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 ...

Patrick Dehornoy, Another Use of Set Theory, The Bulletin of Symbolic Logic, Vol. 2, No. 4 (Dec., 1996), pp. 379-391 ...

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 ...

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.