I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect. . . Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.

A great part of its theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often ea…

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far …

Finally, two days ago, I succeeded- not on account of my hard efforts, but by the grace of the Lord. Like a sudden flash of lightning, the riddle was solved. I…

Without books, God is silent, justice dormant, natural science at a stand, philosophy lame, letters dumb, and all things involved in darkness.

Philosophy is based on speculation, on logic, on thought, on the synthesis of what we know and on the analysis of what we do not know. Philosophy must include …

The progress of science requires the growth of understanding in both directions, downward from the whole to the parts and upward from the parts to the whole. A…