Theoretical Mathematics Quotes

Algebras deal not with laws of number, but with such laws of the human thinking machinery as have been discovered in the course of investigations on numbers. Plane geometry deals with such laws of thought as were discovered by men intent on finding out how to measure surface; and solid geometry with such additional laws of thought as were discovered when men began to extend geometry into three dimensions.

I enjoyed like nothing else working in pure math, discovering new formulas.

One of the most amazing things about mathematics is the people who do math aren't usually interested in application, because mathematics itself is truly a beautiful art form. It's structures and patterns, and that's what we love, and that's what we get off on.

I still think in a parallel universe, I became a mathematician.

It would be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof.'

It is a lucky thing that newspaper reporters do not attend these meetings. If they did, they would see how little our activities are related to the real needs of society.

A mathematical theorem can be true whether or not it is realized in the world.

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.

The most important resource of counties of the future will be the number of math trained brains.

If you think about basic science or coming up with new theories of mathematics, these are not the kinds of things which are necessarily a well-defined market to pay people.

Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.

Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world

The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience

We might even invent laws for series or formula in an arbitrary manner, and set the engine to work upon them, and thus deduce numerical results which we might not otherwise have thought of obtaining; but this would hardly perhaps in any instance be productive of any great practical utility, or calculated to rank higher than as a philosophical amusement.

The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.

God Bless Theoretical Mathematics And May It Never Be Of Use To Anyone

I tried reading Hilbert. Only his papers published in mathematical periodicals were available at the time. Anybody who has tried those knows they are very hard reading.