Cohen's main thesis is that

pure mathematics in mid-nineteenth-century England and America (primarily mathematical logic, along with some work on algebra and number systems) owes its origin to neo-Platonic, Kantian, and transcendental philosophies of mathematics as well as to religious idealism seeking to promote toleration.

Where does the positiveness of

pure mathematics lie?

So there are chapters on Stevin and

pure mathematics, perspective, military architecture, water flow, astronomy, mechanics, navigation, politics, music, accountancy, and language.

Derbyshire handles with kid gloves, as well he might, a question unavoidable when talking about an unproved hypothesis, that of probabilistic reasoning in

pure mathematics.

Science's reliance upon generalisation from observation means that it can never reach the indubitability of

pure mathematics.

This year the Campus had a 100 per cent record in many subjects including physics, human biology,

pure mathematics, applied mathematics, electronics and environment science.

He discovered the calculus, advanced a theory of colour, worked in

pure mathematics, optics and astronomy and laid the groundwork for mathematical physics.

Breadth, depth, breadth and depth, and teacher resources were identified for

Pure Mathematics 10, 11, and 12.

The book also addresses the question of why history has no indication that Africa contributed to the development of

pure mathematics, except for the contributions of ancient Egypt.

Five years on, Tom, from Brighton, is studying A-Levels in politics, history and

pure mathematics, as well as working on a new website.

The discovery of the planet Ceres by an Italian astronomer in 1801 led to a shift in Gauss's major interest from

pure mathematics to astronomy.

What's left open is the philosophical significance of

pure mathematics, what we say about those theorems and theories of mathematics that are as yet "unapplied", e.