Re: Peirce’s 1870 “Logic Of Relat ives” • Proto-Graphical Syntax

Thread:
JA:http://inquiryintoinquiry.com/2014/02/12/peirces-1870-logic-of-relatives-%E2%80%A2-proto-graphical-syntax/
HR:http://web.archive.org/web/20140213040631/http://permalink.gmane.org/gmane.science.philosophy.peirce/11753
JA:http://web.archive.org/web/20140213202033/http://permalink.gmane.org/gmane.science.philosophy.peirce/11763
JA:http://web.archive.org/web/20140214044637/http://permalink.gmane.org/gmane.science.philosophy.peirce/11765
JBD:http://web.archive.org/web/20140214044455/http://permalink.gmane.org/gmane.science.philosophy.peirce/11764

Jeff, List,

Yes, it will be useful to look at the way Peirce classified relations and even enumerated them in 
the discrete cases.  After that it would be useful to examine different mathematical systems that 
are based on relations of various types, structures like groups, rings, fields, vector spaces, etc. 
  Mathematics is positively rife with triadic relations — every so-called “binary operation” is in 
fact a triadic relation — and semioticians could learn a lot about keeping Cerberus well-sopped and 
at bay by studying the way mathematicians handle the complexity of those triadic relations that give 
them their own daily bread.

But approaching this topic with any coherence will depends on settling some of the questions that 
arose in the discussion with Helmut, as to what they are, exactly, we are seeking to classify when 
we turn to classifying relations.

Jon

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