Abstraction Quote by Ian Stewart

It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something,…

— G. H. Hardy

The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of…

— Alfred North Whitehead

To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of…

— Ivars Peterson

“Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable…

— Melvin Schwartz

Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems, to make…

— Paul Lockhart

But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of…

— Albert Einstein

Mathematics is the science which draws necessary conclusions.

— Benjamin Peirce

The usefulness of mathematics in furthering the sciences is commonly acknowledged: but outside the ranks of the experts there is little inquiry into its…

— Herbert Turnbull

“A key ingredient in appreciating what mathematics is about is to realize that it is concerned with ideas, understanding, and communication more than it…

— G. Arnell Williams

“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

If you are going to learn mathematics, you have to learn it not simply as an abstraction but as it is applied. I always…

— Jean Houston

There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be…

— Raymond Louis Wilder