From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7302 Path: news.gmane.org!not-for-mail From: "Ellis D. Cooper" Newsgroups: gmane.science.mathematics.categories Subject: The Idea of Structure as Data and Conditions Date: Fri, 25 May 2012 18:09:10 -0400 Message-ID: Reply-To: "Ellis D. Cooper" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii"; format=flowed X-Trace: dough.gmane.org 1338066341 12137 80.91.229.3 (26 May 2012 21:05:41 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Sat, 26 May 2012 21:05:41 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Sat May 26 23:05:38 2012 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.80]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1SYOB3-00013T-59 for gsmc-categories@m.gmane.org; Sat, 26 May 2012 23:05:33 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:44650) by smtpx.mta.ca with esmtp (Exim 4.77) (envelope-from ) id 1SYO9s-0002gh-IR; Sat, 26 May 2012 18:04:20 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1SYO9t-0006xQ-MZ for categories-list@mlist.mta.ca; Sat, 26 May 2012 18:04:21 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7302 Archived-At: In the 1952 document at http://mathdoc.emath.fr/archives-bourbaki/PDF/nbt_029.pdf the only mathematician "pr\'{e}sent" referenced by first name only is Sammy. I was permitted to audit a graduate course on category theory guided by Sammy at Columbia University in the early 1960s. I recall his insistence that mathematical structure is given by data and conditions. Is that idea implicit or explicit in Bourbaki? Has that idea been superceded? How does it relate to the development of algebraic theories as understood by Lawvere, Linton, Barr-Wells, the Elephant, and so on? Ellis D. Cooper [For admin and other information see: http://www.mta.ca/~cat-dist/ ]