The whole idea that a complex matrix of inter-related decisions made by millions of people can be captured in a mathematical model is ridiculous. We can not treat economics like the natural sciences because it is impossible for us to gain the sort of data that would be necessary to conduct such experiments.
Austrian economics is generally based on logical reasoning that follows from certain axioms. You can attempt to falsify it by arguing that the foundational axioms are wrong, or that the chain of reasoning is wrong. If you want to critique Austrian economics, I would suggest you read about it, and then make such an argument.
Generalized statements such as "it's just a bunch of asserted truth statements" is itself an asserted "truth statement", and the use of mathematical models does not make something right or wrong. As volition said, specify exactly where you think Austrian economics goes wrong or stfu about it.