- Title Pages
- Dedication
- Preface
- Acknowledgments
- Summary
- 1 The Development of Mathematical Logic from Russell to Tarski, 1900–1935 (with Richard Zach and Calixto Badesa)
- Summary
- 2 Hilbert and Bernays on Metamathematics
- 3 Between Russell and Hilbert: Behmann on the Foundations of Mathematics
- 4 The Russellian Influence on Hilbert and His School
- 5 On the Constructivity of Proofs: A Debate among Behmann, Bernays, Gödel, and Kaufmann
- 6 Wittgenstein's Constructivization of Euler's Proof of the Infinity of Primes (with Mathieu Marion)
- 7 Between Vienna and Berlin: The Immediate Reception of Gödel's Incompleteness Theorems
- 8 Review of Gödel's <i>Collected Works</i>, Vols. IV and V
- Summary
- 9 Hermann Weyl: Predicativity and an Intuitionistic Excursion
- 10 Mathematics and Phenomenology: The Correspondence Between O. Becker and H. Weyl (with T. Ryckman)
- 11 Geometry,Physics, and Phenomenology: Four Letters of O. Becker to H. Weyl (with T. Ryckman)
- 12 “Das Abenteuer der Vernunft”: O. Becker and D. Mahnke on the Phenomenological Foundations of the Exact Sciences
- Summary
- 13 Harvard 1940–1941: Tarski, Carnap, and Quine on a Finitistic Language of Mathematics for Science
- 14 Quine and Tarski on Nominalism
- Summary
- 15 Tarski, Neurath, and Kokoszyńska on the Semantic Conception of Truth
- 16 Tarski on Models and Logical Consequence
- 17 Tarski on Categoricity and Completeness: An Unpublished Lecture from 1940
- 18 Appendix: “On the Completeness and Categoricity of Deductive Systems” (1940) by Alfred Tarski
- Bibliography
- Index

# Between Vienna and Berlin: The Immediate Reception of Gödel's Incompleteness Theorems

# Between Vienna and Berlin: The Immediate Reception of Gödel's Incompleteness Theorems

- Chapter:
- (p.232) 7 Between Vienna and Berlin: The Immediate Reception of Gödel's Incompleteness Theorems
- Source:
- The Adventure of Reason
- Author(s):
### Paolo Mancosu (Contributor Webpage)

- Publisher:
- Oxford University Press

What were the earliest reactions to Gödel’s incompleteness theorems? After a brief summary of previous work in this area, this chapter describes, using unpublished archival material, the first reactions in Vienna and Berlin to Gödel’s groundbreaking results. In particular, it look at how Carnap, Hempel, von Neumann, Kaufmann, and Chwistek, among others, dealt with the new results. The chapter also contains interesting information on Carnap’s and von Neumann’s reaction to the results and how they appraised its impact on the viability, or lack thereof, of Hilbert’s program.

*Keywords:*
Gödel, incompleteness theorems, Herbrand, Hempel, Carnap, von Neumann

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- Title Pages
- Dedication
- Preface
- Acknowledgments
- Summary
- 1 The Development of Mathematical Logic from Russell to Tarski, 1900–1935 (with Richard Zach and Calixto Badesa)
- Summary
- 2 Hilbert and Bernays on Metamathematics
- 3 Between Russell and Hilbert: Behmann on the Foundations of Mathematics
- 4 The Russellian Influence on Hilbert and His School
- 5 On the Constructivity of Proofs: A Debate among Behmann, Bernays, Gödel, and Kaufmann
- 6 Wittgenstein's Constructivization of Euler's Proof of the Infinity of Primes (with Mathieu Marion)
- 7 Between Vienna and Berlin: The Immediate Reception of Gödel's Incompleteness Theorems
- 8 Review of Gödel's <i>Collected Works</i>, Vols. IV and V
- Summary
- 9 Hermann Weyl: Predicativity and an Intuitionistic Excursion
- 10 Mathematics and Phenomenology: The Correspondence Between O. Becker and H. Weyl (with T. Ryckman)
- 11 Geometry,Physics, and Phenomenology: Four Letters of O. Becker to H. Weyl (with T. Ryckman)
- 12 “Das Abenteuer der Vernunft”: O. Becker and D. Mahnke on the Phenomenological Foundations of the Exact Sciences
- Summary
- 13 Harvard 1940–1941: Tarski, Carnap, and Quine on a Finitistic Language of Mathematics for Science
- 14 Quine and Tarski on Nominalism
- Summary
- 15 Tarski, Neurath, and Kokoszyńska on the Semantic Conception of Truth
- 16 Tarski on Models and Logical Consequence
- 17 Tarski on Categoricity and Completeness: An Unpublished Lecture from 1940
- 18 Appendix: “On the Completeness and Categoricity of Deductive Systems” (1940) by Alfred Tarski
- Bibliography
- Index