Re: final clubs

["Jorge Llambias" <jjllambias@hotmail.com>]

> >        Definition: Every club is a final club.
> >
> > To disprove it all you have to do is find a configuration
> > where some clubs are not final and yet final clubs are
> > well defined. I don't think there is one.
>
>Suppose we have the following situation:
>Club A imposes no conditions on its members
>Club B requires members to swear a loyalty oath,
>        and to swear no other oaths
>Club C requires members to swear a loyalty oath,
>        and to swear no other oaths
>
>The set of final clubs is well-defined, and is composed of
>clubs B and C (the set of clubs which require loyalty oaths);
>membership in club A neither precludes nor is precluded by
>membership in clubs B or C.  This doesn't help us find a
>non-recursive definition of 'final club', but it does
>illustrate that not all clubs are necessarily final.
>
>--
>Carl Burke

How can you tell in that example that it is B and C that
are final, and not that A is the only final club?

co'o mi'e xorxes
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