{"id":1240,"date":"2015-12-13T20:08:12","date_gmt":"2015-12-14T04:08:12","guid":{"rendered":"http:\/\/www.johnnylogic.org\/?p=1240"},"modified":"2015-12-13T20:46:33","modified_gmt":"2015-12-14T04:46:33","slug":"36-methods-of-proof","status":"publish","type":"post","link":"https:\/\/www.johnnylogic.org\/blog\/2015\/12\/13\/36-methods-of-proof\/","title":{"rendered":"36 Methods of Proof"},"content":{"rendered":"<table border=\"1\" width=\"637\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" colspan=\"3\" valign=\"top\" width=\"637\"><strong>36 Methods of Proof<\/strong><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">1<\/td>\n<td valign=\"top\" width=\"193\">Proof by obviousness<\/td>\n<td valign=\"top\" width=\"402\">&#8220;The proof is so clear that it need not be mentioned.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">2<\/td>\n<td valign=\"top\" width=\"193\">Proof by general agreement<\/td>\n<td valign=\"top\" width=\"402\">&#8220;All in favor?&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">3<\/td>\n<td valign=\"top\" width=\"193\">Proof by imagination<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Well, we&#8217;ll pretend it&#8217;s true&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">4<\/td>\n<td valign=\"top\" width=\"193\">Proof by convenience<\/td>\n<td valign=\"top\" width=\"402\">&#8220;It would be very nice if it were true, so&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">5<\/td>\n<td valign=\"top\" width=\"193\">Proof by necessity<\/td>\n<td valign=\"top\" width=\"402\">&#8220;It had better be true, or the entire structure of mathematics would crumble to the ground.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">6<\/td>\n<td valign=\"top\" width=\"193\">Proof by plausibility<\/td>\n<td valign=\"top\" width=\"402\">&#8220;It sounds good so it must be true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">7<\/td>\n<td valign=\"top\" width=\"193\">Proof by intimidation<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Don&#8217;t be stupid; of course it&#8217;s true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">8<\/td>\n<td valign=\"top\" width=\"193\">Proof by lack of sufficient time<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Because of the time constraint, I&#8217;ll leave the proof to you.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">9<\/td>\n<td valign=\"top\" width=\"193\">Proof by postponement<\/td>\n<td valign=\"top\" width=\"402\">&#8220;The proof for this is long and arduous, so it is given in the appendix.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">10<\/td>\n<td valign=\"top\" width=\"193\">Proof by accident<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Hey, what have we here?!&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">11<\/td>\n<td valign=\"top\" width=\"193\">Proof by insignificance<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Who really cares, anyway?&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">12<\/td>\n<td valign=\"top\" width=\"193\">Proof by mumbo-jumbo<\/td>\n<td valign=\"top\" width=\"402\">\u00a0<a href=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/mumbo.gif?ssl=1\" rel=\"attachment wp-att-1423\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"1423\" data-permalink=\"https:\/\/www.johnnylogic.org\/blog\/2015\/12\/13\/36-methods-of-proof\/mumbo\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/mumbo.gif?fit=154%2C12&amp;ssl=1\" data-orig-size=\"154,12\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"mumbo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/mumbo.gif?fit=154%2C12&amp;ssl=1\" class=\"alignnone size-full wp-image-1423\" src=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/mumbo.gif?resize=154%2C12&#038;ssl=1\" alt=\"mumbo\" width=\"154\" height=\"12\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">13<\/td>\n<td valign=\"top\" width=\"193\">Proof by profanity<\/td>\n<td valign=\"top\" width=\"402\">(example omitted)<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">14<\/td>\n<td valign=\"top\" width=\"193\">Proof by definition<\/td>\n<td valign=\"top\" width=\"402\">&#8220;We define it to be true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">15<\/td>\n<td valign=\"top\" width=\"193\">Proof by tautology<\/td>\n<td valign=\"top\" width=\"402\">It&#8217;s true because it&#8217;s true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">16<\/td>\n<td valign=\"top\" width=\"193\">Proof by plagiarism<\/td>\n<td valign=\"top\" width=\"402\">&#8220;As we see on page\u00a0289,&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">17<\/td>\n<td valign=\"top\" width=\"193\">Proof by lost reference<\/td>\n<td valign=\"top\" width=\"402\">&#8220;I know I saw it\u00a0somewhere&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">18<\/td>\n<td valign=\"top\" width=\"193\">Proof by calculus<\/td>\n<td valign=\"top\" width=\"402\">&#8220;This proof requires<\/p>\n<div>calculus, so we&#8217;ll skip it.&#8221;<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">19<\/td>\n<td valign=\"top\" width=\"193\">Proof by terror<\/td>\n<td valign=\"top\" width=\"402\">When intimidation fails&#8230;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">20<\/td>\n<td valign=\"top\" width=\"193\">Proof by lack of interest<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Does anyone really\u00a0want to see this?&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">21<\/td>\n<td valign=\"top\" width=\"193\">Proof by illegibility<\/td>\n<td valign=\"top\" width=\"402\">\u00a0<a href=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?ssl=1\" rel=\"attachment wp-att-1424\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"1424\" data-permalink=\"https:\/\/www.johnnylogic.org\/blog\/2015\/12\/13\/36-methods-of-proof\/illeg\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?fit=300%2C12&amp;ssl=1\" data-orig-size=\"300,12\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"illeg\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?fit=300%2C12&amp;ssl=1\" class=\"alignnone size-medium wp-image-1424\" src=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?resize=300%2C12&#038;ssl=1\" alt=\"illeg\" width=\"300\" height=\"12\" srcset=\"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?resize=300%2C12&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/illeg.gif?resize=270%2C12&amp;ssl=1 270w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">22<\/td>\n<td valign=\"top\" width=\"193\">Proof by logic<\/td>\n<td valign=\"top\" width=\"402\">&#8220;If it is on the\u00a0problem sheet, then it must be true!&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">23<\/td>\n<td valign=\"top\" width=\"193\">Proof by majority rule<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Only to be used if\u00a0general agreement is impossible.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">24<\/td>\n<td valign=\"top\" width=\"193\">Proof by clever variable choice<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Let A be the number\u00a0such that this proof works&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">25<\/td>\n<td valign=\"top\" width=\"193\">Proof by tessellation<\/td>\n<td valign=\"top\" width=\"402\">&#8220;This proof works the\u00a0same as the last.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">26<\/td>\n<td valign=\"top\" width=\"193\">Proof by divine word<\/td>\n<td valign=\"top\" width=\"402\">&#8220;&#8230;And the Lord said,\u00a0&#8216;Let it be true,&#8217; and it was true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">27<\/td>\n<td valign=\"top\" width=\"193\">Proof by stubbornness<\/td>\n<td valign=\"top\" width=\"402\">&#8220;I don&#8217;t care what you\u00a0say-it is true!&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">28<\/td>\n<td valign=\"top\" width=\"193\">Proof by simplification<\/td>\n<td valign=\"top\" width=\"402\">&#8220;This proof reduces to\u00a0the statement 1+1=2.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">29<\/td>\n<td valign=\"top\" width=\"193\">Proof by hasty generalization<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Well, it works for\u00a017, so it works for all real numbers.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">30<\/td>\n<td valign=\"top\" width=\"193\">Proof by deception<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Now everyone turn\u00a0their backs&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">31<\/td>\n<td valign=\"top\" width=\"193\">Proof by supplication<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Oh please, let it be\u00a0true.&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">32<\/td>\n<td valign=\"top\" width=\"193\">Proof by poor analogy<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Well, it&#8217;s just\u00a0like&#8230;&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">33<\/td>\n<td valign=\"top\" width=\"193\">Proof by avoidance<\/td>\n<td valign=\"top\" width=\"402\">Limit of proof by\u00a0postponement as it approaches infinity<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">34<\/td>\n<td valign=\"top\" width=\"193\">Proof by design<\/td>\n<td valign=\"top\" width=\"402\">If it&#8217;s not true in today&#8217;s\u00a0math, invent a new system in which it is.<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">35<\/td>\n<td valign=\"top\" width=\"193\">Proof by authority<\/td>\n<td valign=\"top\" width=\"402\">&#8220;Well, Ruth Kraus says\u00a0it&#8217;s true, so it must be!&#8221;<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"42\">36<\/td>\n<td valign=\"top\" width=\"193\">Proof by intuition<\/td>\n<td valign=\"top\" width=\"402\">&#8220;I just have this gut\u00a0feeling&#8230;&#8221;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>36 Methods of Proof 1 Proof by obviousness &#8220;The proof is so clear that it need not be mentioned.&#8221; 2 Proof by general agreement &#8220;All in favor?&#8230;&#8221; 3 Proof by imagination &#8220;Well, we&#8217;ll pretend it&#8217;s true&#8230;&#8221; 4 Proof by convenience &#8220;It would be very nice if it were true, so&#8230;&#8221; 5 Proof by necessity &#8220;It [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1468,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"class_list":{"0":"post-1240","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-blog","8":"czr-hentry"},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.johnnylogic.org\/blog\/wp-content\/uploads\/2015\/12\/crazy-professor.jpg?fit=225%2C225&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p71YpQ-k0","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/1240","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/comments?post=1240"}],"version-history":[{"count":3,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/1240\/revisions"}],"predecessor-version":[{"id":1469,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/1240\/revisions\/1469"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/media\/1468"}],"wp:attachment":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/media?parent=1240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/categories?post=1240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/tags?post=1240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}