From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5360 Path: news.gmane.org!not-for-mail From: "Wojtowicz, Ralph" Newsgroups: gmane.science.mathematics.categories Subject: RE: A well kept secret Date: Sat, 12 Dec 2009 22:17:45 -0500 Message-ID: References: Reply-To: "Wojtowicz, Ralph" 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 1260746322 7505 80.91.229.12 (13 Dec 2009 23:18:42 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Sun, 13 Dec 2009 23:18:42 +0000 (UTC) To: Original-X-From: categories@mta.ca Mon Dec 14 00:18:35 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 1NJxhg-00027H-Qi for gsmc-categories@m.gmane.org; Mon, 14 Dec 2009 00:18:17 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1NJxDu-0004Wv-Gm for categories-list@mta.ca; Sun, 13 Dec 2009 18:47:30 -0400 Thread-Index: Acp7aZbZIVY/sPbkS+2IrzmqkTh/VAAMuqPe Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5360 Archived-At: Jim Stasheff wrote: > we need to build that bridge The paper linked below is an example of a "success story" that I have = recently described to sponsors who want to know what use category theory = has been to other parts of mathematics. In my opinion, the fact that = category theory provided not only new insights into semantics of full = first-order S4 modal logic but also semantics of higher-order S4 helps = build the bridge mentioned above. http://www.andrew.cmu.edu/user/awodey/preprints/FoS4.phil.pdf One sponsor had his own example (see the link below which he brought to = my attention) which has generated a lot of interest among my colleagues = at work since "network analysis" is one of our primary business areas. http://comptop.stanford.edu/preprints/clust-functorial.pdf I am still working through the following but think it also contributes = to the bridge. http://www.andrew.cmu.edu/user/awodey/preprints/homotopy.pdf Ralph Wojtowicz Metron, Inc. 1818 Library Street, Suite 600 Reston, VA 20190 www.metsci.com [For admin and other information see: http://www.mta.ca/~cat-dist/ ]