From sentto-44114-2948-960216637-mark=kli.org@returns.onelist.com Mon Jun 05 14:48:39 2000 Return-Path: Delivered-To: shoulson-kli@meson.org Received: (qmail 5499 invoked from network); 5 Jun 2000 14:48:38 -0000 Received: from zash.lupine.org (205.186.156.18) by pi.meson.org with SMTP; 5 Jun 2000 14:48:38 -0000 Received: (qmail 26217 invoked by uid 40001); 5 Jun 2000 14:50:44 -0000 Delivered-To: kli-mark@kli.org Received: (qmail 26214 invoked from network); 5 Jun 2000 14:50:44 -0000 Received: from ci.egroups.com (207.138.41.176) by zash.lupine.org with SMTP; 5 Jun 2000 14:50:44 -0000 X-eGroups-Return: sentto-44114-2948-960216637-mark=kli.org@returns.onelist.com Received: from [10.1.10.37] by ci.egroups.com with NNFMP; 05 Jun 2000 14:50:42 -0000 Received: (qmail 18575 invoked from network); 5 Jun 2000 14:49:01 -0000 Received: from unknown (10.1.10.27) by m3.onelist.org with QMQP; 5 Jun 2000 14:49:01 -0000 Received: from unknown (HELO imo13.mx.aol.com) (152.163.225.3) by mta2 with SMTP; 5 Jun 2000 14:49:00 -0000 Received: from Pycyn@aol.com by imo13.mx.aol.com (mail_out_v27.9.) id a.e8.545a3f8 (4586) for ; Mon, 5 Jun 2000 10:48:49 -0400 (EDT) Message-ID: To: lojban@egroups.com X-Mailer: AOL 3.0 16-bit for Windows sub 41 From: pycyn@aol.com MIME-Version: 1.0 Mailing-List: list lojban@egroups.com; contact lojban-owner@egroups.com Delivered-To: mailing list lojban@egroups.com Precedence: bulk List-Unsubscribe: Date: Mon, 5 Jun 2000 10:48:49 EDT Subject: Re: [lojban] Transfinite ordinals Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit In a message dated 00-06-05 03:18:11 EDT, lojbab writes: << We have always assumed that an ordinal could be expressed by adding the ordinal suffix moi to a number (cardinal or otherwise - Lojban does not worry about the semantics). >> As pier points out, in the transfinites the correlation breaks down: there are infinitely many ordinals that correspond in a natual way to aleph null -- omega, omega+1, ... . And just in the cardinals, the aleph series may not be enough -- barring the axiom of choice, the cardinality of the continuum is not an aleph -- or at least not any specific one, aleph one, say. I suggest that the solution is just to take on the symbolism already in place, alephs and omegas and what not, for which lojban is already equipt. ------------------------------------------------------------------------ Old school buds here: http://click.egroups.com/1/4057/3/_/17627/_/960216624/ ------------------------------------------------------------------------ To unsubscribe, send mail to lojban-unsubscribe@onelist.com