X-Digest-Num: 380 Message-ID: <44114.380.2120.959273826@eGroups.com> Date: Wed, 01 Mar 2000 15:57:32 -0500 From: John Cowan Subject: Re: Sets etc. X-Yahoo-Message-Num: 2120 Content-Length: 1704 Lines: 49 Jorge Llambias wrote: > But is there any reason why masses cannot have a most important > member? Sets can be sliced into members in only one way: masses, in many different ways. > I'll give it a shot. Let's use {girzu} for "club", and > {mulgirzu} for "final club". This should work: > > ca'e ro da poi girzu cu mulgirzu > I define: Every club is a final club. > > I think that is the only way that what you called a > definition can really define final clubs. This definition is too inclusive. Here's an example. Membership in Club A does not preclude membership in any club. Membership in Club B precludes membership in every other club. Membership in Club C precludes membership in Club D. Membership in Club D precludes membership in Club A. Membership in Club E precludes membership in Clubs A and C. There are no other clubs. Then: Club B is trivially final. Club A cannot be final because it is compatible with all other clubs. Club C is incompatible with every other club but A, so it is final. Club D is incompatible with A, B, and C, but not E, so it is final if E is not final. The same applies to Club E, mutatis mutandis. Therefore neither D nor E is final. His visits are occasional to the 'Senior Educational' For it is against the rules For any one Cat to belong to both that And the 'Joint Superior Schools'." --T. S. Eliot -- Schlingt dreifach einen Kreis vom dies! || John Cowan Schliesst euer Aug vor heiliger Schau, || http://www.reutershealth.com Denn er genoss vom Honig-Tau, || http://www.ccil.org/~cowan Und trank die Milch vom Paradies. -- Coleridge (tr. Politzer)