In all the areas within which the spiritual life of humanity is at work, the historical epoch wherein fate has placed us is an epoch of stupendous happenings.

To every object there correspond an ideally closed system of truths that are true of it and, on the other hand, an ideal system of possible cognitive processes by virtue of which the object and the truths about it would be given to any cognitive subject.

Direct the glance of apprehension & inquiry to pure consciousness, in its own absolute Being.

Experience by itself is not science.

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!

Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.

Philosophy as science, as serious, rigorous, indeed apodictically rigorous science -- the dream is over.