From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2340 Path: news.gmane.org!not-for-mail From: Galchin Vasili Newsgroups: gmane.science.mathematics.categories Subject: Topoi, Heyting algebra and Lawvere's CAT book Date: Thu, 05 Jun 2003 18:03:45 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; CHARSET=US-ASCII X-Trace: ger.gmane.org 1241018590 3668 80.91.229.2 (29 Apr 2009 15:23:10 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:23:10 +0000 (UTC) To: categories Original-X-From: rrosebru@mta.ca Fri Jun 6 17:22:43 2003 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Fri, 06 Jun 2003 17:22:43 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 19ONhJ-0004bR-00 for categories-list@mta.ca; Fri, 06 Jun 2003 17:20:25 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 31 Original-Lines: 30 Xref: news.gmane.org gmane.science.mathematics.categories:2340 Archived-At: Hello, This is a followup question to my other question about topoi and intuistionistic logic. On page 350, Lawvere is talking about logical operations (in a Heyting algebra I think??). In particular I having trouble understanding the narrative on the implication operation "=>" in the sense 1) I don't understand what . (e.g. is alpha meant to be an element: alpha:1->omega?) 2) also what alpha "subset" beta is! Please help me. Thanks and regards, Bill Halchin