There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics.

It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.

For the execution of the voyage to the Indies, I did not make use of intelligence, mathematics or maps.

Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear.

Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.

You know, I'm not terribly fast at my times tables, because that's not what I think mathematics is about.

To me, mathematics, computer science, and the arts are insanely related. They're all creative expressions.

Philosophically, mathematics is not a part of science. Mathematics studies patterns, science studies nature

But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.

Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines.

Very little mathematics has direct applications - though fortunately most of it has plenty of indirect ones.

I rather stumbled into philosophy. When I began my undergraduate career at Cambridge, I studied mathematics.

Being exposed to theory, stimulated by a basic love of concepts and mathematics, was a marvelous experience.

My interests started about in science and in mathematics, I always thought I was going to be a mathematician.

I wasn't actually very naturally good at economics. My brain doesn't work very well, in terms of mathematics.

As for explaining mathematical phenomena it opens the question: explaining to whom? humans?, other computers?

Counting pairs is the oldest trick in combinatorics... Every time we count pairs, we learn something from it.

The so-called mysteries of quantum mechanics are in its philosophical interpretation, not in its mathematics.

I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent.

... mathematics is the science of skillful operations with concepts and rules invented just for this purpose.

In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

With randomness it is very unlikely to be embarrassed, but even if you get embarrassed, you can't replicate it.

Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick.

My basic mathematics is rather weak, so when some of the theories are broken into equations, I get rather lost.

To understand the Universe, you must understand the language in which it's written, the language of Mathematics.

Computation involves going from a question to an answer. Mathematics involves going from an answer to a question.

Before creation, God did just pure mathematics. Then He thought it would be a pleasant change to do some applied.

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking.

But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius.

[I can] scarcely write upon mathematics or mathematicians. Oh for words to express my abomination of the science.

As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.

The mathematical sciences wield their particular language made of digits and signs, no less subtle than any other.

I think the biggest misconception is that everybody has to learn mathematics. That seems to be a complete mistake.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

Mathematicians seem to have no difficulty in creating new concepts faster than the old ones become well understood.

In every department of physical science there is only so much science, properly so-called, as there is mathematics.

I knew my purpose well and clear: to show how Nature behaves without cluttering its beauty with abtruse mathematics.

I changed the course of my life, from the rigidity of mathematics and the corporate rhythm to a more bohemian world.

The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.

The State of Israel must be at the forefront of global science - in physics, in mathematics, in medicine, in biology.

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

But I quite like the way you can talk about science without necessarily using mathematics, but using metaphors instead.

Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has.

There is no national science, just as there is no national multiplication table; what is national is no longer science.

In India, I learned a proverb that says, 'Distrust the calculation seven times over, the mathematician a hundred times.'

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