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The Adventure of ReasonInterplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940$
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Paolo Mancosu

Print publication date: 2010

Print ISBN-13: 9780199546534

Published to Oxford Scholarship Online: May 2011

DOI: 10.1093/acprof:oso/9780199546534.001.0001

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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
DOI:10.1093/acprof:oso/9780199546534.003.0007

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 After a brief summary of previous work in this area, this chapter describes, using unpublished archival material, the first reactions in Vienna and Berlin to Gödel’s groundbreaking results.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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