href="/wiki/Truth_and_Method" title="Truth and Method">Truth and Method</a></i> (1960)</li> <li><i><a href="/wiki/The_Structure_of_Scientific_Revolutions" title="The Structure of Scientific Revolutions">The Structure of Scientific Revolutions</a></i> (1962)</li> <li><i><a href="/wiki/Conjectures_and_Refutations" class="mw-redirect" title="Conjectures and Refutations">Conjectures and Refutations</a></i> (1963)</li> <li><i><a href="/wiki/One-Dimensional_Man" title="One-Dimensional Man">One-Dimensional Man</a></i> (1964)</li> <li><i><a href="/wiki/Knowledge_and_Human_Interests" title="Knowledge and Human Interests">Knowledge and Human Interests</a></i> (1968)</li> <li><i><a href="/wiki/The_Poverty_of_Theory" class="mw-redirect" title="The Poverty of Theory">The Poverty of Theory</a></i> (1978)</li> <li><i><a href="/wiki/The_Scientific_Image" class="mw-redirect" title="The Scientific Image">The Scientific Image</a></i> (1980)</li> <li><i><a href="/wiki/The_Rhetoric_of_Economics" class="mw-redirect" title="The Rhetoric of Economics">The Rhetoric of Economics</a></i> (1986)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Critics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Theodor_W._Adorno" title="Theodor W. Adorno">Theodor W. Adorno</a></li> <li><a href="/wiki/Gaston_Bachelard" title="Gaston Bachelard">Gaston Bachelard</a></li> <li><a href="/wiki/Mario_Bunge" title="Mario Bunge">Mario Bunge</a></li> <li><a href="/wiki/Wilhelm_Dilthey" title="Wilhelm Dilthey">Wilhelm Dilthey</a></li> <li><a href="/wiki/Paul_Feyerabend" title="Paul Feyerabend">Paul Feyerabend</a></li> <li><a href="/wiki/Hans-Georg_Gadamer" title="Hans-Georg Gadamer">Hans-Georg Gadamer</a></li> <li><a href="/wiki/J%C3%BCrgen_Habermas" title="Jürgen Habermas">Jürgen Habermas</a></li> <li><a href="/wiki/Thomas_Kuhn" title="Thomas Kuhn">Thomas Kuhn</a></li> <li><a href="/wiki/Vladimir_Lenin" title="Vladimir Lenin">Vladimir Lenin</a></li> <li><a href="/wiki/Gy%C3%B6rgy_Luk%C3%A1cs" title="György Lukács">György Lukács</a></li> <li><a href="/wiki/Herbert_Marcuse" title="Herbert Marcuse">Herbert Marcuse</a></li> <li><a href="/wiki/Deirdre_McCloskey" title="Deirdre McCloskey">Deirdre McCloskey</a></li> <li><a href="/wiki/Stephen_Pepper" title="Stephen Pepper">Stephen Pepper</a></li> <li><a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">Willard Van Orman Quine</a></li> <li><a href="/wiki/E._P._Thompson" title="E. P. Thompson">E. P. Thompson</a></li> <li><a href="/wiki/Bas_van_Fraassen" title="Bas van Fraassen">Bas van Fraassen</a></li> <li><a href="/wiki/Max_Weber" title="Max Weber">Max Weber</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:12.0em">Concepts in contention</th><td class="navbox-list-with-group navbox-list navbox-even" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Knowledge" title="Knowledge">Knowledge</a></li> <li><a href="/wiki/Objectivity_(philosophy)" class="mw-redirect" title="Objectivity (philosophy)">Objectivity</a></li> <li><span title="Ancient Greek (to 1453)-language romanization"><i lang="grc-Latn"><a href="/wiki/Phronesis" title="Phronesis">Phronesis</a></i></span></li> <li><a href="/wiki/Truth" title="Truth">Truth</a></li> <li><span title="German-language text"><i lang="de"><a href="/wiki/Verstehen" title="Verstehen">Verstehen</a></i></span></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div><a href="/wiki/Category:Positivism" title="Category:Positivism">Category</a></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" aria-label="Navbox539" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a>: National <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q220888#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Falsifikation"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4197286-7">Germany</a></span></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐5f6c89f4bf‐vxblq Cached time: 20250401164626 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 2.380 seconds Real time usage: 2.925 seconds Preprocessor visited node count: 25609/1000000 Post‐expand include size: 486055/2097152 bytes Template argument size: 81681/2097152 bytes Highest expansion depth: 19/100 Expensive parser function count: 35/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 492680/5000000 bytes Lua time usage: 1.411/10.000 seconds Lua memory usage: 16896554/52428800 bytes Lua Profile: ? 300 ms 19.2% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::callParserFunction 140 ms 9.0% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::getExpandedArgument 140 ms 9.0% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::find 120 ms 7.7% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::getAllExpandedArguments 100 ms 6.4% recursiveClone <mwInit.lua:45> 100 ms 6.4% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::redirectTarget 100 ms 6.4% dataWrapper <mw.lua:672> 80 ms 5.1% MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::gsub 80 ms 5.1% select_one <Module:Citation/CS1/Utilities:429> 60 ms 3.8% [others] 340 ms 21.8% Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 2420.440 1 -total 17.13% 414.539 82 Template:Cite_book 15.32% 370.738 30 Template:Annotated_link 14.24% 344.605 110 Template:Sfn 12.88% 311.690 2 Template:Reflist 5.65% 136.845 7 Template:Navbox 5.28% 127.917 27 Template:Cite_journal 5.16% 124.809 80 Template:Refn 4.95% 119.804 9 Template:Cite_web 4.25% 102.965 1 Template:Short_description --> <!-- Saved in parser cache with key enwiki:pcache:11283:|#|:idhash:canonical and timestamp 20250401164626 and revision id 1282380227. 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<script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-545c4fcd97-6z2rx","wgBackendResponseTime":248,"wgPageParseReport":{"limitreport":{"cputime":"2.380","walltime":"2.925","ppvisitednodes":{"value":25609,"limit":1000000},"postexpandincludesize":{"value":486055,"limit":2097152},"templateargumentsize":{"value":81681,"limit":2097152},"expansiondepth":{"value":19,"limit":100},"expensivefunctioncount":{"value":35,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":492680,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 2420.440 1 -total"," 17.13% 414.539 82 Template:Cite_book"," 15.32% 370.738 30 Template:Annotated_link"," 14.24% 344.605 110 Template:Sfn"," 12.88% 311.690 2 Template:Reflist"," 5.65% 136.845 7 Template:Navbox"," 5.28% 127.917 27 Template:Cite_journal"," 5.16% 124.809 80 Template:Refn"," 4.95% 119.804 9 Template:Cite_web"," 4.25% 102.965 1 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[\"CITEREFEinstein2010\"] = 1,\n [\"CITEREFElenaLenski2003\"] = 1,\n [\"CITEREFElginSober2017\"] = 1,\n [\"CITEREFElkana2018\"] = 1,\n [\"CITEREFFeigl1978\"] = 1,\n [\"CITEREFFeldmanWilliams2007\"] = 1,\n [\"CITEREFFergusonHeene2012\"] = 1,\n [\"CITEREFFeyerabend1978\"] = 1,\n [\"CITEREFFeyerabend1978b\"] = 1,\n [\"CITEREFFeyerabend1981\"] = 1,\n [\"CITEREFFeyerabend1993\"] = 1,\n [\"CITEREFFine2019\"] = 1,\n [\"CITEREFFisher1930\"] = 1,\n [\"CITEREFGarcia-Duque2002\"] = 1,\n [\"CITEREFGarcia2006\"] = 1,\n [\"CITEREFGawronskiBodenhausen2015\"] = 1,\n [\"CITEREFGelmanShalizi2013\"] = 1,\n [\"CITEREFGrayling2019\"] = 1,\n [\"CITEREFGreenland1998\"] = 1,\n [\"CITEREFHansson\"] = 1,\n [\"CITEREFHarding1976\"] = 1,\n [\"CITEREFHawthorne2018\"] = 1,\n [\"CITEREFHenderson2018\"] = 1,\n [\"CITEREFHowson2000\"] = 1,\n [\"CITEREFHume1896\"] = 1,\n [\"CITEREFJohansson2015\"] = 1,\n [\"CITEREFJohnson-Laird2006\"] = 1,\n [\"CITEREFKant1787\"] = 1,\n [\"CITEREFKasavinBlinov2012\"] = 1,\n [\"CITEREFKaye2005\"] = 1,\n [\"CITEREFKeuth2005\"] = 1,\n [\"CITEREFKoterski2011\"] = 1,\n [\"CITEREFKrafka2002\"] = 1,\n [\"CITEREFKuhn1970\"] = 1,\n [\"CITEREFKuhn1974\"] = 1,\n [\"CITEREFKuhn1996\"] = 1,\n [\"CITEREFLakatos1974\"] = 1,\n [\"CITEREFLakatos1978\"] = 1,\n [\"CITEREFLange2008\"] = 1,\n [\"CITEREFLehmann1993\"] = 1,\n [\"CITEREFLeitgebCarus2021\"] = 1,\n [\"CITEREFMacLennan2021\"] = 1,\n [\"CITEREFMartin2017\"] = 1,\n [\"CITEREFMaxwell1974\"] = 1,\n [\"CITEREFMaxwell2017\"] = 1,\n [\"CITEREFMayo2018\"] = 1,\n [\"CITEREFMcGinn2002\"] = 1,\n [\"CITEREFMcLean_v._Arkansas1982\"] = 1,\n [\"CITEREFMerritt2017\"] = 1,\n [\"CITEREFMiller1994\"] = 1,\n [\"CITEREFMiller2000\"] = 1,\n [\"CITEREFMiller2006\"] = 1,\n [\"CITEREFMiller2014\"] = 1,\n [\"CITEREFMorrisBrown2021\"] = 1,\n [\"CITEREFMuehlenbein2010\"] = 1,\n [\"CITEREFMusgrave1976\"] = 1,\n [\"CITEREFNiiniluoto1984\"] = 1,\n [\"CITEREFNolaSankey2014\"] = 1,\n [\"CITEREFPennock2000\"] = 1,\n [\"CITEREFPera1989\"] = 1,\n [\"CITEREFPloch2003\"] = 1,\n [\"CITEREFPopper1959\"] = 1,\n [\"CITEREFPopper1962\"] = 1,\n [\"CITEREFPopper1972\"] = 1,\n [\"CITEREFPopper1974\"] = 1,\n [\"CITEREFPopper1976\"] = 1,\n [\"CITEREFPopper1978\"] = 1,\n [\"CITEREFPopper1980\"] = 1,\n [\"CITEREFPopper1982b\"] = 1,\n [\"CITEREFPopper1983\"] = 1,\n [\"CITEREFPopper1989\"] = 1,\n [\"CITEREFPopper1992\"] = 1,\n [\"CITEREFPopper1994\"] = 1,\n [\"CITEREFPopper1995\"] = 1,\n [\"CITEREFPopper2009\"] = 1,\n [\"CITEREFRescher1977\"] = 1,\n [\"CITEREFRescher1989\"] = 1,\n [\"CITEREFRidley2003\"] = 1,\n [\"CITEREFRosende2009\"] = 1,\n [\"CITEREFRudge2005\"] = 1,\n [\"CITEREFRule_702_Notes2011\"] = 1,\n [\"CITEREFRules_of_Evidence2017\"] = 1,\n [\"CITEREFRuse2010\"] = 1,\n [\"CITEREFRussell1948\"] = 1,\n [\"CITEREFRussell1998\"] = 1,\n [\"CITEREFRynasiewicz1983\"] = 1,\n [\"CITEREFShea2020\"] = 1,\n [\"CITEREFSimon1985\"] = 1,\n [\"CITEREFSimonGroen1973\"] = 1,\n [\"CITEREFSmith2000\"] = 1,\n [\"CITEREFSokalBricmont1998\"] = 1,\n [\"CITEREFStove1982\"] = 1,\n [\"CITEREFTheobald2006\"] = 1,\n [\"CITEREFThompson1981\"] = 1,\n [\"CITEREFThornton2007\"] = 1,\n [\"CITEREFThornton2016\"] = 1,\n [\"CITEREFUebel2019\"] = 1,\n [\"CITEREFUnderstanding_Science2021\"] = 1,\n [\"CITEREFUrban2016\"] = 1,\n [\"CITEREFVereGibson2019\"] = 1,\n [\"CITEREFWaddington1959\"] = 1,\n [\"CITEREFWallis2005\"] = 1,\n [\"CITEREFWatkins1970\"] = 1,\n [\"CITEREFWatkins1974\"] = 1,\n [\"CITEREFWatkins1984\"] = 1,\n [\"CITEREFWatkins1989\"] = 1,\n [\"CITEREFWigmore2017\"] = 1,\n [\"CITEREFWilkinson2013\"] = 1,\n [\"CITEREFWoit2018\"] = 1,\n [\"CITEREFYehuda2018\"] = 1,\n [\"CITEREFZahar1983\"] = 1,\n [\"Dogmatic_falsificationism\"] = 1,\n [\"Falsificationism\"] = 1,\n [\"Naive_falsificationism\"] = 1,\n [\"Sophisticated_falsificationism\"] = 1,\n}\ntemplate_list = table#1 {\n [\"Anchor\"] = 1,\n [\"Annotated image\"] = 1,\n [\"Annotated link\"] = 30,\n [\"Authority control\"] = 1,\n [\"Blockquote\"] = 4,\n [\"Circa\"] = 1,\n [\"Citation 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shortened footnotes\"] = 1,\n [\"Wikicite\"] = 2,\n [\"Wiktionary-inline\"] = 1,\n}\narticle_whitelist = table#1 {\n}\nciteref_patterns = table#1 {\n}\n","limitreport-profile":[["?","300","19.2"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::callParserFunction","140","9.0"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::getExpandedArgument","140","9.0"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::find","120","7.7"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::getAllExpandedArguments","100","6.4"],["recursiveClone \u003CmwInit.lua:45\u003E","100","6.4"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::redirectTarget","100","6.4"],["dataWrapper \u003Cmw.lua:672\u003E","80","5.1"],["MediaWiki\\Extension\\Scribunto\\Engines\\LuaSandbox\\LuaSandboxCallback::gsub","80","5.1"],["select_one 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