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Topic: Interpreting ZFC
Replies: 14   Last Post: Apr 30, 2013 3:45 PM

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Jan Burse

Posts: 1,472
Registered: 4/12/05
Re: Interpreting ZFC
Posted: Apr 27, 2013 8:55 AM
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Zuhair schrieb:
> Pre-ZFC is a first order theory with the following axioms:
> (1) Powerful Boundedness: if phi is a formula in which x,y are free,
> then
> all closures of:
> EB: (Vy in B(Ex C A:phi)) & (Vx C A ((Ey:phi) ->(Ey in B:phi)))
> are axioms.
> C is subset relation.
> V;E signifies universal; existential quantification respectively.
> 2) Infinity.
> /
> The whole of ZFC can be interpreted in Pre-ZFC.
> Zuhair

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