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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: SET THEORY and QUANTIFIER LOGIC are SUPERFLUOUS! You only need
1 or the other!
Replies: 8   Last Post: Nov 22, 2012 4:20 PM

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Frederick Williams

Posts: 2,166
Registered: 10/4/10
Re: SET THEORY and QUANTIFIER LOGIC are SUPERFLUOUS! You only
need1 or the other!
Posted: Nov 20, 2012 9:07 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Graham Cooper wrote:
>
> The notation in
>
> { x | p(x) }
>
> stands for ALL VALUES OF x
> that are satisfied in p(x)
>
> This is the SAME 'ALL' as ALL(x) ....predicate(..predicate...
> x ...) ...)
>
> ALL is merely SUBSET!

Yes, old fruit, in a topos there is a natural language the logic of
which is intuitionistic.

--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting

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