Information = Comprehension × Exte nsion : 1

Jon Awbrey <[email protected]> Fri, 10 May 2013 14:30:50 -0400
Newsgroups gmane.comp.inquiry
Message-ID <[email protected]>
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

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