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Mathematics isn't a science because it doesn't provide us with empirical answers. That's precisely the difference between physics and mathematics: the former te
by throwawaymath 8y ago
Mathematics isn't a science because it doesn't provide us with empirical answers. That's precisely the difference between physics and mathematics: the former tells us what is, while the latter only tells us what must be, given certain specific assumptions.
Or more succinctly: mathematics doesn't give us truths, it gives us consequences. The statement, "2 + 2 = 4" is not an empirical fact intrinsic to the universe. It's a consequence of our definition of natural numbers. It's considered a useful definition because (among other things) of its application as a foundation for engineering and the sciences. But many other useful areas of mathematics have essentially no basis in reality.
- username90 8y ago> Mathematics isn't a science because it doesn't provide us with empirical answers. Then physics isn't a science either since only parts of the field fits this criteria. I think you will realize that the distinction between physics and math isn't as clear cut as you imagine, it is not uncommon for physicists to publish in math journals and vice versa.
- throwawaymath 8y agoThe distinction is pretty clear cut. The two disciplines are philosophically different by category, not degree. Just because much of theoretical physics is applied math and physicists can publish in math journals doesn't mean the two occupy the same domain. One is ostensibly guided by empiricism (even if it's not always possible), the other is not.