Information = Comprehension × Exte nsion : 1
Jon Awbrey <[email protected]> Fri, 10 May 2013 14:30:50 -0400
| Newsgroups | gmane.comp.inquiry |
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Post : Information = Comprehension × Extension : 1 URL : http://inquiryintoinquiry.com/2013/05/08/information-comprehension-x-extension-1/ Posted : May 8, 2013 at 12:48 pm Author : Jon Awbrey Re: A Most Perplexing Mystery At: http://rjlipton.wordpress.com/2013/05/06/a-most-perplexing-mystery/ The inverse relationship between symmetry and diversity — that we see for example in the lattice-inverting map of a Galois correspondence — is a variation on an old theme in logic called the “inverse proportionality of comprehension and extension”. C.S. Peirce, in his probings of the “laws of information”, found this principle to be a special case of a more general formula, saying that the reciprocal relation holds only when the quantity of information is constant. Readings * C.S. Peirce • Upon Logical Comprehension and Extension http://www.iupui.edu/~peirce/writings/v2/w2/w2_06/v2_06.htm * My Notes • Information = Comprehension × Extension http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Information_%3D_Comprehension_%C3%97_Extension -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache