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

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Posts: 2,665
Registered: 6/29/07
Interpreting ZFC
Posted: Apr 26, 2013 7:37 AM
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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,
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.


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