

Sat, 04 Mar 2000 17:46:35 PST
X-Originating-IP: [200.41.247.52]
To: [email-masked]
Subject: Final clubs - the final solution
Date: Sat, 04 Mar 2000 17:46:35 PST
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X-eGroups-From: "Jorge Llambias" <[email-masked]>
From: "Jorge Llambias" <[email-masked]>

This is my final solution, incorporating pc's ideas:

Definition 1: Two clubs are said to be *mutually preclusive*
iff membership in one precludes membership in the other.

Definition 2: A set of clubs is said to be *maximally
preclusive* iff every pair of its members is mutually
preclusive and no club that is not a member is mutually
preclusive with all of its members.

"Definition" 3: The *set of final clubs* is one and only
one of the maximally preclusive sets. Preferably not
a singleton set, and preferably one whose member clubs
are as exclusive as possible, with long traditions, etc.

Would that do as a non-circular definition? I'll try
translating it to Lojban if it is accepted.

co'o mi'e xorxes

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