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id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Affirming the consequent</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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href="https://es.wikipedia.org/wiki/Afirmaci%C3%B3n_del_consecuente" title="Afirmación del consecuente – Spanish" lang="es" hreflang="es" data-title="Afirmación del consecuente" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D8%B5%D8%AF%DB%8C%D9%82_%D8%AA%D8%A7%D9%84%DB%8C" title="تصدیق تالی – Persian" lang="fa" hreflang="fa" data-title="تصدیق تالی" 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/Affirmation_du_cons%C3%A9quent" title="Affirmation du conséquent – French" lang="fr" hreflang="fr" data-title="Affirmation du conséquent" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%9B%84%EA%B1%B4%EA%B8%8D%EC%A0%95%EC%9D%98_%EC%98%A4%EB%A5%98" title="후건긍정의 오류 – Korean" lang="ko" hreflang="ko" data-title="후건긍정의 오류" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Afirmiranje_konsekvensa" title="Afirmiranje konsekvensa – Croatian" lang="hr" hreflang="hr" data-title="Afirmiranje konsekvensa" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/J%C3%A1tun_bakli%C3%B0ar" title="Játun bakliðar – Icelandic" lang="is" hreflang="is" data-title="Játun bakliðar" 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/Affermazione_del_conseguente" title="Affermazione del conseguente – Italian" lang="it" hreflang="it" data-title="Affermazione del conseguente" 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%90%D7%99%D7%A9%D7%95%D7%A8_%D7%94%D7%A1%D7%95%D7%92%D7%A8" title="אישור הסוגר – Hebrew" lang="he" hreflang="he" data-title="אישור הסוגר" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%BE%8C%E4%BB%B6%E8%82%AF%E5%AE%9A" 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For the Islamic doctrine, see <a href="/wiki/Taqiya" class="mw-redirect" title="Taqiya">Taqiya</a>.</div> <p class="mw-empty-elt"> </p><p>In <a href="/wiki/Propositional_calculus" title="Propositional calculus">propositional logic</a>, <b>affirming the consequent</b> (also known as <b>converse error</b>, <b>fallacy of the converse</b>, or <b>confusion of <a href="/wiki/Necessity_and_sufficiency" title="Necessity and sufficiency">necessity and sufficiency</a></b>) is a <a href="/wiki/Formal_fallacy" title="Formal fallacy">formal fallacy</a> (or an <a href="/wiki/Validity_(logic)" title="Validity (logic)">invalid</a> form of argument) that is committed when, in the context of an <a href="/wiki/Indicative_conditional" title="Indicative conditional">indicative conditional</a> statement, it is stated that because the <a href="/wiki/Consequent" title="Consequent">consequent</a> is true, therefore the <a href="/wiki/Antecedent_(logic)" title="Antecedent (logic)">antecedent</a> is true. It takes on the following form: </p> <dl><dd><dl><dd>If <i>P</i>, then <i>Q</i>.</dd> <dd><i>Q</i>.</dd> <dd>Therefore, <i>P</i>.</dd></dl></dd></dl> <p>which may also be phrased as </p> <dl><dd><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\rightarrow Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\rightarrow Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86439ea857adc8eaec93c4d14270b8ba6bd2a6a9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\rightarrow Q}"></span> (P implies Q)</dd> <dd><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 \therefore Q\rightarrow P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>∴</mo> <mi>Q</mi> <mo stretchy="false">→</mo> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \therefore Q\rightarrow P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c5681578a6e83279b1386b588340e49d5179dd9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.393ex; height:2.509ex;" alt="{\displaystyle \therefore Q\rightarrow P}"></span> (therefore, Q implies P)</dd></dl> <p>For example, it may be true that a broken lamp would cause a room to become dark. It is not true, however, that a dark room implies the presence of a broken lamp. There may be no lamp (or any light source). The lamp may also be off. In other words, the consequent (a dark room) can have other antecedents (no lamp, off-lamp), and so can still be true even if the stated antecedent is not.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Converse errors are common in everyday thinking and communication and can result from, among other causes, communication issues, misconceptions about logic, and failure to consider other causes.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>A related fallacy is <a href="/wiki/Denying_the_antecedent" title="Denying the antecedent">denying the antecedent</a>. Two related <i>valid</i> forms of logical argument include <i><a href="/wiki/Modus_tollens" title="Modus tollens">modus tollens</a></i> (denying the consequent) and <i><a href="/wiki/Modus_ponens" title="Modus ponens">modus ponens</a></i> (affirming the antecedent).<sup id="cite_ref-Hurley2012_3-0" class="reference"><a href="#cite_note-Hurley2012-3"><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="Formal_description">Formal description</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Affirming_the_consequent&action=edit&section=1" title="Edit section: Formal description"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Affirming the consequent is the action of taking a true 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 P\to Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\to Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7cad5b2c2991ae1dbded560c5d875fbf49fe8ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\to Q}"></span> and invalidly concluding its converse <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\to P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo stretchy="false">→</mo> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q\to P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74896ed92ddb33fcfffa42ed6ffdde014d7d64e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle Q\to P}"></span>. The name <i>affirming the <a href="/wiki/Consequent" title="Consequent">consequent</a></i> derives from using the consequent, <i>Q</i>, of <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\to Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\to Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7cad5b2c2991ae1dbded560c5d875fbf49fe8ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\to Q}"></span>, to conclude the antecedent <i>P</i>. This fallacy can be summarized formally as <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\to Q,Q)\to P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> <mo>,</mo> <mi>Q</mi> <mo stretchy="false">)</mo> <mo stretchy="false">→</mo> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (P\to Q,Q)\to P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1cab53d19409a86702258053d4581d1d92e195e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.239ex; height:2.843ex;" alt="{\displaystyle (P\to Q,Q)\to P}"></span> or, alternatively, <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 {\frac {P\to Q,Q}{\therefore P}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> <mo>,</mo> <mi>Q</mi> </mrow> <mrow> <mo>∴</mo> <mi>P</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {P\to Q,Q}{\therefore P}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fed5e8248e01010341c552b182ed551065ccfc60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:10.906ex; height:5.509ex;" alt="{\displaystyle {\frac {P\to Q,Q}{\therefore P}}}"></span>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> The root cause of such a logical error is sometimes failure to realize that just because <i>P</i> is a <i>possible</i> condition for <i>Q</i>, <i>P</i> may not be the <i>only</i> condition for <i>Q</i>, i.e. <i>Q</i> may follow from another condition as well.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>Affirming the consequent can also result from overgeneralizing the experience of many statements <i>having</i> true converses. If <i>P</i> and <i>Q</i> are "equivalent" statements, i.e. <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\leftrightarrow Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">↔</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\leftrightarrow Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/43e9c3ed4d9717db81fc3794218f377bea4f6eb0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\leftrightarrow Q}"></span>, it <i>is</i> possible to infer <i>P</i> under the condition <i>Q</i>. For example, the statements "It is August 13, so it is my birthday" <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\to Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">→</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\to Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7cad5b2c2991ae1dbded560c5d875fbf49fe8ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\to Q}"></span> and "It is my birthday, so it is August 13" <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\to P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo stretchy="false">→</mo> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q\to P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74896ed92ddb33fcfffa42ed6ffdde014d7d64e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle Q\to P}"></span> are equivalent and both true consequences of the statement "August 13 is my birthday" (an abbreviated form of <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\leftrightarrow Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">↔</mo> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P\leftrightarrow Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/43e9c3ed4d9717db81fc3794218f377bea4f6eb0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.198ex; height:2.509ex;" alt="{\displaystyle P\leftrightarrow Q}"></span>). </p><p>Of the possible forms of "mixed <a href="/wiki/Hypothetical_syllogism" title="Hypothetical syllogism">hypothetical syllogisms</a>," two are valid and two are invalid. Affirming the antecedent (<a href="/wiki/Modus_ponens" title="Modus ponens">modus ponens</a>) and denying the consequent (<a href="/wiki/Modus_tollens" title="Modus tollens">modus tollens</a>) are valid. Affirming the consequent and <a href="/wiki/Denying_the_antecedent" title="Denying the antecedent">denying the antecedent</a> are invalid.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Additional_examples">Additional examples</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Affirming_the_consequent&action=edit&section=2" title="Edit section: Additional examples"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Unreferenced_section plainlinks metadata ambox ambox-content ambox-Unreferenced" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>does not <a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources">cite</a> any <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">sources</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Affirming_the_consequent" title="Special:EditPage/Affirming the consequent">improve this section</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and <a href="/wiki/Wikipedia:Verifiability#Burden_of_evidence" title="Wikipedia:Verifiability">removed</a>.</span> <span class="date-container"><i>(<span class="date">December 2023</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> <p><b>Example 1</b> </p><p>One way to demonstrate the invalidity of this argument form is with a counterexample with true premises but an obviously false conclusion. For example: </p> <dl><dd>If someone lives in <a href="/wiki/San_Diego" title="San Diego">San Diego</a>, then they live in <a href="/wiki/California" title="California">California</a>.</dd> <dd>Joe lives in California.</dd> <dd>Therefore, Joe lives in San Diego.</dd></dl> <p>There are many places to live in California other than San Diego. On the other hand, one can affirm with certainty that "if someone does not live in California" (<i>non-Q</i>), then "this person does not live in San Diego" (<i>non-P</i>). This is the <a href="/wiki/Contrapositive" class="mw-redirect" title="Contrapositive">contrapositive</a> of the first statement, and it must be true if and only if the original statement is true. </p><p><b>Example 2</b> </p> <dl><dd>If an animal is a dog, then it has four legs.</dd> <dd>My cat has four legs.</dd> <dd>Therefore, my cat is a dog.</dd></dl> <p>Here, it is immediately intuitive that any number of other antecedents ("If an animal is a deer...", "If an animal is an elephant...", "If an animal is a moose...", <i>etc.</i>) can give rise to the consequent ("then it has four legs"), and that it is preposterous to suppose that having four legs <i>must</i> imply that the animal is a dog and nothing else. This is useful as a teaching example since most people can immediately recognize that the conclusion reached must be wrong (intuitively, a cat cannot be a dog), and that the method by which it was reached must therefore be fallacious. </p><p><b>Example 3</b> </p><p>In <i><a href="/wiki/Catch-22" title="Catch-22">Catch-22</a></i>,<sup id="cite_ref-:0_8-0" class="reference"><a href="#cite_note-:0-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> the chaplain is interrogated for supposedly being "Washington Irving"/"Irving Washington", who has been blocking out large portions of soldiers' letters home. The colonel has found such a letter, but with the chaplain's name signed. </p> <dl><dd>"You can read, though, can't you?" the colonel persevered sarcastically. "The author signed his name."</dd> <dd>"That's my name there."</dd> <dd>"Then you wrote it. <a href="/wiki/Q.E.D." title="Q.E.D.">Q.E.D.</a>"</dd></dl> <p><i>P</i> in this case is 'The chaplain signs his own name', and <i>Q</i> 'The chaplain's name is written'. The chaplain's name may be written, but he did not necessarily write it, as the colonel falsely concludes.<i><sup id="cite_ref-:0_8-1" class="reference"><a href="#cite_note-:0-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></i> </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=Affirming_the_consequent&action=edit&section=3" 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: 20em;"> <ul><li><a href="/wiki/Abductive_reasoning" title="Abductive reasoning">Abductive reasoning</a></li> <li><a href="/wiki/Appeal_to_consequences" title="Appeal to consequences">Appeal to consequences</a></li> <li><a href="/wiki/Confusion_of_the_inverse" title="Confusion of the inverse">Confusion of the inverse</a></li> <li><a href="/wiki/Denying_the_antecedent" title="Denying the antecedent">Denying the antecedent</a></li> <li><a href="/wiki/Fallacies_of_illicit_transference" title="Fallacies of illicit transference">Fallacies of illicit transference</a></li> <li><a href="/wiki/Fallacy_of_the_single_cause" title="Fallacy of the single cause">Fallacy of the single cause</a></li> <li><a href="/wiki/Fallacy_of_the_undistributed_middle" title="Fallacy of the undistributed middle">Fallacy of the undistributed middle</a></li> <li><i><a href="/wiki/Modus_ponens" title="Modus ponens">Modus ponens</a></i></li> <li><i><a href="/wiki/Modus_tollens" title="Modus tollens">Modus tollens</a></i></li> <li><a href="/wiki/Necessity_and_sufficiency" title="Necessity and sufficiency">Necessity and sufficiency</a></li> <li><i><a href="/wiki/Post_hoc_ergo_propter_hoc" title="Post hoc ergo propter hoc">Post hoc ergo propter hoc</a></i></li></ul> </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=Affirming_the_consequent&action=edit&section=4" title="Edit section: References"><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"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</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="CITEREFRosen2019" class="citation book cs1">Rosen, Kenneth H. (2019). <i>Discrete Mathematics and its Applications: Kenneth H. Rosen</i>. McGraw-Hill. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1260091991" title="Special:BookSources/978-1260091991"><bdi>978-1260091991</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Discrete+Mathematics+and+its+Applications%3A+Kenneth+H.+Rosen&rft.pub=McGraw-Hill&rft.date=2019&rft.isbn=978-1260091991&rft.aulast=Rosen&rft.aufirst=Kenneth+H.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLay2014" class="citation book cs1">Lay, Steven (2014). <i>Introduction to Analysis with Proof, 5th edition</i>. Pearson. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0321747471" title="Special:BookSources/978-0321747471"><bdi>978-0321747471</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introduction+to+Analysis+with+Proof%2C+5th+edition&rft.pub=Pearson&rft.date=2014&rft.isbn=978-0321747471&rft.aulast=Lay&rft.aufirst=Steven&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> <li id="cite_note-Hurley2012-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-Hurley2012_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHurley2012" class="citation book cs1">Hurley, Patrick J. (2012). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=foDDbwAACAAJ"><i>A Concise Introduction to Logic</i></a> (11th ed.). Boston, Massachusetts: Cengage Learning. p. 362. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781111346232" title="Special:BookSources/9781111346232"><bdi>9781111346232</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/711774631">711774631</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Concise+Introduction+to+Logic&rft.place=Boston%2C+Massachusetts&rft.pages=362&rft.edition=11th&rft.pub=Cengage+Learning&rft.date=2012&rft_id=info%3Aoclcnum%2F711774631&rft.isbn=9781111346232&rft.aulast=Hurley&rft.aufirst=Patrick+J.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DfoDDbwAACAAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Hurley, Patrick J. (2010), <i>A Concise Introduction to Logic</i> (11th edition). Wadsworth Cengage Learning, pp. 362–63.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.fallacyfiles.org/afthecon.html">"Affirming the Consequent"</a>. <i>Fallacy Files</i><span class="reference-accessdate">. Retrieved <span class="nowrap">9 May</span> 2013</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Fallacy+Files&rft.atitle=Affirming+the+Consequent&rft_id=http%3A%2F%2Fwww.fallacyfiles.org%2Fafthecon.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDamer2001" class="citation book cs1">Damer, T. Edward (2001). "Confusion of a Necessary with a Sufficient Condition". <i>Attacking Faulty Reasoning</i> (4th ed.). Wadsworth. p. 150. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-534-60516-8" title="Special:BookSources/0-534-60516-8"><bdi>0-534-60516-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Confusion+of+a+Necessary+with+a+Sufficient+Condition&rft.btitle=Attacking+Faulty+Reasoning&rft.pages=150&rft.edition=4th&rft.pub=Wadsworth&rft.date=2001&rft.isbn=0-534-60516-8&rft.aulast=Damer&rft.aufirst=T.+Edward&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Kelley, David (1998), <i>The Art of Reasoning</i> (3rd edition). Norton, pp. 290–94.</span> </li> <li id="cite_note-:0-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_8-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHeller1994" class="citation book cs1">Heller, Joseph (1994). <i>Catch-22</i>. Vintage. pp. 438, 8. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-09-947731-9" title="Special:BookSources/0-09-947731-9"><bdi>0-09-947731-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Catch-22&rft.pages=438%2C+8&rft.pub=Vintage&rft.date=1994&rft.isbn=0-09-947731-9&rft.aulast=Heller&rft.aufirst=Joseph&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAffirming+the+consequent" class="Z3988"></span></span> </li> </ol></div></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output 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template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Fallacies" title="Template talk:Fallacies"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Fallacies" title="Special:EditPage/Template:Fallacies"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Common_fallacies_(list)222" style="font-size:114%;margin:0 4em">Common <a href="/wiki/Fallacy" title="Fallacy">fallacies</a> (<a href="/wiki/List_of_fallacies" title="List of fallacies">list</a>)</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Formal_fallacy" title="Formal fallacy">Formal</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 scope="row" class="navbox-group" style="width:1%">In <a href="/wiki/Propositional_calculus" title="Propositional calculus">propositional logic</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/Affirming_a_disjunct" title="Affirming a disjunct">Affirming a disjunct</a></li> <li><a class="mw-selflink selflink">Affirming the consequent</a></li> <li><a href="/wiki/Denying_the_antecedent" title="Denying the antecedent">Denying the antecedent</a></li> <li><a href="/wiki/Argument_from_fallacy" title="Argument from fallacy">Argument from fallacy</a></li> <li><a href="/wiki/Masked-man_fallacy" title="Masked-man fallacy">Masked man</a></li> <li><a href="/wiki/Mathematical_fallacy" title="Mathematical fallacy">Mathematical fallacy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">In <a href="/wiki/Quantifier_(logic)" title="Quantifier (logic)">quantificational logic</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/Existential_fallacy" title="Existential fallacy">Existential</a></li> <li><a class="mw-selflink selflink">Illicit conversion</a></li> <li><a href="/wiki/Proof_by_example" title="Proof by example">Proof by example</a></li> <li><a href="/wiki/Quantifier_shift" title="Quantifier shift">Quantifier shift</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Syllogistic_fallacy" class="mw-redirect" title="Syllogistic fallacy">Syllogistic fallacy</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/Affirmative_conclusion_from_a_negative_premise" title="Affirmative conclusion from a negative premise">Affirmative conclusion from a negative premise</a></li> <li><a href="/wiki/Negative_conclusion_from_affirmative_premises" title="Negative conclusion from affirmative premises">Negative conclusion from affirmative premises</a></li> <li><a href="/wiki/Fallacy_of_exclusive_premises" title="Fallacy of exclusive premises">Exclusive premises</a></li> <li><a href="/wiki/Existential_fallacy" title="Existential fallacy">Existential</a></li> <li><a href="/wiki/Modal_scope_fallacy" title="Modal scope fallacy">Necessity</a></li> <li><a href="/wiki/Fallacy_of_four_terms" title="Fallacy of four terms">Four terms</a></li> <li><a href="/wiki/Illicit_major" title="Illicit major">Illicit major</a></li> <li><a href="/wiki/Illicit_minor" title="Illicit minor">Illicit minor</a></li> <li><a href="/wiki/Fallacy_of_the_undistributed_middle" title="Fallacy of the undistributed middle">Undistributed middle</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Informal_fallacy" title="Informal fallacy">Informal</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 scope="row" class="navbox-group" style="width:1%">Equivocation</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/Equivocation" title="Equivocation">Equivocation</a></li> <li><a href="/wiki/False_equivalence" title="False equivalence">False equivalence</a></li> <li><a href="/wiki/False_attribution" title="False attribution">False attribution</a></li> <li><a href="/wiki/Quoting_out_of_context" title="Quoting out of context">Quoting out of context</a></li> <li><a href="/wiki/Loki%27s_Wager" class="mw-redirect" title="Loki's Wager">Loki's Wager</a></li> <li><a href="/wiki/No_true_Scotsman" title="No true Scotsman">No true Scotsman</a></li> <li><a href="/wiki/Reification_(fallacy)" title="Reification (fallacy)">Reification</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Question-begging</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/Circular_reasoning" title="Circular reasoning">Circular reasoning</a> / <a href="/wiki/Begging_the_question" title="Begging the question">Begging the question</a></li> <li><a href="/wiki/Loaded_language" title="Loaded language">Loaded language</a> <ul><li><a href="/wiki/Leading_question" title="Leading question">Leading question</a></li></ul></li> <li><a href="/wiki/Double-barreled_question" title="Double-barreled question">Compound question</a> / <a href="/wiki/Loaded_question" title="Loaded question">Loaded question</a> / <a href="/wiki/Complex_question" title="Complex question">Complex question</a></li> <li><a href="/wiki/No_true_Scotsman" title="No true Scotsman">No true Scotsman</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Correlative-based_fallacies" title="Correlative-based fallacies">Correlative-based</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/False_dilemma" title="False dilemma">False dilemma</a> <ul><li><a href="/wiki/Nirvana_fallacy" title="Nirvana fallacy">Perfect solution</a></li></ul></li> <li><a href="/wiki/Denying_the_correlative" title="Denying the correlative">Denying the correlative</a></li> <li><a href="/wiki/Suppressed_correlative" title="Suppressed correlative">Suppressed correlative</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Fallacies_of_illicit_transference" title="Fallacies of illicit transference">Illicit transference</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/Fallacy_of_composition" title="Fallacy of composition">Composition</a></li> <li><a href="/wiki/Fallacy_of_division" title="Fallacy of division">Division</a></li> <li><a href="/wiki/Ecological_fallacy" title="Ecological fallacy">Ecological</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><i><a href="/wiki/Secundum_quid" title="Secundum quid">Secundum quid</a></i></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/Accident_(fallacy)" title="Accident (fallacy)">Accident</a></li> <li><a href="/wiki/Converse_accident" title="Converse accident">Converse accident</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Faulty_generalization" title="Faulty generalization">Faulty generalization</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/Anecdotal_evidence" title="Anecdotal evidence">Anecdotal evidence</a></li> <li><a href="/wiki/Sampling_bias" title="Sampling bias">Sampling bias</a> <ul><li><a href="/wiki/Cherry_picking" title="Cherry picking">Cherry picking</a></li> <li><a href="/wiki/McNamara_fallacy" title="McNamara fallacy">McNamara</a></li></ul></li> <li><a href="/wiki/Base_rate_fallacy" title="Base rate fallacy">Base rate</a> / <a href="/wiki/Conjunction_fallacy" title="Conjunction fallacy">Conjunction</a></li> <li><a href="/wiki/Double_counting_(fallacy)" title="Double counting (fallacy)">Double counting</a></li> <li><a href="/wiki/Argument_from_analogy" title="Argument from analogy">False analogy</a></li> <li><a href="/wiki/Slothful_induction" title="Slothful induction">Slothful induction</a></li> <li><a href="/wiki/Overwhelming_exception" title="Overwhelming exception">Overwhelming exception</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ambiguity" title="Ambiguity">Ambiguity</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/Fallacy_of_accent" title="Fallacy of accent">Accent</a></li> <li><a href="/wiki/False_precision" title="False precision">False precision</a></li> <li><a href="/wiki/Moving_the_goalposts" title="Moving the goalposts">Moving the goalposts</a></li> <li><a href="/wiki/Quoting_out_of_context" title="Quoting out of context">Quoting out of context</a></li> <li><a href="/wiki/Slippery_slope" title="Slippery slope">Slippery slope</a></li> <li><a href="/wiki/Sorites_paradox" title="Sorites paradox">Sorites paradox</a></li> <li><a href="/wiki/Syntactic_ambiguity" title="Syntactic ambiguity">Syntactic ambiguity</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Questionable_cause" title="Questionable cause">Questionable cause</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/Animistic_fallacy" title="Animistic fallacy">Animistic</a> <ul><li><a href="/wiki/Furtive_fallacy" title="Furtive fallacy">Furtive</a></li></ul></li> <li>Correlation implies causation <ul><li><i><a href="/wiki/Correlation_does_not_imply_causation" title="Correlation does not imply causation">Cum hoc</a></i></li> <li><i><a href="/wiki/Post_hoc_ergo_propter_hoc" title="Post hoc ergo propter hoc">Post hoc</a></i></li></ul></li> <li><a href="/wiki/Gambler%27s_fallacy" title="Gambler's fallacy">Gambler's</a> <ul><li><a href="/wiki/Inverse_gambler%27s_fallacy" title="Inverse gambler's fallacy">Inverse</a></li></ul></li> <li><a href="/wiki/Regression_fallacy" title="Regression fallacy">Regression</a></li> <li><a href="/wiki/Fallacy_of_the_single_cause" title="Fallacy of the single cause">Single cause</a></li> <li><a href="/wiki/Slippery_slope" title="Slippery slope">Slippery slope</a></li> <li><a href="/wiki/Texas_sharpshooter_fallacy" title="Texas sharpshooter fallacy">Texas sharpshooter</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Appeals</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/Appeal_to_the_law" title="Appeal to the law">Law/Legality</a></li> <li><a href="/wiki/Appeal_to_the_stone" title="Appeal to the stone">Stone</a> / <a href="/wiki/Proof_by_assertion" title="Proof by assertion">Proof by assertion</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Appeal_to_consequences" title="Appeal to consequences">Consequences</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/Argumentum_ad_baculum" title="Argumentum ad baculum">Argumentum ad baculum</a></i></li> <li><a href="/wiki/Wishful_thinking" title="Wishful thinking">Wishful thinking</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Appeal_to_emotion" title="Appeal to emotion">Emotion</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/Think_of_the_children" title="Think of the children">Children</a></li> <li><a href="/wiki/Appeal_to_fear" title="Appeal to fear">Fear</a></li> <li><a href="/wiki/Appeal_to_flattery" title="Appeal to flattery">Flattery</a></li> <li><a href="/wiki/Appeal_to_novelty" title="Appeal to novelty">Novelty</a></li> <li><a href="/wiki/Appeal_to_pity" title="Appeal to pity">Pity</a></li> <li><a href="/wiki/Appeal_to_ridicule" title="Appeal to ridicule">Ridicule</a></li> <li><a href="/wiki/In-group_favoritism" title="In-group favoritism">In-group favoritism</a></li> <li><a href="/wiki/Invented_here" title="Invented here">Invented here</a> / <a href="/wiki/Not_invented_here" title="Not invented here">Not invented here</a></li> <li><a href="/wiki/Island_mentality" title="Island mentality">Island mentality</a></li> <li><a href="/wiki/Appeal_to_loyalty" title="Appeal to loyalty">Loyalty</a></li> <li><a href="/wiki/Parade_of_horribles" title="Parade of horribles">Parade of horribles</a></li> <li><a href="/wiki/Appeal_to_spite" class="mw-redirect" title="Appeal to spite">Spite</a></li> <li><a href="/wiki/Flag-waving" title="Flag-waving">Stirring symbols</a></li> <li><a href="/wiki/Wisdom_of_repugnance" title="Wisdom of repugnance">Wisdom of repugnance</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Genetic_fallacy" title="Genetic fallacy">Genetic fallacy</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="Ad_hominem18" scope="row" class="navbox-group" style="width:1%"><i><a href="/wiki/Ad_hominem" title="Ad hominem">Ad hominem</a></i></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/Appeal_to_motive" title="Appeal to motive">Appeal to motive</a></li> <li><a href="/wiki/Association_fallacy" title="Association fallacy">Association</a> <ul><li><i><a href="/wiki/Reductio_ad_Hitlerum" title="Reductio ad Hitlerum">Reductio ad Hitlerum</a></i> <ul><li><a href="/wiki/Godwin%27s_law" title="Godwin's law">Godwin's law</a></li></ul></li> <li><i><a href="/wiki/Red-baiting" title="Red-baiting">Reductio ad Stalinum</a></i></li></ul></li> <li><a href="/wiki/Bulverism" title="Bulverism">Bulverism</a></li> <li><a href="/wiki/Poisoning_the_well" title="Poisoning the well">Poisoning the well</a></li> <li><a href="/wiki/Tone_policing" title="Tone policing">Tone</a></li> <li><i><a href="/wiki/Tu_quoque" title="Tu quoque">Tu quoque</a></i></li> <li><a href="/wiki/Whataboutism" title="Whataboutism">Whataboutism</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Argument_from_authority" title="Argument from authority">Authority</a> <ul><li><a href="/wiki/Appeal_to_accomplishment" title="Appeal to accomplishment">Accomplishment</a></li> <li><i><a href="/wiki/Ipse_dixit" title="Ipse dixit">Ipse dixit</a></i></li> <li><a href="/wiki/Argumentum_ad_lazarum" title="Argumentum ad lazarum">Poverty</a> / <a href="/wiki/Argumentum_ad_crumenam" title="Argumentum ad crumenam">Wealth</a></li></ul></li> <li><a href="/wiki/Etymological_fallacy" title="Etymological fallacy">Etymology</a></li> <li><a href="/wiki/Appeal_to_nature" title="Appeal to nature">Nature</a></li> <li><a href="/wiki/Appeal_to_tradition" title="Appeal to tradition">Tradition</a> / <a href="/wiki/Appeal_to_novelty" title="Appeal to novelty">Novelty</a> <ul><li><a href="/wiki/Chronological_snobbery" title="Chronological snobbery">Chronological snobbery</a></li></ul></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other <a href="/wiki/Fallacy_of_relevance" class="mw-redirect" title="Fallacy of relevance">fallacies<br /> of relevance</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="Arguments13" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Argument" title="Argument">Arguments</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/Ad_nauseam" title="Ad nauseam">Ad nauseam</a></i> <ul><li><a href="/wiki/Sealioning" title="Sealioning">Sealioning</a></li></ul></li> <li><a href="/wiki/Argument_from_anecdote" title="Argument from anecdote">Argument from anecdote</a></li> <li><a href="/wiki/Argument_from_silence" title="Argument from silence">Argument from silence</a></li> <li><a href="/wiki/Argument_to_moderation" title="Argument to moderation">Argument to moderation</a></li> <li><i><a href="/wiki/Argumentum_ad_populum" title="Argumentum ad populum">Argumentum ad populum</a></i></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Clich%C3%A9" title="Cliché">Cliché</a></li> <li><i><a href="/wiki/The_Four_Great_Errors" title="The Four Great Errors">The Four Great Errors</a></i></li> <li><a href="/wiki/I%27m_entitled_to_my_opinion" title="I'm entitled to my opinion">I'm entitled to my opinion</a></li> <li><i><a href="/wiki/Irrelevant_conclusion" title="Irrelevant conclusion">Ignoratio elenchi</a></i></li> <li><a href="/wiki/Invincible_ignorance_fallacy" title="Invincible ignorance fallacy">Invincible ignorance</a></li> <li><a href="/wiki/Moralistic_fallacy" title="Moralistic fallacy">Moralistic</a> / <a href="/wiki/Naturalistic_fallacy" title="Naturalistic fallacy">Naturalistic</a></li> <li><a href="/wiki/Motte-and-bailey_fallacy" title="Motte-and-bailey fallacy">Motte-and-bailey fallacy</a></li> <li><a href="/wiki/Psychologist%27s_fallacy" title="Psychologist's fallacy">Psychologist's fallacy</a></li> <li><a href="/wiki/Rationalization_(psychology)" title="Rationalization (psychology)">Rationalization</a></li> <li><a href="/wiki/Red_herring" title="Red herring">Red herring</a> <ul><li><a href="/wiki/Two_wrongs_make_a_right" class="mw-redirect" title="Two wrongs make a right">Two wrongs make a right</a></li></ul></li> <li><a href="/wiki/Special_pleading" title="Special pleading">Special pleading</a></li> <li><a href="/wiki/Straw_man" title="Straw man">Straw man</a></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> <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:Fallacies" title="Category:Fallacies">Category</a></li></ul> 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Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2001-03-23T17:53:17Z","dateModified":"2024-12-30T15:31:55Z","headline":"logical fallacy of the form: if \ud835\udc43, then \ud835\udc44; indeed \ud835\udc44; thus, \ud835\udc43"}</script> </body> </html>