From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4458 Path: news.gmane.org!not-for-mail From: PETER EASTHOPE Newsgroups: gmane.science.mathematics.categories Subject: Two Category Date: Tue, 29 Jul 2008 21:19:54 -0700 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019958 13375 80.91.229.2 (29 Apr 2009 15:45:58 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:45:58 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Tue Aug 5 22:02:53 2008 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Tue, 05 Aug 2008 22:02:53 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1KQXQI-0001BW-Qo for categories-list@mta.ca; Tue, 05 Aug 2008 22:02:42 -0300 Content-language: en Content-disposition: inline Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 25 Original-Lines: 32 Xref: news.gmane.org gmane.science.mathematics.categories:4458 Archived-At: Folk, Subsequent to my first attempt at illustrating the Two Category, Fred Linton added, "Is it worth noting, in this jpeg, that the arithmetical max(1-A, B) for B^A coincides here with the Boolean {not}A or B for the classical B => A?" Another insight for me. Thanks. I've made a fresh sketch including a table of notations. http://carnot.yi.org/TwoCategory.jpg Apologies for the very poor graphical quality. I am working on an SVG version. Further criticisms and suggestions are welcome of course. Thanks, ... Peter E. -- http://members.shaw.ca/peasthope/ http://carnot.yi.org/ = http://carnot.pathology.ubc.ca/