Quote:
So it's not a science in the same way as mathematics and logic aren't. I can live with that.
There is some conceptual confusion in this statement, or so it seems to me.
First, mathematics, as a pure field apart from application, is logic, essentially. The foundations of logic in general are in axioms about the kinds of relationships abstract objects might bear to each other, there being certain kinds of relation that we take to be self-evident, like identity, difference, distance, etc. etc.
Logic or mathematics, when applied in the form of models that are supposed to accurately represent and predict the behavior of observed entities in the world, is the primary tool of modern scientific investigation. It is certainly possible to do science without using advanced mathematical or logical systems to build models, but the progress of the last 100 years has shown the great value of formalizing rules of inference in science using those tools.
Praxeology is also an attempt to apply logical methods towards understanding real-world phenomena, namely the behavior of economic systems. It is on a different level than mathematics or logic as pure fields of study. Accuracy in prediction and explanatory power are the two primary ways to evaluate the usefulness of such an application, these things don't come into play when studying mathematics or logic as things in themselves, nor does the principle of falsifiability.
So, to the extent that praxeology makes predictions about outcomes of testable events in the real world, and to the extent that you are committed to actually testing them, and iteratively modifying the model, it can be called a science properly using Popper's criteria. But it seems like most austrian economics enthusiasts want to take the output of the system as being beyond reproach as a consequence of the the fact that it is "logical". This is my problem.
So much complexity is hidden in the axiom choices, and so much fuzziness exists in the semantics of the "objects" being treated as atomic in the this very informal logical system, that I do not find it reasonable to take the deductions as being solid to the point of beyond impeachment. I think I described it before as being more akin to a system of heuristics. There is a decent chance that some conclusions will prove to be generally true, but I expect there to be plenty of areas in the "phase space" of rules that can be derived from praxeology that prove to not map very well to the real world, because of the amount of complexity that is oversimplified in the logic being used.
In my opinion, proponents of praxeology are wrong in assuming that merely taking on the form of a logical system is enough to guarantee the reliability of the deductions produced from the system. If the validity of the system did not depend on the accuracy of its representation of the actual world, than this would be of no concern, just as it is of no concern to pure mathematicians or pure logicians. They are only concerned with consistency and completeness. But economists should obviously also be concerned with real world accuracy.