About mathematics and the physical world Suppose it is proven that in the physical universe all magnitudes are finite:


*

*there are no infinitely long magnitudes.

*there are no infinitely small magnitudes.
Then:
Would we get a mathematic contradiction?
If we assume this to be true, then: would all the notions of infinite, and consequently, integrals, derivatives, limits, etc will have to be rewritten using finite operations?, e.g., sums instead of integrals?
Under this assumption, what kind of applicability would have (lets say) the concept of infinite and maths with infinite magnitudes?
Well, one can say, what's the problem, we can preserve math as it is, however, the implications of doing this seems to be risky...

The answer to your first question is no, which renders all your other questions moot. Mathematics is not a branch of physics. 
