Without the theorem of the excluded middle, all kinds of difficulties arise. In fact, many mathematical proofs are based on this very principle. It is no surprise, then, that only a few mathematicians ...

When mathematician Georg Cantor first glimpsed the true nature of infinity, it changed mathematics forever. He demonstrated that infinity isn’t just endless; it exists in different sizes, each ...

Aczel's compact and fascinating work of mathematical popularization uses the life and work of the German mathematician Georg Cantor (1845-1918) to describe the history of infinity--of human ...