"It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure…"

"If I compare arithmetic with a tree that unfolds upward into a multitude of techniques and theorems while its root dr…"

"A judgment, for me is not the mere grasping of a thought, but the admission of its truth."

"Ein Philosoph, der keine Beziehung zur Geometrie hat, ist nur ein halber Philosoph, und ein Mathematiker, der keine p…"

"If the task of philosophy is to break the domination of words over the human mind [...], then my concept notation, be…"

"I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments an…"

"Nur im Zusammenhange eines Satzes bedeuten die Wörter etwas. Es wird also darauf ankommen, den Sinn eines Satzes zu e…"

"Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it …"

"'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. W…"

"Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician."