Grothendieck foundations draft on line

[Colin McLarty <colin.mclarty@case.edu>]

With thanks to several people here who contributed ideas, I have put
on-line a draft giving two upper bounds on strength of methods in
cohomological number theory:  By some careful formulation, the
existing applications of Grothendieck methods in number theory
(notably the Weil Conjectures and Fermat's Last Theorem) can be
founded on a fragment of ZFC with the strength of simple type theory.
The whole apparatus of the SGA essentially verbatim can be founded on
a fragment weaker than the theory of V-sub-omega-times-3.

The draft is at

www.cwru.edu/artsci/phil/Groth found.pdf

Thanks again to all who helped, and to all who will comment.

best, Colin


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