"No monument should stand over my grave, only an apple-tree, in memory of the three apples; the two of Eve and Paris, …"

"In 1823, non-Euclidean geometry was discovered simultaneously, in one of those inexplicable coincidences, by a Hungar…"

"There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came to a…"

"We need heuristic reasoning when we construct a strict proof as we need scaffolding when we erect a building."

""Groping" and "muddling through" is usually described as a solution by trial and error. ...a series of trials, each o…"

"Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All on…"

"Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expres…"

"[M]athematicians and physicists think alike; they are led, and sometimes misled, by the same patterns of ."

"The best of ideas is hurt by uncritical acceptance and thrives on critical examination."

"Euclid's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the c…"