CINXE.COM
Proof - RationalWiki
<!DOCTYPE html> <html class="client-nojs" lang="en" dir="ltr"> <head> <meta charset="UTF-8"/> <title>Proof - RationalWiki</title> <script>document.documentElement.className="client-js";RLCONF={"wgBreakFrames":!1,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"Z98xOk5k60LzRYPas6N_tQAAAQE","wgCSPNonce":!1,"wgCanonicalNamespace":"","wgCanonicalSpecialPageName":!1,"wgNamespaceNumber":0,"wgPageName":"Proof","wgTitle":"Proof","wgCurRevisionId":2411761,"wgRevisionId":2411761,"wgArticleId":6520,"wgIsArticle":!0,"wgIsRedirect":!1,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Pages using DynamicPageList parser function","Bronze-level articles","Science","Law","Logic","Mathematics"],"wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Proof","wgRelevantArticleId":6520,"wgIsProbablyEditable":!0,"wgRelevantPageIsProbablyEditable":!0,"wgRestrictionEdit":[], "wgRestrictionMove":[],"wgMediaViewerOnClick":!0,"wgMediaViewerEnabledByDefault":!0};RLSTATE={"site.styles":"ready","noscript":"ready","user.styles":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","skins.vector.styles.legacy":"ready","mediawiki.toc.styles":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","site","mediawiki.page.startup","mediawiki.page.ready","mediawiki.toc","skins.vector.legacy.js","ext.gadget.ReferenceTooltips","mmv.head","mmv.bootstrap.autostart"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.implement("user.options@1hzgi",function($,jQuery,require,module){/*@nomin*/mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); });});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.cite.styles%7Cmediawiki.toc.styles%7Cskins.vector.styles.legacy&only=styles&skin=vector"/> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=vector"></script> <meta name="ResourceLoaderDynamicStyles" content=""/> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=vector"/> <meta name="generator" content="MediaWiki 1.35.6"/> <meta name="description" content="Proof, in its general sense, is evidence that is sufficient to justify belief in a claim. With the exception of purely logical proofs, such as those in mathematics, proof is largely subjective, requiring that it meet the criteria of the person(s) weighing evidence. Therefore, what constitutes sufficient evidence for one person may not be the same for others."/> <link rel="alternate" type="application/x-wiki" title="Edit" href="/w/index.php?title=Proof&action=edit"/> <link rel="edit" title="Edit" href="/w/index.php?title=Proof&action=edit"/> <link rel="shortcut icon" href="/favicon.ico"/> <link rel="search" type="application/opensearchdescription+xml" href="/w/opensearch_desc.php" title="RationalWiki (en)"/> <link rel="EditURI" type="application/rsd+xml" href="https://rationalwiki.org/w/api.php?action=rsd"/> <link rel="license" href="/wiki/RationalWiki:Copyrights"/> <link rel="alternate" type="application/atom+xml" title="RationalWiki Atom feed" href="/w/index.php?title=Special:RecentChanges&feed=atom"/> <meta property="og:type" content="article"/> <meta property="og:site_name" content="RationalWiki"/> <meta property="og:title" content="Proof"/> <meta property="og:description" content="Proof, in its general sense, is evidence that is sufficient to justify belief in a claim. With the exception of purely logical proofs, such as those in mathematics, proof is largely subjective, requiring that it meet the criteria of the person(s) weighing evidence. Therefore, what constitutes sufficient evidence for one person may not be the same for others."/> <meta property="og:url" content="https://rationalwiki.org/wiki/Proof"/> <!--[if lt IE 9]><script src="/w/resources/lib/html5shiv/html5shiv.js"></script><![endif]--> </head> <body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Proof rootpage-Proof skin-vector action-view minerva--history-page-action-enabled skin-vector-legacy"> <div id="mw-page-base" class="noprint"></div> <div id="mw-head-base" class="noprint"></div> <div id="content" class="mw-body" role="main"> <a id="top"></a> <div id="siteNotice" class="mw-body-content"><div id="localNotice" lang="en" dir="ltr"><div id="2025_RationalWiki_.27Oregon_Plan.27_Fundraiser"> <table role="presentation" style="margin: 1em auto 1em auto; width: 100%;"> <tbody><tr> <td style="width: 60%; text-align: left;"><big><center><b><a href="/wiki/RationalWiki:Fundraiser" title="RationalWiki:Fundraiser">2025 RationalWiki 'Oregon Plan' Fundraiser</a></b></center></big> <p><b>There is no RationalWiki without you.</b> We are a small non-profit with no staff—we are hundreds of volunteers who document pseudoscience and crankery around the world every day. We will never allow ads because we must remain independent. We cannot rely on big donors with corresponding big agendas. We are not the largest website around, but <a href="/wiki/RationalWiki:Fundraiser" title="RationalWiki:Fundraiser">we believe we play an important role in defending truth and objectivity</a>. </p> </td> <td style="width: 40%; text-align: center;"><big><b><a href="/wiki/RationalWiki:Fundraiser" title="RationalWiki:Fundraiser">Fighting pseudoscience isn't free</a>.<br />We are 100% user-supported! Help and donate $5, $10, $20 or whatever you can today with <img alt="PayPal Logo.png" src="/w/images/thumb/f/fb/PayPal_Logo.png/61px-PayPal_Logo.png" decoding="async" width="61" height="17" srcset="/w/images/thumb/f/fb/PayPal_Logo.png/92px-PayPal_Logo.png 1.5x, /w/images/thumb/f/fb/PayPal_Logo.png/122px-PayPal_Logo.png 2x" data-file-width="883" data-file-height="244" />!</b></big><a href="https://www.paypal.com/donate/?hosted_button_id=67BJMQC85CUFW" title="Donate via PayPal" rel="nofollow"><img alt="" src="/w/images/thumb/1/10/DonateButton.png/100px-DonateButton.png" decoding="async" width="100" height="32" srcset="/w/images/thumb/1/10/DonateButton.png/150px-DonateButton.png 1.5x, /w/images/thumb/1/10/DonateButton.png/200px-DonateButton.png 2x" data-file-width="759" data-file-height="241" /></a> </td></tr></tbody></table> <div role="progressbar" style="width: 100%; border: 2px solid black; position: relative; padding: 2px; border-radius: 18px;"> <a href="/wiki/RationalWiki:Fundraiser" title="RationalWiki:Fundraiser"><span style="text-shadow: -1px -1px 0 #FFFFFF, 1px -1px 0 #FFFFFF, -1px 1px 0 #FFFFFF, 1px 1px 0 #FFFFFF; color: black; font-size: 125%; position: absolute; left: 0%; margin: 0 0 0 10px"><b>Donations so far: $7608.77</b></span></a><a href="/wiki/RationalWiki:Fundraiser" title="RationalWiki:Fundraiser"><span style="text-shadow: -1px -1px 0 #FFFFFF, 1px -1px 0 #FFFFFF, -1px 1px 0 #FFFFFF, 1px 1px 0 #FFFFFF; color: black; font-size: 125%; position: absolute; right: 0%; margin: 0 10px 0 0"><b>Goal: $10000</b></span></a><div style="height: 28px; border-radius: 14px; background-color: hsl(60.87016,100%,45%); width: 76.0877%;"></div> </div></div></div></div> <div class="mw-indicators mw-body-content"> <div id="mw-indicator-bronze" class="mw-indicator"><a href="/wiki/Category:Bronze-level_articles" title="Category:Bronze-level articles"><img alt="Bronze-level article" src="/w/images/thumb/3/3d/Copperbrain.png/25px-Copperbrain.png" decoding="async" width="25" height="25" style="vertical-align: baseline" srcset="/w/images/thumb/3/3d/Copperbrain.png/38px-Copperbrain.png 1.5x, /w/images/thumb/3/3d/Copperbrain.png/50px-Copperbrain.png 2x" data-file-width="800" data-file-height="800" /></a></div> </div> <h1 id="firstHeading" class="firstHeading" lang="en">Proof</h1> <div id="bodyContent" class="mw-body-content"> <div id="siteSub" class="noprint">From RationalWiki</div> <div id="contentSub"></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Jump to navigation</a> <a class="mw-jump-link" href="#searchInput">Jump to search</a> <div id="mw-content-text" lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-parser-output"><table class="infobox" cellpadding="1" cellspacing="0" style="float: right; margin: 0 0 0.5em 0.5em; text-align:left; border: 1px solid #00B0F0; width:175px;"> <tbody><tr> <td style="font-size: 95%; text-align:center; color:white; background-color:#00B0F0"><b>Poetry of reality</b><br /><a href="/wiki/Science" title="Science"><font size="5" color="white"><b>Science</b></font></a> </td></tr> <tr> <td style="background-color:#CCEFFC;" align="center"><a href="/wiki/Category:Science" title="Category:Science"><img alt="Icon science.svg" src="/w/images/thumb/a/ab/Icon_science.svg/100px-Icon_science.svg.png" decoding="async" width="100" height="100" srcset="/w/images/thumb/a/ab/Icon_science.svg/150px-Icon_science.svg.png 1.5x, /w/images/thumb/a/ab/Icon_science.svg/200px-Icon_science.svg.png 2x" data-file-width="200" data-file-height="200" /></a> </td></tr> <tr> <td style="font-size: 95%; color:white; background-color:#00B0F0; text-align:center;"><b>We must know. <br /> We will know.</b> </td></tr> <tr> <td style="font-size: 95%; background-color:#CCEFFC;"> <ul><li><a href="/wiki/Physics" title="Physics">Physics</a></li> <li><a href="/wiki/Chemistry" title="Chemistry">Chemistry</a></li> <li><a href="/wiki/Biology" title="Biology">Biology</a></li> <li><a href="/wiki/Astronomy" title="Astronomy">Astronomy</a></li> <li><a href="/wiki/Geology" title="Geology">Geology</a></li></ul> </td></tr> <tr> <td style="font-size: 95%; color:white; background-color:#00B0F0; text-align:center;"><b>A view from the<br />shoulders of giants.</b> </td></tr> <tr> <td style="font-size: 95%; background-color:#CCEFFC;"> <ul><li><a href="/wiki/Science_and_religion" title="Science and religion">Science and religion</a></li> <li><a href="/wiki/Critical_thinking" title="Critical thinking">Critical thinking</a></li> <li><a href="/wiki/Cognitive_science" title="Cognitive science">Cognitive science</a></li> <li><a href="/wiki/Soft_tissue_preservation" title="Soft tissue preservation">Soft tissue preservation</a></li> <li><a href="/wiki/Orchidaceae" title="Orchidaceae">Orchidaceae</a></li> <li><a href="/wiki/Francis_Bacon" title="Francis Bacon">Francis Bacon</a></li> <li><a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a></li> <li><a href="/wiki/War_on_Science" title="War on Science">War on Science</a></li></ul> <div class="vte plainlinks" style="font-size:smaller; text-align:center;"><a href="/wiki/Template:Sciencenav" title="Template:Sciencenav">v</a> - <a href="/wiki/Template_talk:Sciencenav" title="Template talk:Sciencenav">t</a> - <a rel="nofollow" class="external text" href="https://rationalwiki.org/w/index.php?title=Template:Sciencenav&action=edit">e</a></div> </td></tr></tbody></table> <p><b>Proof</b>, in its general sense, is <a href="/wiki/Evidence" title="Evidence">evidence</a> that is sufficient to justify belief in a claim. With the exception of purely <a href="/wiki/Logic" title="Logic">logical</a> proofs, such as those in <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, proof is largely subjective, requiring that it meet the criteria of the person(s) weighing evidence. Therefore, what constitutes sufficient evidence for one person may not be the same for others. </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="en" dir="ltr"><h2 id="mw-toc-heading">Contents</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Types_of_proof"><span class="tocnumber">1</span> <span class="toctext">Types of proof</span></a> <ul> <li class="toclevel-2 tocsection-2"><a href="#Common_usage"><span class="tocnumber">1.1</span> <span class="toctext">Common usage</span></a></li> <li class="toclevel-2 tocsection-3"><a href="#Scientific_proof"><span class="tocnumber">1.2</span> <span class="toctext">Scientific proof</span></a></li> <li class="toclevel-2 tocsection-4"><a href="#Alcohol"><span class="tocnumber">1.3</span> <span class="toctext">Alcohol</span></a></li> <li class="toclevel-2 tocsection-5"><a href="#Maths"><span class="tocnumber">1.4</span> <span class="toctext">Maths</span></a></li> <li class="toclevel-2 tocsection-6"><a href="#Legal"><span class="tocnumber">1.5</span> <span class="toctext">Legal</span></a></li> <li class="toclevel-2 tocsection-7"><a href="#Political"><span class="tocnumber">1.6</span> <span class="toctext">Political</span></a></li> <li class="toclevel-2 tocsection-8"><a href="#Music"><span class="tocnumber">1.7</span> <span class="toctext">Music</span></a></li> </ul> </li> <li class="toclevel-1 tocsection-9"><a href="#See_also"><span class="tocnumber">2</span> <span class="toctext">See also</span></a></li> <li class="toclevel-1 tocsection-10"><a href="#Notes"><span class="tocnumber">3</span> <span class="toctext">Notes</span></a></li> <li class="toclevel-1 tocsection-11"><a href="#References"><span class="tocnumber">4</span> <span class="toctext">References</span></a></li> </ul> </div> <h2><span class="mw-headline" id="Types_of_proof">Types of proof</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=1" title="Edit section: Types of proof">edit</a><span class="mw-editsection-bracket">]</span></span></h2> <h3><span class="mw-headline" id="Common_usage">Common usage</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=2" title="Edit section: Common usage">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p><b>Proof</b> is commonly taken to mean that the claim is <i>absolutely true</i>. For general and unremarkable claims this can be considered correct, although the <a href="/wiki/Philosophy" title="Philosophy">philosophy</a> of <a href="/wiki/Pyrrhonism" title="Pyrrhonism">pyrrhonism</a> states that nothing can ever be <i>proven</i> in this way — even in the unremarkable daily lives of people. In the "<a href="/wiki/Real_world" class="mw-redirect" title="Real world">real world</a>", proof might consist of a printed source stating what you claim it states (e.g., "<i>The Times</i> really did say that the <a href="/wiki/YEC" class="mw-redirect" title="YEC">earth is just 6000 years old</a>, and here is the text as proof") or a demonstration (e.g., "my new <a href="/wiki/Car" class="mw-redirect" title="Car">car</a> can do 0 to 60 in 6 seconds, watch!"). </p> <h3><span class="mw-headline" id="Scientific_proof">Scientific proof</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=3" title="Edit section: Scientific proof">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p>It is often said that proof is for <a href="/wiki/Alcohol" title="Alcohol">alcohol</a> and mathematics, as these are really the only areas where proof has any real meaning. "Proof" is something that the opponents of science are always clamouring for, yet is not actually something that science suggests it will give — specifically in the <a href="/wiki/Common_sense" title="Common sense">common sense</a> definition of "proof" that suggests that a claim has been proven 100%. </p><p>Surprisingly to some, science does not deal in proof, in spite of the word being associated with science a whole lot more than perhaps it should be. Scientists will throw around phrases like "we've just proven our theory" when they should know better, but this can be excusable <a href="/wiki/Human_nature" title="Human nature">human nature</a>. With some theories it's very difficult not to think of them as proven (e.g., <a href="/wiki/Newton" class="mw-redirect" title="Newton">Newton</a>'s laws of motion, for instance, which always have and always will describe the behavior of objects within the limits of those theories.) <a href="/wiki/Scientific_method" title="Scientific method">Science as a method</a>, however, deals not in proof but in <a href="/wiki/Evidence" title="Evidence">evidence</a>, and perhaps <a href="/wiki/Falsifiability" title="Falsifiability"><i>dis</i>proof</a> when the evidence contradicts a <a href="/wiki/Hypothesis" title="Hypothesis">hypothesis</a>. </p><p>For example, finding a fingerprint at the scene of a <a href="/wiki/Crime" title="Crime">crime</a> may be construed by most people as "proof" that the owner of the fingerprint was, at some time, at that location. Science would say that the fingerprint is "evidence" that somehow a means of leaving that fingerprint was at that location. More evidence can be collected that shows a person was there at the right time, or perhaps some evidence is shown that they <i>weren't</i> there. It is up to someone working in the world of science to put together a <a href="/wiki/Hypothesis" title="Hypothesis">hypothesis</a> which is consistent with this evidence when taken together. A scientist hasn't strictly <i>proven</i> anything by putting together this hypothesis, but they have constructed a realistic scenario based on overwhelming evidence. <a href="/wiki/Anti-evolution" class="mw-redirect" title="Anti-evolution">Anti-evolutionists</a> often ask for proof of <a href="/wiki/Evolution" title="Evolution">evolution</a>, and act triumphant when none is forthcoming. This is perfectly reasonable for science to do — after all, no scientist can even be certain of what evidence will come up in the future that may contradict the current <a href="/wiki/Theory" title="Theory">theory</a>. Yet those of the <a href="/wiki/Anti-science" class="mw-redirect" title="Anti-science">anti-science</a> movement who cling to this detail usually fail to hear the words put in place of "proof" — <i>overwhelming evidence</i>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1">[note 1]</a></sup> In a way they know they are being <a href="/wiki/Intellectual_dishonesty" class="mw-redirect" title="Intellectual dishonesty">disingenuous</a>, for they understand — with <a href="/wiki/Kent_Hovind#Legal_problems_from_1995_to_2006" title="Kent Hovind">some exceptions</a> — the way the <a href="/wiki/Legal" class="mw-redirect" title="Legal">legal</a> system uses the word <i>proof</i> in that overwhelming evidence is considered to <i>prove</i> a case, yet reject that same usage for when science talks of the overwhelming evidence for evolution. </p> <h3><span class="mw-headline" id="Alcohol">Alcohol</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=4" title="Edit section: Alcohol">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p>In the <a href="/wiki/USA" class="mw-redirect" title="USA">USA</a> measurement of alcohol, "proof spirit" is an equal mixture of alcohol and <a href="/wiki/Water" title="Water">water</a>. The alcoholic content of a spirit is sometimes expressed as a percentage of proof. A whiskey that is 80 proof is 40% alcohol by volume, and a rum of 120 proof is 60% ABV. The term actually comes from "proving a spirit," i.e. proving it had not been watered down excessively. In the 18<sup>th</sup> century, sailors tested the strength of their rum rations by dousing a small amount of gunpowder in a small amount of rum. If the powder would still ignite, this demonstrated that the liquor was proof strength or above. </p><p>Until 1980, the <a href="/wiki/UK" class="mw-redirect" title="UK">UK</a> had a different scale whereby 100 degrees proof was equal to 4/7 alcohol by volume. Thus 100% alcohol was 175% proof. Nowadays a straight percentage is used. </p> <h3><span class="mw-headline" id="Maths">Maths</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=5" title="Edit section: Maths">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p>In math or logic, a mathematical/<a href="/wiki/Logic" title="Logic">logical</a> proof is a statement based on a set of rules which necessarily leads inevitably to a particular conclusion. This is seen most simply in a list of mathematical equations which are rearranged sequentially to show that one thing leads to another. Providing all the mathematical rearrangements are correct, these proofs are considered quite correct. There are many ways of going about this, <a href="/wiki/Deductive_reasoning" class="mw-redirect" title="Deductive reasoning">directly</a>, <a href="/wiki/Inductive_reasoning" class="mw-redirect" title="Inductive reasoning">inductively</a> or by showing contradictions.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2">[1]</a></sup> </p> <h3><span class="mw-headline" id="Legal">Legal</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=6" title="Edit section: Legal">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p>Proof also has a legal meaning which is much fuzzier than the mathematical or scientific meanings.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3">[2]</a></sup> </p> <h3><span class="mw-headline" id="Political">Political</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=7" title="Edit section: Political">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <p>Former Prime Minister of <a href="/wiki/Canada" title="Canada">Canada</a>, Jean Chrétien, <a href="/wiki/Circular_reasoning" title="Circular reasoning">"explained"</a> the concept of proof as: </p> <blockquote class="letter" style="width:auto; background:#f8f8ff; border:1px solid #C9C9CF;"> <p>"…a proof is a proof. What kind of a proof? It's a proof. A proof is a proof, and when you have a good proof, it's because it's proven."<sup id="cite_ref-4" class="reference"><a href="#cite_note-4">[3]</a></sup> </p> </blockquote> <h3><span class="mw-headline" id="Music">Music</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=8" title="Edit section: Music">edit</a><span class="mw-editsection-bracket">]</span></span></h3> <div role="note" class="hatnote">See the main article on this topic: <a href="/wiki/Music" title="Music">Music</a></div> <p>"Proof" is the fourth track on Paul Simon's 1990 album <i>The Rhythm Of The Saints</i>: </p> <blockquote class="letter" style="width:auto; background:#f8f8ff; border:1px solid #C9C9CF;"> <p>"<a href="/wiki/Faith" title="Faith">Faith</a>. Faith is an island in the setting <a href="/wiki/Sun" title="Sun">Sun</a>.<br />But proof? Proof is the bottom line for everyone." </p> </blockquote> <h2><span class="mw-headline" id="See_also">See also</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=9" title="Edit section: See also">edit</a><span class="mw-editsection-bracket">]</span></span></h2> <ul><li><a href="/wiki/Burden_of_proof" title="Burden of proof">Burden of proof</a></li> <li><a href="/wiki/Evidence" title="Evidence">Evidence</a></li> <li><a href="/wiki/Faith" title="Faith">Faith</a></li> <li><a href="/wiki/Exception_that_proves_the_rule" title="Exception that proves the rule">Exception that proves the rule</a></li> <li><a href="/wiki/Extraordinary_claims_require_extraordinary_evidence" title="Extraordinary claims require extraordinary evidence">Extraordinary claims require extraordinary evidence</a></li> <li><a href="/wiki/One_single_proof" title="One single proof">One single proof</a></li> <li><a href="/wiki/Scientific_method" title="Scientific method">Scientific method</a></li> <li><a href="/wiki/Truth" title="Truth">Truth</a></li></ul> <h2><span class="mw-headline" id="Notes">Notes</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=10" title="Edit section: Notes">edit</a><span class="mw-editsection-bracket">]</span></span></h2> <div class="references-small" style="font-size:90%;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Then again, to some of these morons, "proof" of evolution would be a <a href="/wiki/Fish" title="Fish">fish</a> turning into an <a href="/wiki/Ape" class="mw-redirect" title="Ape">ape</a>…</span> </li> </ol></div></div> <h2><span class="mw-headline" id="References">References</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Proof&action=edit&section=11" title="Edit section: References">edit</a><span class="mw-editsection-bracket">]</span></span></h2> <div class="references-small" style="font-size:90%;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">See the Wikipedia article <a href="https://en.wikipedia.org/wiki/Mathematical_proof#Methods_of_proof" class="extiw" title="wp:Mathematical proof" rel="nofollow"><span style="color:#477979 !important;" title="Wikipedia: Mathematical proof#Methods of proof">Mathematical proof § Methods of proof</span></a><sup><img alt="" src="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Wikipedia%27s_W.svg/12px-Wikipedia%27s_W.svg.png" decoding="async" width="12" height="12" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Wikipedia%27s_W.svg/18px-Wikipedia%27s_W.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Wikipedia%27s_W.svg/24px-Wikipedia%27s_W.svg.png 2x" data-file-width="128" data-file-height="128" /></sup> for a list of proofs and further articles on mathematical proofs.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://faculty.law.ubc.ca/wexler/pdf/legal%20proof.pdf">General Theory of Legal Proof</a> — a quite weighty PDF document, just to show how complex "legal proof" can be.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=TLmUJCCKBTk">Ah, the good old ays!</a></span> </li> </ol></div></div> <!-- NewPP limit report Parsed by apache5 Cached time: 20250322191336 Cache expiry: 86400 Dynamic content: false Complications: [] CPU time usage: 0.044 seconds Real time usage: 0.067 seconds Preprocessor visited node count: 432/1000000 Post‐expand include size: 5960/2097152 bytes Template argument size: 1702/2097152 bytes Highest expansion depth: 10/40 Expensive parser function count: 0/100 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2022/5000000 bytes --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 51.490 1 -total 45.35% 23.353 1 Template:Sciencenav 40.74% 20.978 1 Template:Navsidebar 32.58% 16.774 1 Template:Navsidebar2 29.17% 15.018 1 Template:Randomarticles 16.61% 8.551 2 Template:Reflist 12.15% 6.255 1 Template:Bronze 8.21% 4.226 2 Template:Quotebox 7.98% 4.108 1 Template:Efn 7.20% 3.708 1 Template:Main --> <!-- Saved in parser cache with key rationalwiki:pcache:idhash:6520-0!canonical and timestamp 20250322191336 and revision id 2411761 --> </div></div><div class="printfooter">Retrieved from "<a dir="ltr" href="https://rationalwiki.org/w/index.php?title=Proof&oldid=2411761">https://rationalwiki.org/w/index.php?title=Proof&oldid=2411761</a>"</div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Categories</a>: <ul><li><a href="/wiki/Category:Bronze-level_articles" title="Category:Bronze-level articles">Bronze-level articles</a></li><li><a href="/wiki/Category:Science" title="Category:Science">Science</a></li><li><a href="/wiki/Category:Law" title="Category:Law">Law</a></li><li><a href="/wiki/Category:Logic" title="Category:Logic">Logic</a></li><li><a href="/wiki/Category:Mathematics" title="Category:Mathematics">Mathematics</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden category: <ul><li><a href="/wiki/Category:Pages_using_DynamicPageList_parser_function" title="Category:Pages using DynamicPageList parser function">Pages using DynamicPageList parser function</a></li></ul></div></div> </div> </div> <div id="mw-navigation"> <h2>Navigation menu</h2> <div id="mw-head"> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-personal" class="vector-menu" aria-labelledby="p-personal-label" role="navigation" > <h3 id="p-personal-label"> <span>Personal tools</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="pt-anonuserpage">Not logged in</li><li id="pt-anontalk"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n">Talk</a></li><li id="pt-anoncontribs"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y">Contributions</a></li><li id="pt-createaccount"><a href="/w/index.php?title=Special:CreateAccount&returnto=Proof" title="You are encouraged to create an account and log in; however, it is not mandatory">Create account</a></li><li id="pt-login"><a href="/w/index.php?title=Special:UserLogin&returnto=Proof" title="You are encouraged to log in; however, it is not mandatory [o]" accesskey="o">Log in</a></li></ul> </div> </nav> <div id="left-navigation"> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-namespaces" class="vector-menu vector-menu-tabs vectorTabs" aria-labelledby="p-namespaces-label" role="navigation" > <h3 id="p-namespaces-label"> <span>Namespaces</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="ca-nstab-main" class="selected"><a href="/wiki/Proof" title="View the content page [c]" accesskey="c">Page</a></li><li id="ca-talk"><a href="/wiki/Talk:Proof" rel="discussion" title="Discussion about the content page [t]" accesskey="t">Talk</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-variants" class="vector-menu-empty emptyPortlet vector-menu vector-menu-dropdown vectorMenu" aria-labelledby="p-variants-label" role="navigation" > <input type="checkbox" class="vector-menu-checkbox vectorMenuCheckbox" aria-labelledby="p-variants-label" /> <h3 id="p-variants-label"> <span>Variants</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="menu vector-menu-content-list"></ul> </div> </nav> </div> <div id="right-navigation"> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-views" class="vector-menu vector-menu-tabs vectorTabs" aria-labelledby="p-views-label" role="navigation" > <h3 id="p-views-label"> <span>Views</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="ca-view" class="collapsible selected"><a href="/wiki/Proof">Read</a></li><li id="ca-edit" class="collapsible"><a href="/w/index.php?title=Proof&action=edit" title="Edit this page [e]" accesskey="e">Edit</a></li><li id="ca-history" class="collapsible"><a href="/w/index.php?title=Proof&action=history" title="Past revisions of this page [h]" accesskey="h">Fossil record</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-cactions" class="vector-menu-empty emptyPortlet vector-menu vector-menu-dropdown vectorMenu" aria-labelledby="p-cactions-label" role="navigation" > <input type="checkbox" class="vector-menu-checkbox vectorMenuCheckbox" aria-labelledby="p-cactions-label" /> <h3 id="p-cactions-label"> <span>More</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="menu vector-menu-content-list"></ul> </div> </nav> <div id="p-search" role="search"> <h3 > <label for="searchInput">Search</label> </h3> <form action="/w/index.php" id="searchform"> <div id="simpleSearch"> <input type="search" name="search" placeholder="Search RationalWiki" title="Search RationalWiki [f]" accesskey="f" id="searchInput"/> <input type="hidden" name="title" value="Special:Search"> <input type="submit" name="fulltext" value="Search" title="Search the pages for this text" id="mw-searchButton" class="searchButton mw-fallbackSearchButton"/> <input type="submit" name="go" value="Go" title="Go to a page with this exact name if it exists" id="searchButton" class="searchButton"/> </div> </form> </div> </div> </div> <div id="mw-panel"> <div id="p-logo" role="banner"> <a title="Visit the main page" class="mw-wiki-logo" href="/wiki/Main_Page"></a> </div> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-navigation" class="vector-menu vector-menu-portal portal portal-first" aria-labelledby="p-navigation-label" role="navigation" > <h3 id="p-navigation-label"> <span>Navigation</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="n-mainpage-description"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z">Main page</a></li><li id="n-recentchanges"><a href="/wiki/Special:RecentChanges" title="A list of recent changes in the wiki [r]" accesskey="r">Recent changes</a></li><li id="n-randompage"><a href="/wiki/Special:Random" title="Load a random mainspace article [x]" accesskey="x">Random page</a></li><li id="n-New-pages"><a href="/wiki/Special:NewPages">New pages</a></li><li id="n-All-logs"><a href="/wiki/Special:Log">All logs</a></li><li id="n-help"><a href="/wiki/Help:Contents" title="RTFM">Help</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-support" class="vector-menu vector-menu-portal portal" aria-labelledby="p-support-label" role="navigation" > <h3 id="p-support-label"> <span>Support</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="n-Donate"><a href="/wiki/RationalWiki:Site_support">Donate</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-community" class="vector-menu vector-menu-portal portal" aria-labelledby="p-community-label" role="navigation" > <h3 id="p-community-label"> <span>Community</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="n-Saloon-bar"><a href="/wiki/RationalWiki:Saloon_bar">Saloon bar</a></li><li id="n-To-do-list"><a href="/wiki/RationalWiki:To_do_list">To do list</a></li><li id="n-What-is-going-on.3F"><a href="/wiki/WIGO">What is going on?</a></li><li id="n-Best-of-RationalWiki"><a href="/wiki/RationalWiki:Contents">Best of RationalWiki</a></li><li id="n-About-RationalWiki"><a href="/wiki/RationalWiki">About RationalWiki</a></li><li id="n-Technical-support"><a href="/wiki/RationalWiki:Technical_support">Technical support</a></li><li id="n-Mod-noticeboard"><a href="/wiki/RationalWiki_talk:All_things_in_moderation">Mod noticeboard</a></li><li id="n-RMF-noticeboard"><a href="/wiki/RationalWiki_talk:RationalMedia_Foundation">RMF noticeboard</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-Social media" class="vector-menu vector-menu-portal portal" aria-labelledby="p-Social media-label" role="navigation" > <h3 id="p-Social media-label"> <span>Social media</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="n-Twitter"><a href="https://twitter.com/RationalWiki" rel="nofollow">Twitter</a></li><li id="n-Mastodon"><a href="https://mstdn.social/@rationalwiki" rel="nofollow">Mastodon</a></li><li id="n-Facebook"><a href="https://www.facebook.com/pages/Rationalwiki/226614404019306" rel="nofollow">Facebook</a></li><li id="n-Discord"><a href="/wiki/RationalWiki:Discord">Discord</a></li><li id="n-Reddit"><a href="/wiki/RationalWiki:Reddit">Reddit</a></li></ul> </div> </nav> <!-- Please do not use role attribute as CSS selector, it is deprecated. --> <nav id="p-tb" class="vector-menu vector-menu-portal portal" aria-labelledby="p-tb-label" role="navigation" > <h3 id="p-tb-label"> <span>Tools</span> </h3> <!-- Please do not use the .body class, it is deprecated. --> <div class="body vector-menu-content"> <!-- Please do not use the .menu class, it is deprecated. --> <ul class="vector-menu-content-list"><li id="t-whatlinkshere"><a href="/wiki/Special:WhatLinksHere/Proof" title="A list of all wiki pages that link here [j]" accesskey="j">What links here</a></li><li id="t-recentchangeslinked"><a href="/wiki/Special:RecentChangesLinked/Proof" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k">Related changes</a></li><li id="t-specialpages"><a href="/wiki/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q">Special pages</a></li><li id="t-print"><a href="javascript:print();" rel="alternate" title="Printable version of this page [p]" accesskey="p">Printable version</a></li><li id="t-permalink"><a href="/w/index.php?title=Proof&oldid=2411761" title="Permanent link to this revision of the page">Permanent link</a></li><li id="t-info"><a href="/w/index.php?title=Proof&action=info" title="More information about this page">Page information</a></li></ul> </div> </nav> </div> </div> <footer id="footer" class="mw-footer" role="contentinfo" > <ul id="footer-info" > <li id="footer-info-lastmod"> This page was last edited on 8 February 2022, at 18:18.</li> <li id="footer-info-copyright">Unless explicitly noted otherwise, all content licensed as indicated by <a name="Copyright" href="//rationalwiki.org/wiki/RationalWiki:Copyrights">RationalWiki:Copyrights</a>. <br> For concerns on copyright infringement please see: <a name="Copyright infringement" href="//rationalwiki.org/wiki/RationalWiki:Copyright_violations">RationalWiki:Copyright violations</a></li> </ul> <ul id="footer-places" > <li id="footer-places-privacy"><a href="/wiki/RationalWiki:Privacy_policy" title="RationalWiki:Privacy policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/RationalWiki:About" class="mw-redirect" title="RationalWiki:About">About RationalWiki</a></li> <li id="footer-places-disclaimer"><a href="/wiki/RationalWiki:General_disclaimer" title="RationalWiki:General disclaimer">Disclaimers</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://creativecommons.org/licenses/by-sa/3.0/"><img src="/w/88x31.png" alt="CC-BY-SA 3.0, or any later version" width="88" height="31" loading="lazy"/></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/"><img src="/w/resources/assets/poweredby_mediawiki_88x31.png" alt="Powered by MediaWiki" srcset="/w/resources/assets/poweredby_mediawiki_132x47.png 1.5x, /w/resources/assets/poweredby_mediawiki_176x62.png 2x" width="88" height="31" loading="lazy"/></a></li> </ul> <div style="clear: both;"></div> </footer> <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgPageParseReport":{"limitreport":{"cputime":"0.044","walltime":"0.067","ppvisitednodes":{"value":432,"limit":1000000},"postexpandincludesize":{"value":5960,"limit":2097152},"templateargumentsize":{"value":1702,"limit":2097152},"expansiondepth":{"value":10,"limit":40},"expensivefunctioncount":{"value":0,"limit":100},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":2022,"limit":5000000},"timingprofile":["100.00% 51.490 1 -total"," 45.35% 23.353 1 Template:Sciencenav"," 40.74% 20.978 1 Template:Navsidebar"," 32.58% 16.774 1 Template:Navsidebar2"," 29.17% 15.018 1 Template:Randomarticles"," 16.61% 8.551 2 Template:Reflist"," 12.15% 6.255 1 Template:Bronze"," 8.21% 4.226 2 Template:Quotebox"," 7.98% 4.108 1 Template:Efn"," 7.20% 3.708 1 Template:Main"]},"cachereport":{"origin":"apache5","timestamp":"20250322191336","ttl":86400,"transientcontent":false}}});mw.config.set({"wgBackendResponseTime":53,"wgHostname":"apache5"});});</script></body></html>