Re: number theory as a Physical theory?

[Robert Kolker]

Jaime Gaspar wrote:
> I think that non-euclidean geometry is obtained "dropping" one of the 
> Euclide's axioms. So, I would guess that the analog of non-euclidean 
> geometries, to out "conventional" number theory, would be obtained by 
> "dropping" one axiom.

There are several non-euclidean geometries. In one such, there are no 
parallel lines. In another (hyperbolic) one can draw more that one line 
parallel to a given line through a point external to the given line.

Bob Kolker