The Austrian school is entirely pseudoscientific and non-falsifiable, working from axioms and rejecting empirical evidence as irrelevant. You get to do that in math, but not in science. Scientists base their theories on what they observe, not on what they assume, and not on what they want to believe.
"Austrian economics very much has the psychology of a cult. Its devotees believe that they have access to a truth that generations of mainstream economists have somehow failed to discern; they go wild at any suggestion that maybe they’re the ones who have an intellectual blind spot. And as with all cults, the failure of prophecy — in this case, the prophecy of soaring inflation from deficits and monetary expansion — only strengthens the determination of the faithful to uphold the faith."
—Paul Krugman, "Fine Austrian Whines"[1]
Austrian economics (or the Austrian school of economics) is a school of economic thought that eschews mathematical modeling and empirical testing in favor of a narrative approach termed "praxeology."[2][3]
Libertarianism is a very simple idea, backed up by a mountain of econobabble for the purpose of shoehorning that simple idea into every situation possible. Enter the Austrian school. Some, like Gary Becker, thought basic economic models could and should be applied to everything in life, no matter how mundane.[4]
As the claims of Austrian economists are difficult to verify through empirical testing (and the same economists openly admit to it), it is generally considered to be a heterodox approach[5] or outright pseudoscience. Austrian arguments as to why statistical methods cannot adequately describe human behavior can seem intuitively compelling, but they fail to provide the mathematical proof demonstrating why normally unbiased estimates suddenly become biased simply because they are dealing with people who make decisions. In this sense, the Austrian school is to economics as a certain other Austrian school was to psychology. Perhaps one reason they are so uncomfortable with empiricism is that Austrian economists are more interested in defending the political ideology of libertarianism than they are in advancing economic understanding,[6] and rigorous testing can sometimes undermine deeply held political beliefs.