> While we can use thought experiments to reason about the physical > world, my point is that mathematics is 'the domain of thought' , and > as such , the only kind of experiment you can have in mathematics is a > 'thought experiment' . Falsifiability in mathematics is a category > error .
What about Lakatos's Proofs and Refutations?
-- When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him. Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting