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It will be another million years, at least, before we understand the primes.

Indeed, nowadays no electrical engineer could get along without complex numbers, and neither could anyone working in aerodynamics or fluid dynamics.

Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies.

I have discovered such wonderful things that I was amazed... Out of nothing I have created a strange new universe.

The life of a mathematician is dominated by an insatiable curiosity, a desire bordering on passion to solve the problems he is studying.

The title which I most covet is that of teacher. The writing of a research paper and the teaching of freshman calculus, and everything in between, falls under this rubric. Happy is the person who comes to understand something and then gets to explain it.

Mathematics is one of the deepest and most powerful expressions of pure human reason, and, at the same time, the most fundamental resource for description and analysis of the experiential world.

Pedagogy, like language itself, can either liberate or imprison ideas, inspire of suffocate constructive thinking.

Somebody came up to me after a talk I had given, and say, "You make mathematics seem like fun." I was inspired to reply, "If it isn't fun, why do it?"

In certain kinds of writing, particularly in art criticism and literary criticism, it is normal to come across long passages which are almost completely lacking in meaning.

No human investigation can be called real science if it cannot be demonstrated mathematically.

I don't believe in mathematics.

As long as algebra is taught in school, there will be prayer in school.

We can and should place special emphasis on developing in our youth constructive incentives — a love of science, engineering, and math, so that they will want to take advanced scientific courses and thereby help meet the needs of our times.

Women have a passion for mathematics. They divide their age in half, double the price of their clothes, and always add at least five years to the age of their best friend.

Small deeds done are better than great deeds planned.

Music is not math. It's science. You keep mixing the stuff up until it blows up on you, or it becomes this incredible potion.

The study of infinity is much more than a dry academic game. The intellectual pursuit of the absolute infinity is, as Georg Cantor realized, a form of the soul's quest for God. Whether or not the goal is ever reached, an awareness of the process brings enlightenment.

Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true. God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exist.

Scientific research and other studies have demonstrated that arts education can enhance American students' math and language skills and improve test scores which in turn increase chances of higher education and good jobs in the future.

The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of the sciences, is no doubt the peculiar certainty and necessity of its results.

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