From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/24 Path: news.gmane.org!not-for-mail From: spitters Newsgroups: gmane.science.mathematics.categories Subject: Re: "Kantor dust" Date: Sat, 31 Jan 2009 11:25:32 +0100 Message-ID: Reply-To: spitters NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15" Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1233411319 22079 80.91.229.12 (31 Jan 2009 14:15:19 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Sat, 31 Jan 2009 14:15:19 +0000 (UTC) To: "Galchin, Vasili" Original-X-From: categories@mta.ca Sat Jan 31 15:16:33 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1LTGe8-0006Fi-QR for gsmc-categories@m.gmane.org; Sat, 31 Jan 2009 15:16:32 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1LTG8A-0006PD-4Q for categories-list@mta.ca; Sat, 31 Jan 2009 09:43:30 -0400 Content-Disposition: inline Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:24 Archived-At: It seems that what you are describing is usually called finitism. Bas On Saturday 31 January 2009 05:35:41 Galchin, Vasili wrote: > i.e. a well-defined algorithm exists to construct Cantor dust but the > Cantor dust cannot be constructed/built from the algorithm in a finite > number of steps. Hence, Cantor dust represents potential infinity rather > than actual infinity. This problem has nagged at me for a while. > > Regards, Vasili >