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Mathematical proofs are falsifiable, and there are a lot of hypotheses, that are not proved yet: https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_math

• lutusp 13y ago
  > Mathematical proofs are falsifiable No, they aren't. A mathematical proof is by definition unfalsifiable. If an error is found in a proof (as with Wiles' proof of Fermat's Last Theorem), that it isn't a proof ... yet. And mathematical proofs aren't empirical, another requirement for science. Scientific theories are falsifiable in perpetuity because the possibility always exists for new empirical evidence to show up that falsifies an existing theory. This possibility doesn't exist for mathematical proofs.