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Topic: About truth of theories?
Replies: 2   Last Post: Apr 27, 2013 6:30 AM

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Posts: 2,665
Registered: 6/29/07
About truth of theories?
Posted: Apr 26, 2013 11:40 AM
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If a theory T is true and S is a sentence of the form Ex(phi) that is
not a theorem of T but yet belonging to a theory interpretable in T,
then T+S is true.

We maintain that if any two theories in the same language are true
then there cannot be a sentence of any of them that is the negation of
a sentence in the other.

Now is there any contradiction with the above?

If the above is true, wouldn't it solve the question about truth of
the axiom of choice and CH and GCH?

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