From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7043 Path: news.gmane.org!not-for-mail From: Jocelyn Ireson-Paine Newsgroups: gmane.science.mathematics.categories Subject: Re: The boringness of the dual of exponential Date: Thu, 10 Nov 2011 00:45:48 +0000 (GMT) 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 1320954749 26747 80.91.229.12 (10 Nov 2011 19:52:29 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Thu, 10 Nov 2011 19:52:29 +0000 (UTC) Cc: David Leduc , categories To: Andrej Bauer Original-X-From: majordomo@mlist.mta.ca Thu Nov 10 20:52:25 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 1ROaff-0003VT-6g for gsmc-categories@m.gmane.org; Thu, 10 Nov 2011 20:52:23 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:54999) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1ROabU-0006y4-1l; Thu, 10 Nov 2011 15:48:04 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1ROabS-0006ge-70 for categories-list@mlist.mta.ca; Thu, 10 Nov 2011 15:48:02 -0400 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7043 Archived-At: On Wed, 9 Nov 2011, Andrej Bauer wrote: >> Also, in logic, "and" goes in pair with "or", "for all" goes in pair >> with "there exists". But implication is always left alone. Why is it >> so? > > I am afraid logic is polyamorous: > ... > By the way: > > 1. "forall" goes with "weakening" because it is adjoint to it on the right. > 2. "exists" goes with "weakening" because it is adjoint to it on the left. > What's the definition of "weakening"? I've not seen this word used formally. > ... > Andrej > Thanks Jocelyn [For admin and other information see: http://www.mta.ca/~cat-dist/ ]