ABSTRACT

The Logical Investigations whose publication begins with these Prolegomena, have arisen out of unavoidable problems which have constantly hindered, and finally interrupted, the progress of my efforts, spread over many years, at achieving a philosophical clarification of pure mathematics. Together with questions regarding the origin of the basic concepts and insights of mathematics, these efforts were especially concerned with difficult questions of mathematical theory and method. The expositions of the traditional logic, so often reformulated, should have succeeded in providing us with an intelligible and perspicuous account of the rational essence of deductive science, with its formal unity and symbolic methodology. A study of the actually given deductive sciences, however, left all these things problematic and obscure. The deeper that my analyses penetrated, the more conscious I became that the logic of our time was not adequate to that actual science which it was none the less its function to elucidate.