The principle is so perfectly general that no particular application of it is possible.

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.

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

A mathematics teacher is a midwife to ideas.

In the "commentatio" (note presented to the Russian Academy) in which his theorem on polyhedra (on the number of faces, edges and vertices) was first published Euler gives no proof. In place of a proof, he offers an inductive argument: he verifies the relation in a variety of special cases. There is little doubt that he also discovered the theorem, as many of his other results, inductively.

There are many questions which fools can ask that wise men cannot answer.

Look around when you have got your first mushroom or made your first discovery: they grow in clusters.