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.

It just is nothing foreign to consciousness at all that could present itself to consciousness through the mediation of phenomena different from the liking itself; to like is intrinsically to be conscious.

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

If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals.

All consciousness is consciousness of something

I had to philosophize. Otherwise, I could not live in this world.

Natural objects, for example, must be experienced before any theorizing about them can occur.