Cf: Semiotics, Semiosis, Sign Relations • 9
At:
http://inquiryintoinquiry.com/2020/04/12/semiotics-semiosis-sign-relations-%e2%80%a2-9/
All,
Just a note to record this citation by Jon Alan Schmidt of an important theme
in Peirce.
It touches on one of those recurring questions which has come up time and again
on the
Peirce List over the last 20 years, more acutely in recent Facebook discussions
about
"universes of discourse", and more obliquely in the Ontolog Forum in connection
with
the AI-CogSci-DataBase issue of "open vs. closed worlds". In another life I
might
have mentioned the Central Limit Theorem at this point as that would have
brought
us nearer Peirce's core insight into the matter, but maybe another time ...
Jon Alan Schmidt wrote:
<QUOTE>
Every proposition is collective and copulative; as I stated in a recent post (
https://list.iupui.edu/sympa/arc/peirce-l/2020-03/msg00028.html ) , its dynamical object is “the entire universe” (CP
5.448n, EP 2:394, 1906), which is “the totality of all real objects” (CP 5.152, EP 2:209, 1903), while its immediate
object is “the logical universe of discourse” (CP 2.323, EP 2:283, 1903).
</QUOTE>
Thanks are due to JAS for calling attention to a critical point. I'm occupied with another train of thought at the
moment so I'll just stop to flag it for a later discussion. Incidentally, or synchronistically, lack of care in
distinguishing different objects of the same signs, in particular, immediate and ultimate objects and their
corresponding universes or object domains, has been the source of many misunderstandings in scattered discussions on
Facebook of late.
Another issue arising here has to do with the difference between the “dimensionality of a relation” and the “number of
correlates”. Signs may have any number of correlates in the object domain without requiring the dimensionality of the
relevant sign relation to be greater than three. This is one of the consequences of “triadic relation irreducibility”.
Resources
=========
Logic Syllabus
( https://inquiryintoinquiry.com/logic-syllabus/ )
Semeiotic
( https://oeis.org/wiki/Semeiotic )
Universe of Discourse
( https://oeis.org/wiki/Universe_of_discourse )
Peirce’s 1870 Logic Of Relatives
( https://oeis.org/wiki/Peirce%27s_1870_Logic_Of_Relatives )
Sign Relation
( https://oeis.org/wiki/Sign_relation )
Triadic Relation
( https://oeis.org/wiki/Triadic_relation )
Relation Theory
( https://oeis.org/wiki/Relation_theory )
Relation Reduction
( https://oeis.org/wiki/Relation_reduction )
Regards,
Jon
inquiry into inquiry: https://inquiryintoinquiry.com/
academia: https://independent.academia.edu/JonAwbrey
oeiswiki: https://www.oeis.org/wiki/User:Jon_Awbrey
facebook page: https://www.facebook.com/JonnyCache
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