Making mathematics accessible to the educated layman, while keeping high scientific standards, has always been considered a treacherous navigation be….

Mathematicians also make terrible salesmen. Physicists can discover the same thing as a mathematician and say 'We've discovered a great new law of na….

A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, i….

It is a common public relations gimmick to give the entire credit for the solution of famous problems to the one mathematician who is responsible for….

The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. M….

How did he do it? He must be a genius!.

We often hear that mathematics consists mainly of "proving theorems." Is a writer's job mainly that of "writing sentences?".

Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you haven't. You ….

Richard Feynman was fond of giving the following advice on how to be a genius. You have to keep a dozen of your favorite problems constantly present ….

Why is it that Serge Lange's Linear Algebra, published by no less a Verlag than Springer, ostentatiously displays the sale of a few thousand copies o….

God created infinity, and man, unable to understand infinity, had to invent finite sets..

Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists h….

The progress of mathematics can be viewed as progress from the infinite to the finite..

The lack of real contact between mathematics and biology is either a tragedy, a scandal or a challenge, it is hard to decide which..

If we have no idea why a statement is true, we can still prove it by induction..

Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the sam….

The pendulum of mathematics swings back and forth towards abstraction and away from it with a timing that remains to be estimated..

There is something in statistics that makes it very similar to astrology..

THE COMPUTER IS JUST AN INSTRUMENT for doing faster what we already know how to do slower. All pretensions to computer intelligence and paradise-tomo….

Theorems are not to mathematics what successful courses are to a meal..

Every lecture should state one main point and repeat it over and over, like a theme with variations. An audience is like a herd of cows, moving slowl….