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Hi
I read in Penrose's "Emperor's new Mind ", that Euclidean geometry is
actually a Physical theory derived from our sense-experiences of the
world around us.
That is why its axioms seemed so obviously true..
Hence Non-Euclidean geometries took time to be accepted as vaild.
Is it possible that even our concept of numbers is similarly inspired.
And so Number theory is as much a Physical theory as Euclidean
geometry.
If this is true , then what would be the analog of Non-euclidiean
geometries, to out 'conventional' number theory..
thanks
Gsax
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