Logic and Foundations

Logic and Foundations of Mathematics delve into the formal languages, axioms, and theorems that underpin the entirety of mathematical thought. This category addresses the nature of mathematical truths through propositional logic, predicate logic, set theory, and model theory. It explores how these elements define proofs, structures, and methods in mathematics, often questioning and solidifying the very principles upon which different branches of mathematics are built, making it critical for advanced mathematical studies and philosophical reasoning.