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Topic: If 2 systems represent the same sets do they prove the same theorems?
Replies: 4   Last Post: Feb 3, 2013 11:52 PM

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Charlie-Boo

Posts: 1,588
Registered: 2/27/06
Re: If 2 systems represent the same sets do they prove the same theorems?
Posted: Feb 3, 2013 6:21 PM
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On Feb 3, 5:29 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
> On Feb 2, 3:38 am, Charlie-Boo <shymath...@gmail.com> wrote:
>

> > That is, if for every wff w in system A there is a wff v in system B
> > such that |-w(x) iff |-v(x) for all x, and likewise for vice-versa B
> > is in A, then do systems A and B prove the same theorems?

>
> > C-B
>
> by extension system A = system B
>
> However, one system may have restricted comprehension on WFF while the
> other does not.
>
> Herc


Are you saying yes to my original question?

C-B



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