What is pure mathematics?

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"Pure mathematics is, in its ways, the poetry of logical ideas."

-Albert Einstein

Kepler's Platonic solid model of the solar system from Mysterium Cosmographicum (1596)

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Kepler (Wikipedia)

A proof from Euclid's elements, which says that given a line segment, one can...

Mathematics as art and science

Mathematics is a living science, where problems and theory come from the discipline itself. As such, pure mathematics can be considered both as an art and a science. Mathematics is actually much more than just a tool and methodology!

An analogy to illustrate Poincaré's conjecture: the contraction of a loop on...

Classical problems

Through the centuries humans have bee fascinated by mathematical problems, and many famous problems remain unsolved today. Meanwhile, several well-known mathematical problems have been solved for many centuries.

In 2007, the Cassini spacecraft carried out a high-precision test of general...

Applications

Problems and deep mathematical theories that, in the beginning, were studied without thought of practical applications, have shown themselves to be crucial in practical contexts many decades later.

18.11.2010