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[lojban] Re: importing ro
la .and. cusku di'e
> 2. The universe is not empty.
I don't accept this unless you add it as an axiom to your system. Note
(from
http://www.cgl.uwaterloo.ca/~wbcowan/teaching/cs24
6/s97/notes/lect07.html):
"Instantiation: ForAll x: Px => There exists x: Px as long as the
universe is not empty."
and
"Note the important role played by the empty universe. (ForAll x:
Fx is true for any F if the universe is empty.)"
So it's not obvious that the *only* possibility in logic is that AxFx
-> ExFx on its own, without the additional postulate of a non-empty
universe.
mu'o mi'e .adam.
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