Hello,
On Sun, Nov 17, 2002 at 10:42:40PM +1000, Anthony Towns wrote:
> Alternatively, and IMO, simpler:
>
> Definition: A proposition is a pair of options, J and K from
> the Schwartz set, such that J defeats K.
>
> Definition: V(X,Y) is the number of voters who prefer option X to
> option Y.
>
> Definition: A proposition J,K is weaker than a proposition L,M
> if V(J,K) is less than V(L,M); or V(J,K) and V(L,M) are equal
> and V(K,J) is greater than V(M,L).
>
> Defintiion: A weakest proposition is a proposition that has no
> other proposition weaker than it. There may be more than one
> such proposition.
I like Anthony's formulation better than the one from the new draft.
Jochen
--
Omm
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http://www.mathematik.uni-kl.de/~wwwstoch/voss/privat.html
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