Broadly speaking, **pure mathematics** is mathematics which studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as *speculative mathematics*, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, engineering, and so on. Another insightful view put forth is that *pure mathematics is not necessarily applied mathematics*.

Read more about Pure Mathematics: Generality and Abstraction, Purism, Subfields

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### Famous quotes containing the words pure mathematics, mathematics and/or pure:

“The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest laws of atomic physics or even of *pure mathematics* and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience.”

—Willard Van Orman Quine (b. 1908)

“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the *mathematics* of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”

—Walter Reisch (1903–1963)

“I am too *pure* for you or anyone.”

—Sylvia Plath (1932–1963)