Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"

Target entity: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Context triple: [constructible universe, hasReferenceWork, Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"]

• A. Gödel's incompleteness theorems
  Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
• B. Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
  Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
• C. Untersuchungen über die Grundlagen der Mengenlehre
  Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
• D. New Foundations for Mathematical Logic
  New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
• E. Gödel's ontological proof
  Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Target entity description: Gödel's 1940 monograph "The Consistency of the Continuum Hypothesis" is a landmark work in set theory that introduced the constructible universe (L) and proved that the Continuum Hypothesis and the Axiom of Choice are consistent with Zermelo–Fraenkel set theory, assuming ZF itself is consistent.

• A. Gödel's incompleteness theorems
  Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
• B. Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
  Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
• C. Untersuchungen über die Grundlagen der Mengenlehre
  Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
• D. New Foundations for Mathematical Logic
  New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
• E. Gödel's ontological proof
  Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
• F. None of above. chosen