At the lowest cognitive level, they are processes of experiencing, or, to speak more generally, processes of intuiting that grasp the object in the original.

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.

Within this widest concept of object, and specifically within the concept of individual object, Objects and phenomena stand in contrast with each other.

Something similar is still true of the courses followed by manifold intuitions which together make up the unity of one continuous consciousness of one and the same object.

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.

Psychologically experienced consciousness is therefore no longer pure consciousness; construed Objectively in this way, consciousness itself becomes something transcendent, becomes an event in that spatial world which appears, by virtue of consciousness, to be transcendent.