Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Boris Čulina, Logic of paradoxes in classical set theories, Synthese, Vol. 190, No. 3 (February 2013), pp. 525-547 ...

This brief article is intended to introduce the reader to the field of algebraic set theory, in which model of set theory of a new and fascinating kind are determined algebraically. The method is ...

Game theory, computers, the atom bomb—these are just a few of things von Neumann played a role in developing, changing the 20th century for better and worse.

To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth.