[Experimental Physicist] Phys. I cannot imagine myself perceiving non-Euclidean space! Math. Look at the reflection of the room in a polished doorkno… - Arthur Eddington

The mind has an outlook which transcends the natural law by which it functions.

The law that entropy always increases, holds, I think, the supreme position among the laws of Nature. If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations — then so much the worse for Maxwell's equations. If it is found to be contradicted by observation — well, these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation.

Proof is the idol before whom the pure mathematician tortures himself.