Gödel's Constructible Universe

Gödel's Constructible Universe (denoted as L) is a carefully built model of set theory where every set is constructed in a well-defined, step-by-step process, starting from the simplest sets. It demonstrates that the axioms of set theory, including the Generalized Continuum Hypothesis and the Axiom of Choice, can be proved consistent within this framework. Essentially, L shows that complex mathematical concepts can be assembled from basic building blocks in an orderly way, providing a universe where set theory's foundational questions have clear, managed answers.