From sentto-44114-2943-960167929-mark=kli.org@returns.onelist.com Mon Jun 05 01:16:50 2000 Return-Path: Delivered-To: shoulson-kli@meson.org Received: (qmail 4655 invoked from network); 5 Jun 2000 01:16:49 -0000 Received: from zash.lupine.org (205.186.156.18) by pi.meson.org with SMTP; 5 Jun 2000 01:16:49 -0000 Received: (qmail 5534 invoked by uid 40001); 5 Jun 2000 01:18:52 -0000 Delivered-To: kli-mark@kli.org Received: (qmail 5531 invoked from network); 5 Jun 2000 01:18:52 -0000 Received: from ck.egroups.com (208.50.144.69) by zash.lupine.org with SMTP; 5 Jun 2000 01:18:52 -0000 X-eGroups-Return: sentto-44114-2943-960167929-mark=kli.org@returns.onelist.com Received: from [10.1.10.37] by ck.egroups.com with NNFMP; 05 Jun 2000 01:18:50 -0000 Received: (qmail 16244 invoked from network); 5 Jun 2000 01:18:28 -0000 Received: from unknown (10.1.10.26) by m3.onelist.org with QMQP; 5 Jun 2000 01:18:28 -0000 Received: from unknown (HELO mail.oltronics.net) (204.213.85.8) by mta1 with SMTP; 5 Jun 2000 01:18:26 -0000 Received: from neofelis (i019-1.clt-nc.oltronics.net [207.15.133.19]) by mail.oltronics.net (8.9.3/8.9.3) with SMTP id VAA01607 for ; Sun, 4 Jun 2000 21:18:23 -0400 To: lojban@egroups.com X-Mailer: KMail [version 1.0.28] Message-Id: <00060421183101.20570@neofelis> From: Pierre Abbat 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: Sun, 4 Jun 2000 21:13:18 -0400 Subject: [lojban] Transfinite ordinals Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit I notice that Lojban has a word for transfinite cardinals, but not for transfinite ordinals. Transfinite cardinals (denoted by Hebrew letters with subscripts) tell the number of elements in a set; transfinite ordinals (denoted by Greek letters) tell how it is ordered. For instance, the set of all positive integers has cardinality aleph-null and ordinality omega. The set of all positive integers and aleph-null still has cardinality aleph-null, but its ordinality is omega+1. The set of all ordered pairs of positive integers has ordinality omega*omega, but its cardinality is still aleph-null. Anyone want to add a word for these? phma ------------------------------------------------------------------------ Would you like to save big on your phone bill -- and keep on saving more each month? Join beMANY! Our huge buying group gives you Long Distance rates which fall monthly, plus an extra $60 in FREE calls! http://click.egroups.com/1/2567/3/_/17627/_/960167916/ ------------------------------------------------------------------------ To unsubscribe, send mail to lojban-unsubscribe@onelist.com