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

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Posts: 2,777
Registered: 12/13/04
Re: About truth of theories?
Posted: Apr 26, 2013 11:45 AM
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On 26/04/2013 9:40 AM, Zuhair wrote:
> 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.

What does it mean for a formal system to be "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?

There is no remainder in the mathematics of infinity.


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