Cf: Precursors Of Category Theory • Discussion 3
http://inquiryintoinquiry.com/2020/09/25/precursors-of-category-theory-discussion-3/
| Take your place on The Great Mandala
| As it moves through your brief moment of time.
| Win or lose now you must choose now
| And if you lose you're only losing your life.
|
| Peter Yarrow (
https://www.peterpaulandmary.com/music/08-06.htm )
https://groups.google.com/d/msg/ontolog-forum/lXix9bMjeSU/n3R_U5IcAAAJ
AS: I like Kant's criticism of Aristotle versions of categories.
<QUOTE>
“Finding these basic concepts — such a proposal was worthy of such an
astute thinker like Aristotle. But since he did not have any principle,
he picked them up as they came across to him, and first typed ten concepts,
which he called categories (predicates). Then it seemed to him that he found
five more such concepts, which he added to the previous ones under the name of
post-predicate. However, his table was still insufficient.”
(Kant, Critique of Pure Reason, §10. About Pure Rational Concepts, or Categories).
</QUOTE>
Dear Alex,
My sketch on Precursors Of Category Theory shows a big ellipsis
under the heading for Kant. I meant to get back to him, as I used
to do every half-decade or so, but it's been a long time since I kept
to that schedule. Kant is a lodestar in the Peircean constellation —
Peirce's “New List of Categories” invokes his guidance on the function
of concepts just as he tries his own hand at the wheel. I quoted that
passage in my selections from Peirce:
https://inquiryintoinquiry.com/2014/01/03/precursors-of-category-theory-3/
Selection 1
===========
<QUOTE>
§1. This paper is based upon the theory already established, that the
function of conceptions is to reduce the manifold of sensuous impressions
to unity, and that the validity of a conception consists in the impossibility
of reducing the content of consciousness to unity without the introduction of it.
(CP 1.545).
§2. This theory gives rise to a conception of gradation among those conceptions
which are universal. For one such conception may unite the manifold of sense and
yet another may be required to unite the conception and the manifold to which it is
applied; and so on. (CP 1.546).
C.S. Peirce, “On a New List of Categories” (1867)
</QUOTE>
To be continued …
Regards,
Jon