Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
I have hardly ever known a mathematician who was capable of reasoning.
For the execution of the voyage to the Indies, I did not make use of intelligence, mathematics or maps.
To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.
No poems can please for long or live that are written by water drinkers.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
I never know what I think about something until I read what I've written on it.
I am not one of the great composers. All the great have produced enormously. There is everything in their work - the best and the worst, but there is always quantity. But I have written relatively little.
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
Even when laws have been written down, they ought not always to remain unaltered.
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius.
No verse can give pleasure for long, nor last, that is written by drinkers of water.
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.
If I had not existed, someone else would have written me, Hemingway, Dostoevski, all of us.
Not a few other very eminent and scholarly men made the same request, urging that I should no longer through fear refuse to give out my work for the common benefit of students of Mathematics.
My intention here is to make it clear that not a single cell of my composition, here in regard to The Raven, is found by chance or intuition, that the composition moved towards perfection with the precision and inevitability of a mathematical equation.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
I play the notes as they are written, but it is God who makes the music.
Travel provided many interesting experiences, but perhaps the most useful lesson I learned was that I really had no proficiency for learning the thousands of characters of the written Chinese language.
Every man's life is a fairy tale written by God's fingers.
To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.
Therefore I would not have it unknown to Your Holiness, the the only thing which induced me to look for another way of reckoning the movements of the heavenly bodies was that I knew that mathematicians by no means agree in their investigation thereof.
Language also encodes our past. We want to know who we are. To know who we are, we have to know who we used to be. Consequently, our literature, written in the past, anchors us in that past.