From jjllambias@hotmail.com Fri Mar  3 14:21:40 2000
X-Digest-Num: 383
Message-ID: <44114.383.2182.959273826@eGroups.com>
Date: Fri, 03 Mar 2000 14:21:40 PST
From: "Jorge Llambias" <jjllambias@hotmail.com>
Subject: Re: Final clubs
X-Yahoo-Message-Num: 2182

la bendjamn cusku di'e

>I think xorxes has a point.  It seems you would have to
>define at least one club to be final a priori to get
>any consistancy.

Yes you would. It is not too difficult to prove.
Assume there is one non-final club, N. This means
that membership in N does not preclude membership
in at least one final club, let's say F.

Now, let's see what would happen if in that same situation
we assume N is final. There is no problem! Obviously F
now cannot be final. All the clubs that were final before
and precluded N will still be final. The others won't.
Some additional clubs may now be final, if they preclude
N and all other remaining final clubs.

So, if there is one non-final club, then the definition
allows at least two possible sets of final clubs, and
maybe more.

The only way you can have well defined final clubs
is if all clubs are final. Otherwise, in some cases
having one a priori final club might help, but not
always.

co'o mi'e xorxes

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