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		<id>https://www.explainxkcd.com/wiki/index.php?action=history&amp;feed=atom&amp;title=3201%3A_Proof_Without_Content</id>
		<title>3201: Proof Without Content - Revision history</title>
		<link rel="self" type="application/atom+xml" href="https://www.explainxkcd.com/wiki/index.php?action=history&amp;feed=atom&amp;title=3201%3A_Proof_Without_Content"/>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;action=history"/>
		<updated>2026-05-01T17:10:05Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407819&amp;oldid=prev</id>
		<title>81.179.199.253: Trying too hard. It was already a decently funny faux-note as a *slight* amendment to the usual., before muddying the waters completely.</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407819&amp;oldid=prev"/>
				<updated>2026-03-08T01:02:32Z</updated>
		
		<summary type="html">&lt;p&gt;Trying too hard. It was already a decently funny faux-note as a *slight* amendment to the usual., before muddying the waters completely.&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 01:02, 8 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot; &gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;incomplete &lt;/del&gt;proof&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;:&amp;#160; &lt;/del&gt;]]&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;‎ ‎&amp;#160; ‎ ‎ &lt;/del&gt;]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;needed&lt;/ins&gt;]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>81.179.199.253</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407818&amp;oldid=prev</id>
		<title>Eelitee at 00:43, 8 March 2026</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407818&amp;oldid=prev"/>
				<updated>2026-03-08T00:43:33Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:43, 8 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot; &gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;‎&amp;#160; ‎&amp;#160; ‎&amp;#160; ‎ &lt;/del&gt; ‎ &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;‎&amp;#160; ‎ &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160;  &lt;/del&gt;‎ &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/del&gt;]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof:&amp;#160; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/ins&gt;‎ ‎&amp;#160; ‎ ‎ ]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Eelitee</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407817&amp;oldid=prev</id>
		<title>Eelitee at 00:43, 8 March 2026</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407817&amp;oldid=prev"/>
				<updated>2026-03-08T00:43:13Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:43, 8 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot; &gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &lt;/del&gt;‎ ]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;‎&amp;#160; ‎&amp;#160; ‎&amp;#160; ‎&amp;#160; ‎&amp;#160; ‎&amp;#160; ‎&amp;#160; &amp;#160; &lt;/ins&gt;‎ ]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Eelitee</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407816&amp;oldid=prev</id>
		<title>Eelitee: technically speaking</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407816&amp;oldid=prev"/>
				<updated>2026-03-08T00:42:59Z</updated>
		
		<summary type="html">&lt;p&gt;technically speaking&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:42, 8 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot; &gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof:&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  ]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|incomplete proof:&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;‎ &lt;/ins&gt;]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Eelitee</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407815&amp;oldid=prev</id>
		<title>Eelitee at 00:42, 8 March 2026</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=407815&amp;oldid=prev"/>
				<updated>2026-03-08T00:42:24Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:42, 8 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot; &gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. However, this comic presents a proof with no content whatsoever inside the ''Proof:'' box, and is instead apparently proven by the existence of the proof itself. The comic additionally suggests that this proof is ''convincing'', which is subjective.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;needed&lt;/del&gt;]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;incomplete &lt;/ins&gt;proof&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;:&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  &lt;/ins&gt;]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Eelitee</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=406551&amp;oldid=prev</id>
		<title>148.85.255.18: Edited several sentences for clarity and correctness; see changes for yourself, I'm bad at describing this</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=406551&amp;oldid=prev"/>
				<updated>2026-02-18T21:30:09Z</updated>
		
		<summary type="html">&lt;p&gt;Edited several sentences for clarity and correctness; see changes for yourself, I&amp;#039;m bad at describing this&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 21:30, 18 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot; &gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;The &lt;/del&gt;comic &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;gives an example of &lt;/del&gt;a proof &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;without any &lt;/del&gt;content &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;at all, which proves its own existence. The empty box could be construed as &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;rectangle denoting what has been proved (&lt;/del&gt;'&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;QED&lt;/del&gt;'&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;)&lt;/del&gt;, and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;since it &lt;/del&gt;is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;part &lt;/del&gt;of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;diagram, it avoids being content&lt;/del&gt;. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;However, it claims to be a &lt;/del&gt;''convincing'' &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;proof&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;which &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;it might fall a bit short&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;However, this &lt;/ins&gt;comic &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;presents &lt;/ins&gt;a proof &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;with no &lt;/ins&gt;content &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;whatsoever inside &lt;/ins&gt;the ''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Proof:'' box&lt;/ins&gt;, and is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;instead apparently proven by the existence &lt;/ins&gt;of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;proof itself&lt;/ins&gt;. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;The comic additionally suggests that this proof is &lt;/ins&gt;''convincing'', which &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;is subjective&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;all other &lt;/del&gt;conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;comic &lt;/del&gt;is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;conjecture-proof pair &lt;/ins&gt;is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Transcript==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Transcript==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>148.85.255.18</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404842&amp;oldid=prev</id>
		<title>82.13.184.33: /* Explanation */</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404842&amp;oldid=prev"/>
				<updated>2026-02-03T09:34:32Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:34, 3 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot; &gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;. However, it claims to be a ''convincing'' proof, in which it might fall a bit short&lt;/del&gt;. The empty box could be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;understood &lt;/del&gt;as the rectangle &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;used to denote it &lt;/del&gt;has been proved &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;aka &lt;/del&gt;'QED', and since it is part of the diagram, it avoids being content. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Note that this conjecture cannot &lt;/del&gt;be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;generalized and the &lt;/del&gt;proof &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;only proves this special case: the vast majority of all other conjectures cannot be proven without content&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence. The empty box could be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;construed &lt;/ins&gt;as the rectangle &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;denoting what &lt;/ins&gt;has been proved &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(&lt;/ins&gt;'QED'&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;)&lt;/ins&gt;, and since it is part of the diagram, it avoids being content. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;However, it claims to &lt;/ins&gt;be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a ''convincing'' &lt;/ins&gt;proof&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, in which it might fall a bit short&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of all other conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; &lt;/ins&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;also &lt;/del&gt;be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is {{w|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;}}.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the comic is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the comic is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>82.13.184.33</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404841&amp;oldid=prev</id>
		<title>82.13.184.33: /* Explanation */</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404841&amp;oldid=prev"/>
				<updated>2026-02-03T09:26:16Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:26, 3 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot; &gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a &lt;/del&gt;{{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence. However, it claims to be a ''convincing'' proof, in which it might fall a bit short. The empty box could be understood as the rectangle used to denote it has been proved aka 'QED', and since it is part of the diagram, it avoids being content. Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of all other conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence. However, it claims to be a ''convincing'' proof, in which it might fall a bit short. The empty box could be understood as the rectangle used to denote it has been proved aka 'QED', and since it is part of the diagram, it avoids being content. Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of all other conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>82.13.184.33</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404820&amp;oldid=prev</id>
		<title>81.179.199.253: /* Explanation */ Simplify.</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404820&amp;oldid=prev"/>
				<updated>2026-02-03T01:04:01Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation: &lt;/span&gt; Simplify.&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 01:04, 3 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l16&quot; &gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could also be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[wikipedia:The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;&lt;/del&gt;|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This could also be a parody on scientists sometimes creating empty papers as an inside joke, such as [https://ciencias.ulisboa.pt/sites/default/files/fcul/outros/Chemical-Free.pdf a comprehensive overview of chemical-free consumer products] – the point with that paper being that the {{wiktionary|chemical#Usage notes|lay meaning}} behind &amp;quot;chemical-free&amp;quot; can be considered technically nonsensical, given that anything physical contains chemical elements, so no products can be free of them. (And, even in the various more vague senses that may be intended, it {{w|Appeal to nature#Examples|isn't necessarily}} as good a selling point as it may try to suggest.) Another example of an academic article without words is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{w&lt;/ins&gt;|The Unsuccessful Self-Treatment of a Case of &amp;quot;Writer's Block&amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}}&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the comic is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The title text refers to another proof without content, that a conjecture without content could exist. This would imply a conjecture-proof pair with no content whatsoever. This could only be discussed indirectly, which is why it is mentioned and left as an {{w|Proof by Intimidation|exercise for the reader}}. Alternatively, the exercise could be forming the conjecture and proof itself if the comic is interpreted as a blank sheet of paper.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>81.179.199.253</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404816&amp;oldid=prev</id>
		<title>203.164.245.160: /* Explanation */ the box means QED</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3201:_Proof_Without_Content&amp;diff=404816&amp;oldid=prev"/>
				<updated>2026-02-03T00:58:08Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Explanation: &lt;/span&gt; the box means QED&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr style=&quot;vertical-align: top;&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:58, 3 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot; &gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{incomplete|This page IS THE PROOF OF ITS OWN CREATION. Don't remove this notice too soon.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to a {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence. However, it claims to be a ''convincing'' proof, in which it might fall a bit short. Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of all other conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This comic refers to a {{w|Proof without words|proofs without words}}, which rely on images or other geometric tools to visually demonstrate a concept without further explanation. The comic gives an example of a proof without any content at all, which proves its own existence. However, it claims to be a ''convincing'' proof, in which it might fall a bit short&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. The empty box could be understood as the rectangle used to denote it has been proved aka 'QED', and since it is part of the diagram, it avoids being content&lt;/ins&gt;. Note that this conjecture cannot be generalized and the proof only proves this special case: the vast majority of all other conjectures cannot be proven without content.&amp;lt;sup&amp;gt;[&amp;amp;#8203;[[285: Wikipedian Protester|proof needed]]]&amp;lt;/sup&amp;gt; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This proof requires the conjecture to be stated, which could be construed as content.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>203.164.245.160</name></author>	</entry>

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