Lecture VIII

The strange thing is that most Western philosophers totally deny the reality of the very thing that my Philosophy of Freedom seeks to awaken as something real in the soul of the reader. Countless philosophers have expounded the view that pure thinking does not exist but is bound to contain traces, however diluted, of sense perception. A strong impression is left that philosophers who maintain this have never really studied mathematics or gone into the difference between analytical and empirical mechanics. Specialization, however, has already grown to such an extent that nowadays philosophy is often pursued by people totally lacking any knowledge of mathematical thinking. The pursuit of philosophy is actually impossible without a grasp of at least the spirit of mathematical thinking. We have seen what Goethe's attitude was toward this spirit of mathematical thinking, even though he made no claim himself to any special training in mathematics. Many thus would deny the existence of the very faculty I would like those who study The Philosophy of Freedom to acquire.