Everything boils down to mathematics one way or another, even logic. The trouble with praxeology is not the lack of math, though; it is the notion that results

Everything boils down to mathematics one way or another, even logic. The trouble with praxeology is not the lack of math, though; it is the notion that results need not be validated empirically because they're based on logic. However, your assumptions (i.e. axioms) need not hold in nature and any number of mistakes could had been made in the reasoning process. This is why being based on logic does not make a model magically free of errors.