Breathe Quote by William Thurston

I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn…

— William Thurston

To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection…

— John B. Conway

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

One cannot really argue with a mathematical theorem.

— Stephen Hawking

Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which…

— Christopher Zeeman

“However, one cannot really argue with a mathematical theorem.”

— Stephen Hawking

It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention.

— Percy Williams Bridgman

Mathematics is merely the means to a general and ultimate knowledge of man.

— Friedrich Nietzsche

“Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world. Math…

— Jordan Ellenberg

Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be…

— Henri Poincare

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

— Mark Kac

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

— Keith Devlin