any math majors?

im thinking of switching from CS to math. i still want to be a programmer, but the kinds of programming that im interested are mathy in nature (learning from data, scientific computing, graphical simulations, etc). my school teaches object oriented design pattern pseudo science instead of real cs.

>>5
I think >>3 is an ultrafinistist: he rejects even potential infinity, or any notion of taking a set of infinite objects. However, such sets arise if you accept the induction axiom schema. I find it as a valid principle, and I cannot fathom it being false. While I think we can question other infinity axioms (such as the one which states that there is always an object which is "greater" than all the previous ones - found in constructive set theory, which is why an infinity of infinities appear when considering ordinals/cardinals), but I don't think one can question the infinity of natural numbers, not unless Peano Arithmetic is to be inconsistent.