Re: Peirce's 1870 “Logic Of Relatives ” • Comment 9.5

Post   : Peirce's 1870 “Logic Of Relatives” • Comment 9.5
http://inquiryintoinquiry.com/2014/03/04/peirces-1870-logic-of-relatives-%E2%80%A2-comment-9-5/
Posted : March 4, 2014 at 4:00 pm
Author : Jon Awbrey

Peircers,

Peirce's comma operation, in its application to an absolute term, is tantamount to the 
representation of that term’s denotation as an idempotent transformation, which is commonly 
represented as a diagonal matrix.  Hence the alternate name, ''diagonal extension''.

An idempotent element x is given by the abstract condition that xx = x, but elements like these are 
commonly encountered in more concrete circumstances, acting as operators or transformations on other 
sets or spaces, and in that action they will often be represented as matrices of coefficients.

☞ Follow the above link for the rest of this content, as it requires too much math formatting to 
render properly here.

Regards,

Jon

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