Comment Re:And this is how we get to the more concrete har (Score 1) 528
Nope, they don't underlie the scientific method. They are merely tools of the scientific method. Immeasurably useful tools, but it is the scientific method at the base, not mathematics, logic or philosophy. When experiment shows that mathematical models can successfully predict observed phenomena, those mathematical models are used. When experiment fails to show that such models do so, they are tossed out. They may still be of interest to mathematicians, but scientists have no further use for them.