From sentto-44114-2944-960189446-mark=kli.org@returns.onelist.com Mon Jun 05 07:15:25 2000 Return-Path: Delivered-To: shoulson-kli@meson.org Received: (qmail 5002 invoked from network); 5 Jun 2000 07:15:24 -0000 Received: from zash.lupine.org (205.186.156.18) by pi.meson.org with SMTP; 5 Jun 2000 07:15:24 -0000 Received: (qmail 15383 invoked by uid 40001); 5 Jun 2000 07:17:28 -0000 Delivered-To: kli-mark@kli.org Received: (qmail 15380 invoked from network); 5 Jun 2000 07:17:28 -0000 Received: from fh.egroups.com (208.50.144.71) by zash.lupine.org with SMTP; 5 Jun 2000 07:17:28 -0000 X-eGroups-Return: sentto-44114-2944-960189446-mark=kli.org@returns.onelist.com Received: from [10.1.10.38] by fh.egroups.com with NNFMP; 05 Jun 2000 07:17:27 -0000 Received: (qmail 23956 invoked from network); 5 Jun 2000 07:17:26 -0000 Received: from unknown (10.1.10.27) by m4.onelist.org with QMQP; 5 Jun 2000 07:17:26 -0000 Received: from unknown (HELO stmpy-5.cais.net) (205.252.14.75) by mta2 with SMTP; 5 Jun 2000 07:17:25 -0000 Received: from bob (54.dynamic.cais.com [207.226.56.54]) by stmpy-5.cais.net (8.10.1/8.9.3) with ESMTP id e557HOX90521 for ; Mon, 5 Jun 2000 03:17:25 -0400 (EDT) (envelope-from lojbab@lojban.org) Message-Id: <4.2.2.20000605031427.00afd250@127.0.0.1> X-Sender: vir1036/pop.cais.com@127.0.0.1 X-Mailer: QUALCOMM Windows Eudora Pro Version 4.2.2 To: lojban@egroups.com In-Reply-To: <00060421183101.20570@neofelis> From: "Bob LeChevalier (lojbab)" 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, 05 Jun 2000 03:18:42 -0400 Subject: Re: [lojban] Transfinite ordinals Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit At 09:13 PM 06/04/2000 -0400, Pierre Abbat wrote: >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? We are not adding new words; the language is baselined. (Other than lujvo which are more accurately described as built from existing pieces of the language, and borrowings which are taken from other languages, and are considered only semi-Lojban as a result). 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). lojbab -- lojbab lojbab@lojban.org Bob LeChevalier, President, The Logical Language Group, Inc. 2904 Beau Lane, Fairfax VA 22031-1303 USA 703-385-0273 Artificial language Loglan/Lojban: http://www.lojban.org ------------------------------------------------------------------------ WRITERS WANTED! Themestream allows ALL writers to publish their articles on the Web, reach thousands of interested readers, and get paid in cash for their work. Click below: http://click.egroups.com/1/3840/3/_/17627/_/960189433/ ------------------------------------------------------------------------ To unsubscribe, send mail to lojban-unsubscribe@onelist.com