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  <id>http://groups.google.com.sg/group/sci.math</id>
  <title type="text">sci.math Google Group</title>
  <subtitle type="text">
  Mathematical discussions and pursuits.
  </subtitle>
  <link href="/group/sci.math/feed/atom_v1_0_msgs.xml" rel="self" title="sci.math feed"/>
  <updated>2008-08-22T04:04:42Z</updated>
  <generator uri="http://groups.google.com.sg" version="1.99">Google Groups</generator>
  <entry>
  <author>
  <email>cbr...@cbrownsystems.com</email>
  </author>
  <updated>2008-08-22T04:04:42Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/d71aaa8e07e3af15/bc6ccc4d814b14ed?show_docid=bc6ccc4d814b14ed</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/d71aaa8e07e3af15/bc6ccc4d814b14ed?show_docid=bc6ccc4d814b14ed"/>
  <title type="text">Re: Implementable Set Theory and Consistency of ZFC</title>
  <summary type="html" xml:space="preserve">
  On Aug 21, 9:32 am, Brian Chandler &amp;lt;imaginator...@despammed.com&amp;gt; &lt;br&gt; wrote: &lt;br&gt; By law, if you look at the bottom of the package, you should see &lt;br&gt; something along the lines of &#39;BEST DEBUNKED BEFORE 23 AUG 2008&amp;quot;. &lt;br&gt; Cheers - Chas
  </summary>
  </entry>
  <entry>
  <author>
  <name>rer</name>
  <email>reri...@gmail.com</email>
  </author>
  <updated>2008-08-22T03:36:35Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/8e15c05557373c0d/6c895367d96b037e?show_docid=6c895367d96b037e</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/8e15c05557373c0d/6c895367d96b037e?show_docid=6c895367d96b037e"/>
  <title type="text">Integer Solutions for Expanded Pythagorean Triples of the Form b^n=((c+a)^(n-1))*(c-a)</title>
  <summary type="html" xml:space="preserve">
  Pythagorean triples are integer solutions to the equation: &lt;br&gt; a^2+b^2=c^2 &lt;br&gt; If u and v are positive integers, with v&amp;gt;u and a=v^2-u^2, b=2uv, and &lt;br&gt; c=v^2+u^2 provides integer solutions to a^2+b^2=c^2 &lt;br&gt; Now a^2+b^2=c^2 can be rewritten as: &lt;br&gt; b^2=c^2-a^2 &lt;br&gt; and further to &lt;br&gt; b^2=(c+a)(c-a) &lt;br&gt; Consider then integer solutions to the more general equation (where n
  </summary>
  </entry>
  <entry>
  <author>
  <email>birdhal...@yahoo.com</email>
  </author>
  <updated>2008-08-22T03:32:06Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/0b31cb480d435147/d359532b8c90e504?show_docid=d359532b8c90e504</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/0b31cb480d435147/d359532b8c90e504?show_docid=d359532b8c90e504"/>
  <title type="text">Re: GPS Math</title>
  <summary type="html" xml:space="preserve">
  Yea man i don&#39;t mind an ideal approach. But the explanation of your &lt;br&gt; terms on your page sucks. Readabilty&amp;amp;Format -5. &lt;br&gt; Stop bothering the Quakers.
  </summary>
  </entry>
  <entry>
  <author>
  <name>MoeBlee</name>
  <email>jazzm...@hotmail.com</email>
  </author>
  <updated>2008-08-22T03:12:00Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/003cd3b39c435fbb?show_docid=003cd3b39c435fbb</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/003cd3b39c435fbb?show_docid=003cd3b39c435fbb"/>
  <title type="text">Re: Outofprintmath (was: Re: Rudin and Dedekind cuts)</title>
  <summary type="html" xml:space="preserve">
  a generous and interesting post. &lt;br&gt; Thanks, Tim, for that post, and for your project. &lt;br&gt; MoeBlee
  </summary>
  </entry>
  <entry>
  <author>
  <name>MoeBlee</name>
  <email>jazzm...@hotmail.com</email>
  </author>
  <updated>2008-08-22T03:07:03Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/65b821d59bbfc7ca?show_docid=65b821d59bbfc7ca</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/65b821d59bbfc7ca?show_docid=65b821d59bbfc7ca"/>
  <title type="text">Re: Godel Incompleteness Theorem</title>
  <summary type="html" xml:space="preserve">
  I don&#39;t. As I recall, there are more than two sorts. I mentioned that &lt;br&gt; explicitly. &lt;br&gt; So what is that there is nothing at all errant in Tim mentioning that &lt;br&gt; to be faithful to Godel&#39;s formulations but in terms of more &lt;br&gt; contemporary terminology and methods, we could describe his informal &lt;br&gt; meta-language as multi-sorted (or however exactly Tim couched the
  </summary>
  </entry>
  <entry>
  <author>
  <name>hanson</name>
  <email>han...@quick.net</email>
  </author>
  <updated>2008-08-22T03:04:08Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/6b4caca508a144f3/66284a8cfa3ed25d?show_docid=66284a8cfa3ed25d</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/6b4caca508a144f3/66284a8cfa3ed25d?show_docid=66284a8cfa3ed25d"/>
  <title type="text">Re: The Jihad Candidate</title>
  <summary type="html" xml:space="preserve">
  -------- AHAHAHAHAHA... ahahahaha... AHAHAHA... ------- &lt;br&gt; Thanks for giving me the microphone to keep the thread &lt;br&gt; open so that I can point my finger at the causes of the issue: &lt;br&gt; therm...@india.com , a genuine ass-venter, [6] cranked &lt;br&gt; ... have you gone mad ? The ZIONIST MEDIA never barked &lt;br&gt; that it was a jew or a yank bastard when those fake anthrax
  </summary>
  </entry>
  <entry>
  <author>
  <name>MoeBlee</name>
  <email>jazzm...@hotmail.com</email>
  </author>
  <updated>2008-08-22T02:52:21Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/5353c8d343690955?show_docid=5353c8d343690955</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/5353c8d343690955?show_docid=5353c8d343690955"/>
  <title type="text">Re: Godel Incompleteness Theorem</title>
  <summary type="html" xml:space="preserve">
  The language of the formal system P in Godel&#39;s paper. &lt;br&gt; Godel correlates symbols and expressions of the formal system with &lt;br&gt; natural numbers (what we now call &amp;quot;Godel numbering&amp;quot;). At certain &lt;br&gt; points, he is as emphatic to say that the symbols and expressions ARE &lt;br&gt; natural numbers. At other times, he lets the matter rest on the notion
  </summary>
  </entry>
  <entry>
  <author>
  <name>|-|erc</name>
  <email>h...@r.c</email>
  </author>
  <updated>2008-08-22T02:37:56Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/6003f79bade6717c/60463f142637ab26?show_docid=60463f142637ab26</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/6003f79bade6717c/60463f142637ab26?show_docid=60463f142637ab26"/>
  <title type="text">Re: 3 valued halting function</title>
  <summary type="html" xml:space="preserve">
  &amp;quot;hagman&amp;quot; &amp;lt;goo...@von-eitzen.de&amp;gt; wrote ... &lt;br&gt; Its just a function like &lt;br&gt; function timestwo (x) &lt;br&gt; return 2 * x &lt;br&gt; There are unlimited (analagous) ways in which it can be written, but they all must give &lt;br&gt; the same result. &lt;br&gt; a clever compiler will reduce that into something simpler, that returns 0 &lt;br&gt; so it halts. It&#39;s not critical though, a &#39;self-reference&#39; response would be
  </summary>
  </entry>
  <entry>
  <author>
  <name>amzoti</name>
  <email>amz...@gmail.com</email>
  </author>
  <updated>2008-08-22T02:37:02Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/b8ddd5073411949b/2b76a4df9f3d21e8?show_docid=2b76a4df9f3d21e8</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/b8ddd5073411949b/2b76a4df9f3d21e8?show_docid=2b76a4df9f3d21e8"/>
  <title type="text">Re: Dear Newsgroup</title>
  <summary type="html" xml:space="preserve">
  Well, both postings are nuts - so what is the difference?
  </summary>
  </entry>
  <entry>
  <author>
  <name>|-|erc</name>
  <email>h...@r.c</email>
  </author>
  <updated>2008-08-22T02:30:51Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/6003f79bade6717c/e5bb57cbe6ae24d6?show_docid=e5bb57cbe6ae24d6</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/6003f79bade6717c/e5bb57cbe6ae24d6?show_docid=e5bb57cbe6ae24d6"/>
  <title type="text">Re: 3 valued halting function</title>
  <summary type="html" xml:space="preserve">
  &amp;quot;David Bernier&amp;quot; &amp;lt;david...@videotron.ca&amp;gt; wrote ... &lt;br&gt; I missed that part of the discussion as it was in sci.math only. &lt;br&gt; I&#39;m not sure what your division here is for (10^POW)/(10^1000000000000) &lt;br&gt; it seems you&#39;re trying to get main to emulate busy beaver in a manner &lt;br&gt; that is guaranteed to halt, so the values will be equal.
  </summary>
  </entry>
  <entry>
  <author>
  <email>tc...@lsa.umich.edu</email>
  </author>
  <updated>2008-08-22T02:20:53Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/66d5d7be4dd9f5e2?show_docid=66d5d7be4dd9f5e2</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/66d5d7be4dd9f5e2?show_docid=66d5d7be4dd9f5e2"/>
  <title type="text">Re: Godel Incompleteness Theorem</title>
  <summary type="html" xml:space="preserve">
  Sorry, a more precise URL is &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://coq.inria.fr/contribs/GodelRosser.html&quot;&gt;[link]&lt;/a&gt;
  </summary>
  </entry>
  <entry>
  <author>
  <email>tc...@lsa.umich.edu</email>
  </author>
  <updated>2008-08-22T02:19:14Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/5764f9421048c6d7?show_docid=5764f9421048c6d7</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/5764f9421048c6d7?show_docid=5764f9421048c6d7"/>
  <title type="text">Re: Godel Incompleteness Theorem</title>
  <summary type="html" xml:space="preserve">
  In article &amp;lt;dae3df42-15b0-48df-bcd5-86f0e 9219...@z72g2000hsb.googlegrou ps.com&amp;gt;, &lt;br&gt; You&#39;re right about the level of rational discussion. This is USENET, &lt;br&gt; after all! &lt;br&gt; But more to the point, when it became clear that you were pretending to be &lt;br&gt; a fan of your own book, and were not really interested in understanding
  </summary>
  </entry>
  <entry>
  <author>
  <name>MoeBlee</name>
  <email>jazzm...@hotmail.com</email>
  </author>
  <updated>2008-08-22T02:17:04Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/25a534fd4c730412?show_docid=25a534fd4c730412</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/30199639cb65776e/25a534fd4c730412?show_docid=25a534fd4c730412"/>
  <title type="text">Re: Godel Incompleteness Theorem</title>
  <summary type="html" xml:space="preserve">
  Of course it is true that we can&#39;t analyze natural language in EVERY &lt;br&gt; respect JUST as we do formal languages. But I did not say that we &lt;br&gt; can&#39;t analyze Godel&#39;s informal meta-language in his paper. &lt;br&gt; I said, [emphasis added] &amp;quot;I&#39;M NOT SAYING THAT WE CAN&#39;T ANALYZE &lt;br&gt; LANGUAGE. Rather, I&#39;m saying that your particular choice to regard &#39;a
  </summary>
  </entry>
  <entry>
  <author>
  <name>Pete Klimek</name>
  <email>pete_delete_kli...@sbcglobal_delete_.net</email>
  </author>
  <updated>2008-08-22T02:01:25Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/d66c38ee0a7097f3?show_docid=d66c38ee0a7097f3</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/d66c38ee0a7097f3?show_docid=d66c38ee0a7097f3"/>
  <title type="text">Re: Rudin and Dedekind cuts</title>
  <summary type="html" xml:space="preserve">
  I don&#39;t know how responsive they are, but the below link contains an option &lt;br&gt; (Editorial dept.) to suggest books for Dover to consider publishing: &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://store.doverpublications.com/customercarecenter.html&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; Pete K.
  </summary>
  </entry>
  <entry>
  <author>
  <email>tc...@lsa.umich.edu</email>
  </author>
  <updated>2008-08-22T01:54:57Z</updated>
  <id>http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/9b3850df7507b9ad?show_docid=9b3850df7507b9ad</id>
  <link href="http://groups.google.com.sg/group/sci.math/browse_thread/thread/cdd96edc9dda8914/9b3850df7507b9ad?show_docid=9b3850df7507b9ad"/>
  <title type="text">Outofprintmath (was: Re: Rudin and Dedekind cuts)</title>
  <summary type="html" xml:space="preserve">
  In article &amp;lt;0ggra45d7e4nsvgfue3tq2v5ka2as 32...@4ax.com&amp;gt;, &lt;br&gt; I can speak to this, since the site was originally my idea (though Klaus &lt;br&gt; Schmid did all the work implementing it). &lt;br&gt; Since the site is new, the most urgent task in my mind is to try to make &lt;br&gt; sure more people know about it. I advertised it on Terry Tao&#39;s blog, as
  </summary>
  </entry>
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