From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6969 Path: news.gmane.org!not-for-mail From: Jocelyn Ireson-Paine Newsgroups: gmane.science.mathematics.categories Subject: Re: Natural Functorial Categorical Intuition Date: Mon, 17 Oct 2011 12:46:40 +0100 (BST) Message-ID: References: Reply-To: Jocelyn Ireson-Paine NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII; format=flowed X-Trace: dough.gmane.org 1318853170 16891 80.91.229.12 (17 Oct 2011 12:06:10 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 17 Oct 2011 12:06:10 +0000 (UTC) Cc: "Ellis D. Cooper" , categories@mta.ca To: posina Original-X-From: majordomo@mlist.mta.ca Mon Oct 17 14:06:06 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.4]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1RFlxF-0000aX-HQ for gsmc-categories@m.gmane.org; Mon, 17 Oct 2011 14:06:05 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:57635) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1RFlvc-0000d4-SZ; Mon, 17 Oct 2011 09:04:24 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1RFlvb-0005xX-EY for categories-list@mlist.mta.ca; Mon, 17 Oct 2011 09:04:23 -0300 User-Agent: Alpine 1.10 (LRH 962 2008-03-14) Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6969 Archived-At: On Wed, 28 Sep 2011, posina wrote: > Dear All, > > My understanding, having studied in some detail the behavioural, > psychological, and cognitive scientific studies, is that a serious study of > mathematics (beginning with Lawvere & Schanuel's Conceptual Mathematics) > can inform cognitive sciences more so than the other way around, with all > due respect to Dan Kahneman and those 'where mathematics comes from' guys. > Do tell us more. Mathematics has informed cognitive science on, for example, the structure of natural-language grammars, how neurons compute, and how the brain uses the geometric constraints on 3D shapes when understanding images. But you mention Lawvere & Schanuel's "Conceptual Mathematics". What can category theory contribute? I suggested some possibilities in http://www.j-paine.org/why_be_interested_in_categories.html , "What Might Categories do for AI and Cognitive Science?". There must be lots more. > Thank you, > posina > Jocelyn [For admin and other information see: http://www.mta.ca/~cat-dist/ ]