Peirce's 1870 “Logic Of Relatives ” • Comment 10.2

Post   : Peirce's 1870 “Logic Of Relatives” • Comment 10.2
http://inquiryintoinquiry.com/2014/03/14/peirces-1870-logic-of-relatives-%e2%80%a2-comment-10-2/
Posted : March 14, 2014 at 4:00 pm
Author : Jon Awbrey

Peircers,

My comment-for-the-day on Peirce's 1870 Logic of Relatives touches on the information-theoretic 
interpretation of inference that I recently mentioned under the rubrics of “constraint composition” 
and “information integration”.  Here's a couple of paragraphs from the blog post, but please follow 
the link above for the charts and graphs:

<...>

To say that a relative term “imparts a relation” is to say that it conveys information about the 
space of tuples in a cartesian product, that is, it determines a particular subset of that space. 
When we study the combinations of relative terms, from the most elementary forms of composition to 
the most complex patterns of correlation, we are considering the ways that these constraints, 
determinations, and informations, as imparted by relative terms, can be compounded in the formation 
of syntax.

<...>

One way to approach the problem of “information fusion” in Peirce’s syntax is to soften the 
distinction between adjacent terms and subjacent signs and treat the types of constraints they 
separately signify more on a par with each other.  To that purpose, let us consider a way of 
thinking about relational composition that emphasizes the set-theoretic constraints involved in the 
construction of a composite.

<...>

Regards,

Jon

-- 

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