From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2334 Path: news.gmane.org!not-for-mail From: Thomas Streicher Newsgroups: gmane.science.mathematics.categories Subject: Re: topos logic arising nicely Date: Thu, 5 Jun 2003 21:46:23 +0200 (CEST) Message-ID: <200306051946.VAA19086@fb04305.mathematik.tu-darmstadt.de> 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 1241018587 3649 80.91.229.2 (29 Apr 2009 15:23:07 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:23:07 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Thu Jun 5 18:40:41 2003 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Thu, 05 Jun 2003 18:40:41 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 19O2RD-0004vW-00 for categories-list@mta.ca; Thu, 05 Jun 2003 18:38:23 -0300 X-Mailer: ELM [version 2.4ME+ PL66 (25)] Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 25 Original-Lines: 14 Xref: news.gmane.org gmane.science.mathematics.categories:2334 Archived-At: Hi Paul, > "The neglect of sum types is the root of all evil." To some extent this may be true for programming languages (but see recent work of Jim Laird). For logics it is less clear. Actually you mean the empty type, isn't it? Moreover, sunset types are slightly heavier than ordinary sum types. Subset types are rather dependent sum types. Thomas