The author points out that Reichenbach made a mistake in his famous argument for the conventionality of the definition of simultaneity. Then a remedy for this difficulty is proposed, and afterwards Reichenbach's thesis is reconsidered.

The great vision of logical empiricism brought up a hope for ultimate solving the problem of understanding our knowledge. Starting, for the first time in the history of empiricism, from a point of view typical for mathematicians not empiricists, i.e. from the program of logicism, the philosophers of Vienna Circle aimed at creating a consistent philosophy which makes possible both mathematics and empirical knowledge. Today, after more than a half century, their efforts seem to be completely futile. The topic of (...) the paper is to find out the reasons why the program failed. It seems that the deepest reason for the failure lies in the philosophy of mathematics adopted by logical empiricists - namely logicism. The main problem of the contemporary methodology is to find a remedy for this ilness. the paper suggests some ideas in this direction. One of them is more serious approach to the philosophy of mathematics. Another is the recognition of the crucial role epistemic and other values play in scientific research. (shrink)