Philosophical knowledge is the knowledge gained by reason from concepts ; mathematical knowledge is the knowledge gained by reason from the construction of concepts.
I do feel that spiritual progress does demand at some stage that we should cease to kill our fellow creatures for the satisfaction of our bodily wants.
Actual philosophers... are commanders and law-givers: they say "thus it shall be!", it is they who determine the Wherefore and Whither of mankind, and they possess for this task the preliminary work of all the philosophical laborers, of all those who have subdued the past - they reach for the future with creative hand, and everything that is or has been becomes for them a means, an instrument, a hammer.
The assumption that animals are without rights, and the illusion that our treatment of them has no moral significance, is a positively outrageous example of Western crudity and barbarity. Universal compassion is the only guarantee of morality.
There is more to be learnt from every page of David Hume than from the collected philosophical works of Hegel, Herbart, and Schleiermacher are taken together.
The poet presents the imagination with images from life and human characters and situations, sets them all in motion and leaves itto the beholder to let these images take his thoughts as far as his mental powers will permit. This is why he is able to engage men of the most differing capabilities, indeed fools and sages together. The philosopher, on the other hand, presents not life itself but the finished thoughts which he has abstracted from it and then demands that the reader should think precisely as, and precisely as far as, he himself thinks. That is why his public is so small.
What verse is for the poet, dialectical thinking is for the philosopher. He grasps for it in order to get hold of his own enchantment, in order to perpetuate it.