From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5128 Path: news.gmane.org!not-for-mail From: Andre.Rodin@ens.fr Newsgroups: gmane.science.mathematics.categories Subject: Re: categories and linguistic Date: Wed, 9 Sep 2009 19:55:00 +0200 Message-ID: Reply-To: Andre.Rodin@ens.fr 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 1252685384 14727 80.91.229.12 (11 Sep 2009 16:09:44 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 11 Sep 2009 16:09:44 +0000 (UTC) To: Pierre Cardascia , categories@mta.ca Original-X-From: categories@mta.ca Fri Sep 11 18:09:35 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from [138.73.1.1] (helo=mailserv.mta.ca) by lo.gmane.org with esmtp (Exim 4.50) id 1Mm8gp-0006rt-Jt for gsmc-categories@m.gmane.org; Fri, 11 Sep 2009 18:09:35 +0200 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1Mm85Q-0005Xd-Lr for categories-list@mta.ca; Fri, 11 Sep 2009 12:30:56 -0300 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5128 Archived-At: Dear Pierre, I heard from Christian Houzel that he worked on this subject long ago but= never published. He gave recently in ENS a talk on this subject, I copy his ab= stract below. best, Andrei Les productions des langues naturelles se pr=E9sentent comme des concat=E9= nations d'=E9l=E9ments. On peut traduire math=E9matiquement la concat=E9nation pa= r la loi de composition d'un mono=EFde. Mais toute suite de mots ne constitue pas une phrase ; il faut une structure syntaxique. De telles structures const= ituent les morphismes d'une cat=E9gorie mono=EFdale. Les th=E9ories interpr=E9ta= tives, comme la phonologie ou la s=E9mantique introduisent des filtres additionnels, q= u'il para=EEt convenable de prendre en compte au moyen d'une topologie convena= ble. Une th=E9orie interpr=E9tative est alors repr=E9sent=E9e par un faisceau sur = un site convenable. Selon Pierre Cardascia : > Hello, dear categorists, > My name is Pierre Cardascia, I'm student of mathematics and philosophie= in > Lille, France. last year, I wrote for my research director Shahid Rahma= n a > paper about categorical logic; and for this year, he wants me to focus = on > linguistic (for some obscure but=A0good=A0reasons). So we decided to re= introduce > my former work and to explore more and more the land of cat=E9gories. > The main problem is that I haven't any clue of where I must begin such = a > work. I asked the neighour laboratory of linguistic : nothing. So I wri= te you > with the hope that somebody can give me some hints to guide=A0my resear= ch : > references, actual problems, advises ... it seemed, but I'm not sure, t= hat > the Montreal school worked on that subject in the past, but this inform= ation > is unconfirmed ... > > Thanks you ! > > Pierre CARDSCIA [For admin and other information see: http://www.mta.ca/~cat-dist/ ]