it is hard to think of any result that would approach the famous incompleteness theorem of Kurt Gödel. In 1900, when David Hilbert launched a programme to put all of mathematics on a sound ...

A sneak peek to Gödel's incompleteness theorem is also provided. The textbook is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests. Familiarity with proofs ...

In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form ...