We try to answer the question which is the "right" foundation of mathematics, second order logic or set theory. Since the former is usually thought of as a formal language and the latter as a first ...

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 ...

We discuss the work of Paul Bernays in set theory, mainly his axiomatization and his use of classes but also his higher-order reflection principles. Journal Information The Bulletin of Symbolic Logic ...