Mathematics being the only "pure science" Today, in Astronomy, being an entry level science class, the professor goes over basic concepts of science. Such as that we seek to falsify, because it is much easier than verifying. In fact, verifying is impossible because we cannot have an infinite amount of tests and data. Of course, all of that is 100% correct as far as I know, but then he said: "..except in Mathematics. We can verify things in Mathematics, Mathematics is the only pure science." Agree? This contradicts some quotes I've seen such as "all of math is theory." What are your thoughts?