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	<title>Comments on: Descartes and Infinate Sets</title>
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	<link>http://blog.verselogic.net/archives/2005/descartes-and-infinate-sets/</link>
	<description>The personal blog of Alan J Castonguay.</description>
	<pubDate>Sat, 22 Nov 2008 15:04:40 +0000</pubDate>
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		<title>By: _quinn at livejournal.com</title>
		<link>http://blog.verselogic.net/archives/2005/descartes-and-infinate-sets/#comment-962</link>
		<dc:creator>_quinn at livejournal.com</dc:creator>
		<pubDate>Thu, 20 Oct 2005 05:30:44 +0000</pubDate>
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		<description>Also, it would be nifty to be able to quote Descartes whilst discussing such as this.  *Sigh.*</description>
		<content:encoded><![CDATA[<p>Also, it would be nifty to be able to quote Descartes whilst discussing such as this.  *Sigh.*</p>
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		<title>By: _quinn at livejournal.com</title>
		<link>http://blog.verselogic.net/archives/2005/descartes-and-infinate-sets/#comment-961</link>
		<dc:creator>_quinn at livejournal.com</dc:creator>
		<pubDate>Thu, 20 Oct 2005 05:30:01 +0000</pubDate>
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		<description>[Revenge-of: the Language-Oriented]It's "infinite" and "therein."[/Revenge-of]

Spelling, words, and sentences form an interesting case to consider in these terms.  What &lt;i&gt;is&lt;/i&gt; a word?  It is not any of its representations, however mis-spelled or mis-pronounced.  Is a word a pure Platonic concept, and its forms generated by an understanding of its "rule"?  Most characterize words as &lt;i&gt;symbols&lt;/i&gt;, but symbols don't have any particular "rule" relating concept to expression.  The mappings are arbitrary, although (mostly) codified as languages -- which leads us to sentences.  Is the (effective) infinitude of (sensible) sentences compelling evidence of a generator in the abstract rule sense you postulate above?

To &lt;i&gt;know&lt;/i&gt; "wax" is an interesting question, actually: do you know a "true" &lt;i&gt;abstraction&lt;/i&gt; of wax, or some set of "truly" disconnected things connected by the word?  It seems odd to answer this by appealing to reductionism:  a division of waxes into their constituent parts will reveal certain commonalities, and the sets of things you &lt;i&gt;know&lt;/i&gt; as wax are the entailed consequences of those commonalities, and (to some extent) the enviroment.  It seems odd, both as kind of philosophical reversal, and in the case of conceptual &lt;i&gt;knowing&lt;/i&gt;, like the (common-English) concept of a group.  Or is that those things which are reduced to find their abstraction are physical things, and those which are ... simplified? there's a sense of leaving detail behind, instead of exploring it -- are nonphysical things?</description>
		<content:encoded><![CDATA[<p>[Revenge-of: the Language-Oriented]It&#8217;s &#8220;infinite&#8221; and &#8220;therein.&#8221;[/Revenge-of]</p>
<p>Spelling, words, and sentences form an interesting case to consider in these terms.  What <i>is</i> a word?  It is not any of its representations, however mis-spelled or mis-pronounced.  Is a word a pure Platonic concept, and its forms generated by an understanding of its &#8220;rule&#8221;?  Most characterize words as <i>symbols</i>, but symbols don&#8217;t have any particular &#8220;rule&#8221; relating concept to expression.  The mappings are arbitrary, although (mostly) codified as languages &#8212; which leads us to sentences.  Is the (effective) infinitude of (sensible) sentences compelling evidence of a generator in the abstract rule sense you postulate above?</p>
<p>To <i>know</i> &#8220;wax&#8221; is an interesting question, actually: do you know a &#8220;true&#8221; <i>abstraction</i> of wax, or some set of &#8220;truly&#8221; disconnected things connected by the word?  It seems odd to answer this by appealing to reductionism:  a division of waxes into their constituent parts will reveal certain commonalities, and the sets of things you <i>know</i> as wax are the entailed consequences of those commonalities, and (to some extent) the enviroment.  It seems odd, both as kind of philosophical reversal, and in the case of conceptual <i>knowing</i>, like the (common-English) concept of a group.  Or is that those things which are reduced to find their abstraction are physical things, and those which are &#8230; simplified? there&#8217;s a sense of leaving detail behind, instead of exploring it &#8212; are nonphysical things?</p>
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