X-Digest-Num: 382
Message-ID: <44114.382.2172.959273826@eGroups.com>
Date: Fri, 03 Mar 2000 12:41:35 PST
From: "Jorge Llambias" <jjllambias@hotmail.com>
Subject: Re: The Quine challenge
X-Yahoo-Message-Num: 2172
Content-Length: 1437
Lines: 42


> > - Membership in A is compatible with membership in any other club.
> > - Membership in B precludes membership in any other club.
> >
> > Are they contradictory?
> > I'm waiting for John's answer on this.
>
>I think they are:  preclusion is irreflexive, symmetric, and transitive.
>When did I suggest that preclusion was not symmetric?

When you gave this example against my contention that
every club must be final:

>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.

How can membership in A not preclude membership in any club
and at the same time membership in D preclude membership in A?
That's where I got the idea that maybe by "preclusion" you
meant something like the rules of the club. Obviously Club A
can have no precluding rule and D preclude its members from
being members of A. I take it that is not what you meant?

So, how is it possible that some club is not final and
at the same time final clubs are well defined? Can we
have an example?

co'o mi'e xorxes

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