Peirce List: JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/17890 GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/17894 JBD:http://permalink.gmane.org/gmane.science.philosophy.peirce/17902 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/17907 HR:http://permalink.gmane.org/gmane.science.philosophy.peirce/17911 GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/17916 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/17955 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/17956 HR:http://permalink.gmane.org/gmane.science.philosophy.peirce/17958
Helmut, List, I put a better formatted version of my last email in this blog post: http://inquiryintoinquiry.com/2015/12/08/relations-their-relatives-16 I thought it might serve a purpose over the long haul to merge this discussion of elementary relations and/or individual relations with an earlier thread on relations and their relatives. The immediate task is to get clear about the critical relationship between relations as sets and elementary relations as elements of those sets. What's at stake is understanding the extensional aspect of relations. Beyond its theoretical importance, the extensional aspect of relations is the interface where relations make contact with empirical phenomena and ground logical theories in observational data. Well, it's later than I thought, so I'll have to break here. Regards, Jon On 12/8/2015 11:42 AM, Helmut Raulien wrote:
Jon, list, thank you, Jon. Your example is less complicated than mine was. So the elementary relation does not determine the general relation or general relative term. So, both, elementary and general relation do not have a token-type- connection with each other, I think. So it is confusing to me, that both are called "relation". In mathematics, I think, an actual subset of a cartesian product is a relation. This seems like secondness to me. The term "smaller than" is a relative term, I guess. This seems like firstness or thirdness to me, depending on whether it is the reason for (ground of, quality of) an actual subset, or the interpretation of this actual subset. Best, Helmut
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