Peirce's 1870 “Logic Of Relatives ” • Comment 8.5

Post   : Peirce's 1870 “Logic Of Relatives” • Comment 8.5
http://inquiryintoinquiry.com/2014/02/20/peirces-1870-logic-of-relatives-%e2%80%a2-comment-8-5/
Posted : February 20, 2014 at 8:00 pm
Author : Jon Awbrey

Since multiplication by a dyadic relative term is a logical analogue of matrix multiplication
in linear algebra, all of the products that we computed above can be represented in terms of
logical matrices, that is, arrays of boolean (0, 1) coordinate values.  Absolute terms and
dyadic relatives are represented as 1-dimensional and 2-dimensional arrays, respectively.

The equations defining the absolute terms are given again below,
first as logical sums of individual terms and then as n-tuples
of boolean coordinates.

| NB. Please see the blog post for the rest of this content,
|     as it contains too much math formatting to render here.

☞http://inquiryintoinquiry.com/2014/02/20/peirces-1870-logic-of-relatives-%e2%80%a2-comment-8-5/

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