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Depends how you look at it. There's lots of crossover between people with scientific and mathematical aptitude, and mathematics is extensively used by science,
by AimHere 12y ago
Depends how you look at it. There's lots of crossover between people with scientific and mathematical aptitude, and mathematics is extensively used by science, and mathematics is often lumped in with the science faculties at universities, but at some philosophical level, mathematics and science are totally different disciplines.
Mathematics proves theorems rigorously by a priori reasoning, given some set of self-evident axioms and rules of inference. The ultimate test of 'truth' in mathematics is just whether the theorems can be proven from the given axioms.
Science attempts to describe how the world works, through experimentation and theorising. The test of 'truth' in science is whether the theory matches with all the known experimental results.
Mathematical 'truths', once discovered, are essentially tautologies and are always true, no matter what (unless a mistake has been made in a proof, which does sometimes happen). Scientific 'truths' are theories - as-yet unfalsified guesses about how the world works that might be proven wrong by the next experiment someone does.