Godel's Incompleteness Theorems

Misha Glenny and guests discuss one of the wonders of the natural world. In 1875 in the western Pacific, the crew of HMS Challenger discovered the Mariana Trench which turned out to be deeper than Everest is high, by two kilometres. Trenches like Mariana form when one tectonic pl ...  Show more

Melvyn Bragg and guests discuss the evolution of lungs and of the first breaths, which can be traced back 400 million years to when animal life spread from rock pools and swamps onto land, as some fish found an evolutionary advantage in getting their oxygen from air rather than w ...  Show more

The nature of proof and mathematics as a creative enterprise. Not all that is true can be proved as such, the high hopes of David Hilbert for placing the entirety of mathematics on a "firm foundation", the mathematical world-shattering results of Kurt Gödel which frustrated that ...  Show more

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ...  Show more

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ...  Show more

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ...  Show more