Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.Richard Courant

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.G. H. Hardy

Mathematics is as much an aspect of culture as it is a collection of algorithms.Carl Boyer

Mathematics is a game played according to certain simple rules with meaningless marks on paper.David Hilbert

You can not apply mathematics as long as words still becloud reality.Hermann Weyl

Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.P. Dirac.

The power of mathematics is often to change one thing into another, to change geometry into language.Marcus Du Sautoy

Mathematics is the gate and key to science.Roger Bacon

God used beautiful mathematics in creating the world.Paul Dirac

Mathematics is a game played according to certain rules with meaningless marks on paper.David Hilbert

Mathematics is written for mathematicians.Nicolaus Copernicus

The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit.Alfred North Whitehead

The most painful thing about mathematics is how far away you are from being able to use it after you have learned it.James Newman

Mathematics is concerned only with the enumeration and comparison of relations.Carl Friedrich Gauss

Mathematics cannot handle physical quantities like density that literally go to infinity.Gregory Benford

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

Mathematics allows for no hypocrisy and no vagueness.Stendhal

Mathematics is as old as Man.Stefan Banach

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.Felix Klein

What is best in mathematics deserves not merely to be learned as a task but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.Bertrand Russell

Mathematics, rightly viewed, possesses not only truth, but supreme beauty.Bertrand Russell

For the things of this world cannot be made known without a knowledge of mathematics.Roger Bacon

You do not study mathematics because it helps you build a bridge. You study mathematics because it is the poetry of the universe. Its beauty transcends mere things.Johnathan David Farley

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.Bertrand Russell

Mathematics is a place where you can do things which you can't do in the real world.Marcus Du Sautoy

Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.Shakuntala Devi

Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.Bertrand Russell

Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.Marcus Du Sautoy

Logic and mathematics are nothing but specialised linguistic structures.Jean Piaget

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.Danica Mckellar