Date: Apr 26, 2013 11:40 AM
Author: Zaljohar@gmail.com
Subject: About truth of theories?
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?