From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5268 Path: news.gmane.org!not-for-mail From: Colin McLarty Newsgroups: gmane.science.mathematics.categories Subject: Re: categorical foundations Date: Fri, 13 Nov 2009 08:24:17 -0500 Message-ID: References: Reply-To: Colin McLarty NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1258142051 6993 80.91.229.12 (13 Nov 2009 19:54:11 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 13 Nov 2009 19:54:11 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Fri Nov 13 20:54:05 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1N92DV-0006A5-BG for gsmc-categories@m.gmane.org; Fri, 13 Nov 2009 20:53:57 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1N91j9-0004j5-9K for categories-list@mta.ca; Fri, 13 Nov 2009 15:22:35 -0400 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5268 Archived-At: Sorry. I did misunderstand that. But I still do not understand it. What is a "formal basis" of a theory T? Is any subtheory of T? Or is it any conceptually significant subtheory? (In the latter case I would not call it a "formal" basis.) Is it supposed to be a general rule that if a theory T has a "formal basis" then T cannot be a satisfactory foundation? The Eilenberg-MacLane axioms are a subtheory of CCAF and also have a natural, conceptually central interpretation in CCAF. I consider this an insight, Bill's insight, and I do not see how it becomes any kind of objection to CCAF. best, Colin 2009/11/13 : > Selon Colin McLarty : > >> 2009/11/12 =A0: >> >> writes >> >> > =A0ETCS is the formal basis of CCAF. >> > > > I did NOT write this. I wrote "ETC is the formal basis of CCAF", please c= heck my > message. By ETC I mean the Elementary Theory of Categories. (You might ta= ke my > ETC for a typo perhaps.) > > best > Andrei > [For admin and other information see: http://www.mta.ca/~cat-dist/ ]