Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

In future, our society will recognize greater scientific, social, and economic value in abstract mathematical concepts, logical structures, and the indefinite perception and experience of human beings ...

In the physical world, objects tend to have an expected shape and form. But if you move into the abstract realm of the truly random, things can start to seem a little strange. Prof Wendelin Werner, ...