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		<id>https://www.explainxkcd.com/wiki/index.php?action=history&amp;feed=atom&amp;title=1153%3A_Proof</id>
		<title>1153: Proof - Revision history</title>
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		<updated>2026-04-10T04:10:20Z</updated>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=349709&amp;oldid=prev</id>
		<title>172.69.23.173: /* Explanation */</title>
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				<updated>2024-09-01T00:45:11Z</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;
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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 00:45, 1 September 2024&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;There are two possible law vs math/logic puns in the comic, on the words &amp;quot;approach&amp;quot; and &amp;quot;proof.&amp;quot; &amp;quot;{{w|Approach the bench}}&amp;quot; is a legal term meaning to have a private conversation with the judge; approach in calculus means an infinite process where a function value gets closer and closer to a {{w|Limit (mathematics)|limit}} value that it never actually reaches, reminiscent of Zeno's paradoxes. &amp;quot;Proof&amp;quot; is also ambiguous, with a different meaning in formal mathematics than in {{w|jurisprudence}}. See {{w|Proof (truth)}} and {{w|Mathematical Proof}}, for example.&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;There are two possible law vs math/logic puns in the comic, on the words &amp;quot;approach&amp;quot; and &amp;quot;proof.&amp;quot; &amp;quot;{{w|Approach the bench}}&amp;quot; is a legal term meaning to have a private conversation with the judge; approach in calculus means an infinite process where a function value gets closer and closer to a {{w|Limit (mathematics)|limit}} value that it never actually reaches, reminiscent of Zeno's paradoxes. &amp;quot;Proof&amp;quot; is also ambiguous, with a different meaning in formal mathematics than in {{w|jurisprudence}}. See {{w|Proof (truth)}} and {{w|Mathematical Proof}}, for example.&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;{{w|Gottfried Leibniz}} is the co-inventor of {{w|calculus}} (along with Isaac Newton; see [[626: Newton and Leibniz]]). If Leibniz were to testify in this imaginary trial, he might argue that calculus invalidates Zeno's paradoxes, because the moving arrow has a different velocity than a stationary one (the function describing the motion has a nonzero derivative at the point), and the {{w|infinite series}} in the dichotomy paradox has a finite sum. Both Zeno and calculus assume a continuous, infinitely divisible, ideal {{w|spacetime}} (as does {{w|quantum mechanics}}); a different solution would be available if spacetime turns out to be discrete. However, Zeno is arguably not concerned with actually calculating the correct answer. In the real world, Zeno can be trivially disproven simply by moving and reaching a desired target (it is said that Diogenes the Cynic reacted to the paradox by wordlessly walking to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a destination&lt;/del&gt;, to demonstrate his contempt for it). It remains a question of debate whether a mathematical approach addresses the central points in Zeno's arguments.&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;{{w|Gottfried Leibniz}} is the co-inventor of {{w|calculus}} (along with Isaac Newton; see [[626: Newton and Leibniz]]). If Leibniz were to testify in this imaginary trial, he might argue that calculus invalidates Zeno's paradoxes, because the moving arrow has a different velocity than a stationary one (the function describing the motion has a nonzero derivative at the point), and the {{w|infinite series}} in the dichotomy paradox has a finite sum. Both Zeno and calculus assume a continuous, infinitely divisible, ideal {{w|spacetime}} (as does {{w|quantum mechanics}}); a different solution would be available if spacetime turns out to be discrete. However, Zeno is arguably not concerned with actually calculating the correct answer. In the real world, Zeno can be trivially disproven simply by moving and reaching a desired target (it is said that Diogenes the Cynic reacted to the paradox by wordlessly walking &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;from one side of a room &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the other&lt;/ins&gt;, to demonstrate his contempt for it). It remains a question of debate whether a mathematical approach addresses the central points in Zeno's arguments.&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;[[994: Advent Calendar]] is also about Zeno.&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;[[994: Advent Calendar]] is also about Zeno.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>172.69.23.173</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=283227&amp;oldid=prev</id>
		<title>Theusaf: Reverted edits by Donald Trump (talk) to last revision by CRLF</title>
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				<updated>2022-05-26T19:58:03Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edits by &lt;a href=&quot;/wiki/index.php/Special:Contributions/Donald_Trump&quot; title=&quot;Special:Contributions/Donald Trump&quot;&gt;Donald Trump&lt;/a&gt; (&lt;a href=&quot;/wiki/index.php?title=User_talk:Donald_Trump&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:Donald Trump (page does not exist)&quot;&gt;talk&lt;/a&gt;) to last revision by &lt;a href=&quot;/wiki/index.php/User:CRLF&quot; title=&quot;User:CRLF&quot;&gt;CRLF&lt;/a&gt;&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=283227&amp;amp;oldid=282129&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Theusaf</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=282129&amp;oldid=prev</id>
		<title>Donald Trump: Reverted edit by anti-crap user</title>
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				<updated>2022-05-26T19:04:26Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edit by anti-crap user&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=282129&amp;amp;oldid=279926&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Donald Trump</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=279926&amp;oldid=prev</id>
		<title>CRLF: Reverted vandalism with User:CRLF/OneClickUndo.js</title>
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				<updated>2022-05-26T17:52:25Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted vandalism with &lt;a href=&quot;/wiki/index.php/User:CRLF/OneClickUndo.js&quot; title=&quot;User:CRLF/OneClickUndo.js&quot;&gt;User:CRLF/OneClickUndo.js&lt;/a&gt;&lt;/p&gt;
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		<author><name>CRLF</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=278768&amp;oldid=prev</id>
		<title>Donald Trump: Reverted edit by anti-crap user</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=278768&amp;oldid=prev"/>
				<updated>2022-05-26T17:24:13Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edit by anti-crap user&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=278768&amp;amp;oldid=276521&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Donald Trump</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=276521&amp;oldid=prev</id>
		<title>CRLF: Reverted vandalism with User:CRLF/OneClickUndo.js</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=276521&amp;oldid=prev"/>
				<updated>2022-05-23T18:45:32Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted vandalism with &lt;a href=&quot;/wiki/index.php/User:CRLF/OneClickUndo.js&quot; title=&quot;User:CRLF/OneClickUndo.js&quot;&gt;User:CRLF/OneClickUndo.js&lt;/a&gt;&lt;/p&gt;
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		<author><name>CRLF</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=274568&amp;oldid=prev</id>
		<title>Xray Kilo Charlie Delta: haha your js cant stop my js</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=274568&amp;oldid=prev"/>
				<updated>2022-05-23T18:17:12Z</updated>
		
		<summary type="html">&lt;p&gt;haha your js cant stop my js&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=274568&amp;amp;oldid=272518&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Xray Kilo Charlie Delta</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=272518&amp;oldid=prev</id>
		<title>108.162.250.186: Undo revision 270767 by Explain xkcd server admin (talk)</title>
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				<updated>2022-05-21T01:21:51Z</updated>
		
		<summary type="html">&lt;p&gt;Undo revision 270767 by &lt;a href=&quot;/wiki/index.php/Special:Contributions/Explain_xkcd_server_admin&quot; title=&quot;Special:Contributions/Explain xkcd server admin&quot;&gt;Explain xkcd server admin&lt;/a&gt; (&lt;a href=&quot;/wiki/index.php?title=User_talk:Explain_xkcd_server_admin&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:Explain xkcd server admin (page does not exist)&quot;&gt;talk&lt;/a&gt;)&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=272518&amp;amp;oldid=270767&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>108.162.250.186</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=270767&amp;oldid=prev</id>
		<title>Explain xkcd server admin at 21:24, 20 May 2022</title>
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				<updated>2022-05-20T21:24:10Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=270767&amp;amp;oldid=267627&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Explain xkcd server admin</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=267627&amp;oldid=prev</id>
		<title>Theusaf: Reverted edits by 👖🔥 (talk) to last revision by Jacky720</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;diff=267627&amp;oldid=prev"/>
				<updated>2022-05-11T18:44:20Z</updated>
		
		<summary type="html">&lt;p&gt;Reverted edits by &lt;a href=&quot;/wiki/index.php/Special:Contributions/%F0%9F%91%96%F0%9F%94%A5&quot; title=&quot;Special:Contributions/👖🔥&quot;&gt;👖🔥&lt;/a&gt; (&lt;a href=&quot;/wiki/index.php?title=User_talk:%F0%9F%91%96%F0%9F%94%A5&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User talk:👖🔥 (page does not exist)&quot;&gt;talk&lt;/a&gt;) to last revision by &lt;a href=&quot;/wiki/index.php/User:Jacky720&quot; title=&quot;User:Jacky720&quot;&gt;Jacky720&lt;/a&gt;&lt;/p&gt;
&lt;a href=&quot;//www.explainxkcd.com/wiki/index.php?title=1153:_Proof&amp;amp;diff=267627&amp;amp;oldid=266743&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Theusaf</name></author>	</entry>

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