Kurt Gödel was a brilliant logician, mathematician, and philosopher who made significant contributions to scientific and philosophical thinking in the 20th century. His work on the foundations of mathematics has had immense impact and has become essential to our understanding of the subject. In his book “The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory,” Gödel presents the proof for his third theorem, which deals with the consistency of the continuum hypothesis. Included in this edition is a foreword by Richard Laver, Professor of Mathematics at the University of Colorado at Boulder, who provides insight into the underlying ideas and importance of Gödel’s theorems and proofs. This book is a must-read for anyone interested in mathematics or philosophy.