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Gödel’s Ontological Dreams

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Gödel, arguably the greatest logician of the 20th century, dreamed of establishing philosophical theses and ontological results with the rigour and precision of mathematics. His dream was to a remarkable extent fulfilled. Two modal principles that characterize properties of proof, time, and God reveal some intriguing logical interconnections among Gödel’s Second Incompleteness Theorem, his argument for the unreality of time in the General Theory of Relativity, and his Ontological argument.

Original languageEnglish
Title of host publicationFrontiers Collection
PublisherSpringer VS
Pages461-476
Number of pages16
DOIs
StatePublished - 2017

Publication series

NameFrontiers Collection
VolumePart F921
ISSN (Print)1612-3018
ISSN (Electronic)2197-6619

Keywords

  • Brouwersche axiom
  • Gödel’s ontological argument
  • Gödel’s second incompleteness theorem
  • Löb’s axiom
  • Modal logic
  • Tense logic
  • Time travel in Einstein’s general theory of relativity

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