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Re: [lojban] final clubs
From: Invent Yourself <xod@sixgirls.org>
On Fri, 3 Mar 2000, Jorge Llambias wrote:
> From: "Jorge Llambias" <jjllambias@hotmail.com>
>
>
> > > >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
> > >
> > > 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?
>
> la xod cusku di'e
>
> >Because you can't be a member of B and C, unless you join them
> >simultaneously. If A was final and {B, C} were not, you could join both B
> >and C.
>
> Sorry, I don't understand. A can be final by itself:
> Membership in A precludes membership in any other
> final club (which happen to be none).
A imposes no conditions. If A were the only final club, it would have
to impose the condition of not joining any other final clubs that should
arise later.
But {B, C} forbid joining final clubs, according to the oath promising to
swear no other oaths. So they are final.
If you want to try to create a final club that doesn't swear any oaths,
that goes against the definition. The mirror case is not valid.
> Membership in B or C does not preclude membership
> in A, which is the only final club, so they are not
> final clubs. This is consistent with the definition
> of final clubs. You cannot join both B and C, but
> that is not enough to make them final.
>
> Of course, B and C being final and A not final is
> also consistent. That is why final clubs are not well
> defined in this situation. We have two possible
> answers.
>
> co'o mi'e xorxes
>
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