Collections Quote by John B. Conway

The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians…

— William Thurston

A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the…

— Stefan Banach

We often hear that mathematics consists mainly of "proving theorems." Is a writer's job mainly that of "writing sentences?"

— Gian-Carlo Rota

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

— Alfred North Whitehead

The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or…

— IU?. I. Manin

Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.

— Antony Garrett Lisi

Mathematics may, be briefly defined as the science of quantities, and is one of the most important of disciplining studies which engage the practical…

— Rufus Choate

Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning.

— Richard P. Feynman

Mathematics is the science which draws necessary conclusions.

— Benjamin Peirce

It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous…

— Kenneth E. Boulding

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements…

— Richard Courant

A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.

— Anatol Rapoport