Peirce's 1870 “Logic Of Relatives ” • Comment 9.7

Post   : Peirce's 1870 “Logic Of Relatives” • Comment 9.7
http://inquiryintoinquiry.com/2014/03/08/peirces-1870-logic-of-relatives-%e2%80%a2-comment-9-7/
Posted : March 8, 2014 at 10:00 pm

Peircers,

 From this point forward we may think of idempotents, selectives, and zero-one diagonal matrices as 
being roughly equivalent notions.  The only reason I say ''roughly'' is that we are comparing ideas 
at different levels of abstraction in proposing these connections.

We have covered the way that Peirce uses his invention of the comma modifier to assimilate boolean 
multiplication, logical conjunction, or what we may think of as ''serial selection'' under his more 
general account of relative multiplication.

But the comma functor has its application to relative terms of any arity, not just the zeroth arity 
of absolute terms, and so there will be a lot more to explore on this point.  But now I must return 
to the anchorage of Peirce's text and await a chance to revisit the topic later.

Regards,

Jon

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