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

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.

The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. This paper considers the ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics.

Technical Terms Mathematical Logic: The study of formal systems, including model theory and proof theory, that provides rigorous methods for establishing truth and validity within mathematics.