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 ...

The Journal places a special emphasis on the applications of philosophical logic in other disciplines, not only in mathematics and the natural sciences but also, for example, in computer science, ...

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 ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic ...

Bear with me. This logic is illuminating. In set theory, a union of a collection of sets is defined as the set of all members of the collection.