How Godel Transformed Set Theory (original) (raw)

Kurt Gödel's work on the constructible universe L significantly influenced set theory by establishing the relative consistency of the Axiom of Choice and the Continuum Hypothesis, thereby promoting the framework of first-order logic. This paper surveys the prior developments in set theory and logic, details Gödel's contributions, and explores subsequent advancements including Paul Cohen's method of forcing and the evolution of large cardinal theories, highlighting the profound transformation of set theory into a sophisticated field of modern mathematics.