Re: Real mathematics vs FOL




"Nam Nguyen" <namducnguyen@xxxxxxx> wrote:
biubo wrote:
I have two questions:

1)Can you show me some mathematical results which cannot be translated
into first order logic?

2) I remember that once I read on a book of Ebbinghaus, Flum, Thomas that
in f.o. logic you can not define the concept of torsion group.
Is the theory of torsion groups out of the scope of FOL ?

It would be helpful if you could give some ideas as to what you
think "real mathematics" should be.

the common mathematics, the one that you can do without knowing much about
logic.


.



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