Although a typical mathematical task has a single correct answer, in some cases, the assumptions of a proposition determine its truth. Such relativity of truth plays a major role in the development of ...

The Pigeonhole Principle is a really simple concept, discovered all the way back in the 1800s. It has explained everything from the amount of hair on people’s heads to fundamental principles of ...

Reverse mathematics is a framework for analysing the minimal axioms required to prove mathematical theorems by working within subsystems of second-order arithmetic. Its central concern is to establish ...