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

Re:http://inquiryintoinquiry.com/2014/03/04/peirces-1870-logic-of-relatives-%E2%80%A2-comment-9-5/

Peirce List,

I'll be using the logical matrix and bigraph pictures of dyadic relations quite a bit in the sequel, 
so I've added more explanation of the bigraph picture to the blog post linked above.  I plan to add 
more formal definitions and exposition to the Graph Theory thread when I get a chance but hopefully 
this much will serve to negotiate the next few comments on Peirce's 1870 Logic of Relatives.

Regards,

Jon

Jon Awbrey wrote:
 >
 > List,
 >
 > Selection 8 (CP 3.73) and Selection 9 (CP 3.74)
 > introduce Peirce's “comma operation”, which converts
 > an absolute term into a simple relative term and more
 > generally ups the “adicity” (arity, valence) of any term
 > by 1.  Peirce uses the comma operation to define logical
 > conjunction and also to show that the form of conjunction
 > defined in this way is commutative, as one would naturally
 > expect.
 >
 > Comment 9.5 on Selection 9 demonstrates two different ways
 > of viewing the action of Peirce's comma operation on absolute
 > terms, first via logical matrices and then using “bigraphs”
 > (bipartite graphs) to represent the resulting dyadic relations.
 >
 > Here are the pertinent links:
 >
 >☞http://inquiryintoinquiry.com/2014/02/17/peirces-1870-logic-of-relatives-%E2%80%A2-selection-8/
 >
 >☞http://inquiryintoinquiry.com/2014/02/23/peirces-1870-logic-of-relatives-%E2%80%A2-selection-9/
 >
 >☞http://inquiryintoinquiry.com/2014/03/04/peirces-1870-logic-of-relatives-%e2%80%a2-comment-9-5/
 >
 >
 > I'll see if I can send an HTML copy by separate post.
 >
 > Regards,
 >
 > Jon
 >

-- 

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