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Re:[Lojban](unknown) Addendum
From: pycyn@aol.com
To the result add that there are at least two mutually excluding clubs. If
there are not, there is not a unique solution even with the global
requirement of preclusion. Then any club by itself could be final.
I made the changes to get rid of xorxes' result that the final club had to be
the set of all clubs to reachable by the definition -- this seemed wrong: (A,
B) mutually preclusive, C precluded by neither and, indeed, with two members,
one in A, the other in B. But {C} is a maximally preclusive set in the
original sense and so would mean the definition gave no solution here. I
suppose this amounts to taking the definition as having existential import,
which, as you know, I seldom have much trouble doing.
The union of maximally preclusive sets, by the bye, is not maximally
preclusive, since it is a superset to each of the maximally preclusive sets.
pc
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