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

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

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

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

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

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

"Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in…"

"To write and speak correctly is certainly necessary; but it is not sufficient. A derivation correctly presented in th…"

"The cookbook gives a detailed description of ingredients and procedures but no proofs for its prescriptions or reason…"

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