From sentto-44114-3445-962923779-mark=kli.org@returns.onelist.com Thu Jul 06 22:48:10 2000 Return-Path: Delivered-To: shoulson-kli@meson.org Received: (qmail 14770 invoked from network); 6 Jul 2000 22:48:09 -0000 Received: from zash.lupine.org (205.186.156.18) by pi.meson.org with SMTP; 6 Jul 2000 22:48:09 -0000 Received: (qmail 18170 invoked by uid 40001); 6 Jul 2000 22:49:59 -0000 Delivered-To: kli-mark@kli.org Received: (qmail 18167 invoked from network); 6 Jul 2000 22:49:56 -0000 Received: from ho.egroups.com (208.50.99.200) by zash.lupine.org with SMTP; 6 Jul 2000 22:49:56 -0000 X-eGroups-Return: sentto-44114-3445-962923779-mark=kli.org@returns.onelist.com Received: from [10.1.10.38] by ho.egroups.com with NNFMP; 06 Jul 2000 22:49:41 -0000 Received: (qmail 10216 invoked from network); 6 Jul 2000 22:49:38 -0000 Received: from unknown (10.1.10.142) by m4.onelist.org with QMQP; 6 Jul 2000 22:49:38 -0000 Received: from unknown (HELO imo-r15.mx.aol.com) (152.163.225.69) by mta1 with SMTP; 6 Jul 2000 22:49:39 -0000 Received: from BestATN@aol.com by imo-r15.mx.aol.com (mail_out_v27.10.) id a.ba.7c39e65 (3874) for ; Thu, 6 Jul 2000 18:49:28 -0400 (EDT) Message-ID: To: lojban@egroups.com X-Mailer: AOL 5.0 for Windows sub 109 From: BestATN@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: Thu, 6 Jul 2000 18:49:27 EDT Subject: [lojban] infinite sets Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit In a message dated 7/6/2000 08:20:38 Eastern Daylight Time, lojban@egroups.com writes: > 2. The set of even numbers and the set of integers are both infinite, > but how does one express the notion that the latter is bigger, because > there are twice as many integers as even numbers? In what property > does the set of integers exceed the set of even numbers? I presume > there is a well-known answer to this question, but the best I can > do on my own is something along the lines of "frequency" or > "distributional density" (within the set of integers/numbers/whatever); > if that is the way to go, then how does one actually say it in Lojban? > > --And. The set of integers is NOT bigger than the set of even integers; they both have the same number of members, since for every member in one set there is a corresponding member in the other set; none are left over. They are one-to-one. Steven Lytle Here follows some attempts to get these ideas across in Lojban. The number of members of the first set equals the number of members of the second set. le namcu pe le cmima pe le pamoi girzu du le namcu pe le cmima pe le remoi girzu da kancu le'i namcu noi li re fendi li ci'i li pa kancu [ kac ] count x1 (agent) counts the number in set x2 to be x3 [number/count] counting [off] by units x4 (x2 is complete set); (cf. kanji, satci, merli) fendi [ fed ] divide x1 (agent) divides/partitions/separates x2 into sections/parts/ind. x3 by method/partition x4 [also segments]; (cf. sepli, bitmu, fatri, dilcu, katna, frinu) ------------------------------------------------------------------------ Law.com is the preeminent online destination for legal professionals. Visit Law.com for exclusive content from American Lawyer Media, online CLE Seminars, Practice Centers and Career Listings. http://click.egroups.com/1/5803/4/_/17627/_/962923777/ ------------------------------------------------------------------------ To unsubscribe, send mail to lojban-unsubscribe@onelist.com