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The Reception of Gödel’s Incompleteness Theorems

  • John W. DawsonJr.
Chapter

Abstract

It is natural to invoke geological metaphors to describe the impact and the lasting significance of Gödel’s incompleteness theorems. Indeed, how better to convey the impact of those results-whose effect on Hilbert’s program was so devastating and whose philosophical reverberations have yet to subside- than to speak of tremors and shock waves? The image of shaken foundations is irresistible.

Keywords

English Translation Formal System Incompleteness Theorem Cardinality Restriction Arithmetical Statement 
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Copyright information

© Philosophy of Science Association 1985

Authors and Affiliations

  • John W. DawsonJr.
    • 1
  1. 1.Department of MathematicsPennsylvania State UniversityYorkUSA

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