From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2118 Path: news.gmane.org!not-for-mail From: Ross Street Newsgroups: gmane.science.mathematics.categories Subject: Re: Cauchy completeness of Cauchy reals Date: Fri, 24 Jan 2003 12:34:55 +1100 Message-ID: References: <15918.28389.594290.761117@acws-0054.cs.bham.ac.uk> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" ; format="flowed" X-Trace: ger.gmane.org 1241018423 2569 80.91.229.2 (29 Apr 2009 15:20:23 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:20:23 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Fri Jan 24 13:46:04 2003 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Fri, 24 Jan 2003 13:46:04 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 18c7qA-0003qH-00 for categories-list@mta.ca; Fri, 24 Jan 2003 13:42:06 -0400 X-Sender: street@hera.ics.mq.edu.au In-Reply-To: <15918.28389.594290.761117@acws-0054.cs.bham.ac.uk> Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 43 Original-Lines: 25 Xref: news.gmane.org gmane.science.mathematics.categories:2118 Archived-At: With all this talk about real numbers, perhaps readers would be interested in my little paper (reporting an idea of Steve Schanuel): An efficient construction of the real numbers, Gazette Australian Math. Soc. 12 (1985) 57-58. which may be hard to find. However, a recent report of an undergraduate vacation project can be obtained at http://www.maths.mq.edu.au/~street/efficient.pdf This project convinced me that this construction is a good one for teaching undergraduates. Others have had this idea too. In particular, the following was recently posted on the math arXiv: Norbert A'Campo, A natural construction of the real numbers, arXiv:math.GN/0301015 v1 3 Jan 2003. With regards, Ross