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	<title>Comments on: The Human Yardstick</title>
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	<link>https://www.isegoria.net/2014/06/the-human-yardstick/</link>
	<description>From the ancient Greek for equality in freedom of speech; an eclectic mix of thoughts, large and small</description>
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		<title>By: Candide III</title>
		<link>https://www.isegoria.net/2014/06/the-human-yardstick/comment-page-1/#comment-1303802</link>
		<dc:creator>Candide III</dc:creator>
		<pubDate>Fri, 20 Jun 2014 06:30:36 +0000</pubDate>
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		<description><![CDATA[Gwern: +1. It&#039;s like those &lt;a href=&quot;http://en.wikipedia.org/wiki/New_Chronology_%28Fomenko%29&quot;&gt;historical theories&lt;/a&gt; that Napoleon and Julius Caesar were actually the same person etc. that seem to surface with some regularity.]]></description>
		<content:encoded><![CDATA[<p>Gwern: +1. It&#8217;s like those <a href="http://en.wikipedia.org/wiki/New_Chronology_%28Fomenko%29">historical theories</a> that Napoleon and Julius Caesar were actually the same person etc. that seem to surface with some regularity.</p>
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		<title>By: Gwern</title>
		<link>https://www.isegoria.net/2014/06/the-human-yardstick/comment-page-1/#comment-1302905</link>
		<dc:creator>Gwern</dc:creator>
		<pubDate>Thu, 19 Jun 2014 15:39:31 +0000</pubDate>
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		<description><![CDATA[Eh... His list of empires is short, his table on page 4 excludes several he mentions in his text, like the Babylonian Empire, he&#039;s definitely tilting the numbers the way he wants (what are the odds of 3 out of the 11 empires listed all lasting &lt;em&gt;exactly&lt;/em&gt; 250 years when the range is 207&#8211;267?*), and &lt;a href=&quot;http://blogs.discovermagazine.com/gnxp/2011/08/the-fall-of-empires-as-an-exponential-distribution/&quot;&gt;later research&lt;/a&gt; which looks more comprehensive shows no cliff at 250 years but just an exponential.  That dataset suggests a mean somewhat close to 250 (220 years) but the exponential distribution, if true, strongly argues against any kind of &quot;life cycle of empires&quot;.

* Assuming that he had for some reason chosen in advance to list only empires lasting 207 to 267 years and empire-years are distributed uniformly at random, then we can see how many &quot;collisions&quot; we&#039;d expect using a variant on the &lt;a href=&quot;https://en.wikipedia.org/wiki/Birthday_paradox#Collision_counting&quot;&gt;birthday paradox&lt;/a&gt; &#8212; in Haskell: &lt;code&gt;`let n = 11 in let d = (267-207) in n - d + (d*(((d-1)/d)^11))` ~&gt; 0.87&lt;/code&gt;. So we&#039;d expect less than 1 collision (and certainly not 2 collisions on the same year-count), if he weren&#039;t rounding numbers or something like that.]]></description>
		<content:encoded><![CDATA[<p>Eh&#8230; His list of empires is short, his table on page 4 excludes several he mentions in his text, like the Babylonian Empire, he&#8217;s definitely tilting the numbers the way he wants (what are the odds of 3 out of the 11 empires listed all lasting <em>exactly</em> 250 years when the range is 207&ndash;267?*), and <a href="http://blogs.discovermagazine.com/gnxp/2011/08/the-fall-of-empires-as-an-exponential-distribution/">later research</a> which looks more comprehensive shows no cliff at 250 years but just an exponential.  That dataset suggests a mean somewhat close to 250 (220 years) but the exponential distribution, if true, strongly argues against any kind of &#8220;life cycle of empires&#8221;.</p>
<p>* Assuming that he had for some reason chosen in advance to list only empires lasting 207 to 267 years and empire-years are distributed uniformly at random, then we can see how many &#8220;collisions&#8221; we&#8217;d expect using a variant on the <a href="https://en.wikipedia.org/wiki/Birthday_paradox#Collision_counting">birthday paradox</a> &mdash; in Haskell: <code>`let n = 11 in let d = (267-207) in n - d + (d*(((d-1)/d)^11))` ~&gt; 0.87</code>. So we&#8217;d expect less than 1 collision (and certainly not 2 collisions on the same year-count), if he weren&#8217;t rounding numbers or something like that.</p>
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		<title>By: Marc Pisco</title>
		<link>https://www.isegoria.net/2014/06/the-human-yardstick/comment-page-1/#comment-1302648</link>
		<dc:creator>Marc Pisco</dc:creator>
		<pubDate>Thu, 19 Jun 2014 11:36:09 +0000</pubDate>
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		<description><![CDATA[...who, I hadn&#039;t known, ended up &lt;a href=&quot;http://en.m.wikipedia.org/wiki/Oliver_R._Smoot&quot;&gt;president of ANSI and ISO&lt;/a&gt;, very appropriately.]]></description>
		<content:encoded><![CDATA[<p>&#8230;who, I hadn&#8217;t known, ended up <a href="http://en.m.wikipedia.org/wiki/Oliver_R._Smoot">president of ANSI and ISO</a>, very appropriately.</p>
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		<title>By: Marc Pisco</title>
		<link>https://www.isegoria.net/2014/06/the-human-yardstick/comment-page-1/#comment-1302641</link>
		<dc:creator>Marc Pisco</dc:creator>
		<pubDate>Thu, 19 Jun 2014 11:27:35 +0000</pubDate>
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		<description><![CDATA[I thought you meant &lt;a href=&quot;http://en.m.wikipedia.org/wiki/Smoot&quot;&gt;this guy&lt;/a&gt;.]]></description>
		<content:encoded><![CDATA[<p>I thought you meant <a href="http://en.m.wikipedia.org/wiki/Smoot">this guy</a>.</p>
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