Bruno Marchal a écrit  (to Jamie N Rose):


> Concerning your use of the word "proposition", I don't understand
> exactly what you mean by the words "exists" "accessible" "perfectly
> accessible", .... The whole sentence is rather hard to follow.
> Godel used this:
>  From A -> B and A -> ~B, infer ~A.
>
> Godel did not really use the non intuitionist principle (but readily
> accepted by arithmetical platonist):
>  From A -> B and A -> ~B, infer ~A.
>
> Of course Godel was platonist (even set-platonist), but he did it to
> satisfy as much as possible the finititary requirement imposed by its
> goal to solve (negatively) Hilbert's problem.
> Of course with Church thesis, all this is made much simpler.



The formula in the second paragraph should be:


 From ~A -> B and ~A -> ~B, infer A.

Sorry.

(An intuitionist will accept only "From ~A -> B and ~A -> ~B, infer 
~~A.).


Bruno


http://iridia.ulb.ac.be/~marchal/


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