I know this world is ruled by infinite intelligence. Everything that surrounds us- everything that exists – proves that there are infinite laws behind it. There can be no denying this fact. It is mathematical in its precision

Business, to be successful, must be based on science, for demand and supply are matters of mathematics, not guesswork.

The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?

One cannot really argue with a mathematical theorem.

Strange! I don’t understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.

If there is something very slightly wrong in our definition of the theories, then the full mathematical rigor may convert these errors into ridiculous conclusions.

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way.

Mathematical fame, if you have the cash to pay for it, is one of the soundest and steadiest of investments.

I do not know an instance of a major mathematical advance initiated by a man past fifty.

A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way.

The “seriousness” of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not.

My success rate is 100 percent. Do the math.

In short, absolute, so-called mathematical, factors never find a firm basis in military calculations. From the very start, there is an interplay of possibilities, probabilities, good luck and bad, that weaves its way throughout the length and breadth of the tapestry. In the whole range of human activities, war most closely resembles a game of cards.

The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.

The modern development of mathematical logic dates from Boole’s Laws of Thought (1854). But in him and his successors, before Peano and Frege, the only thing really achieved, apart from certain details, was the invention of a mathematical symbolism for deducing consequences from the premises which the newer methods shared with Aristotle.

Physics is mathematical not because we know so much about the physical world, but because we know so little: it is only its mathematical properties that we can discover.

Only mathematics and mathematical logic can say as little as the physicist means to say. (1931)

I wanted certainty in the kind of way in which people want religious faith. I thought that certainty is more likely to be found in mathematics than elsewhere. But I discovered that many mathematical demonstrations, which my teachers expected me to accept, were full of fallacies, and that, if certainty were indeed discoverable in mathematics, it would be in a new field of mathematics, with more solid foundations than those that had hitherto been thought secure. But as the work proceeded, I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was no more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.