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1 results

  • 4 - Gödel and Formalism Independence

  • Juliette Kennedy, University of Helsinki
  • Book:
    Gödel, Tarski and the Lure of Natural Language
    Published online:
    03 December 2020
    Print publication:
    17 December 2020, pp 61-98

  • Summary

    Gödel’s suggestion in his 1946 Princeton Bicentennial Lecture, to extend what he characterises as the formalism independence of the concept of computabilityto definability and provability, are discussed and implenented. The implementation for the concept of definabilitytakes the form of extended constructibility. Possible implementations having to do with provability are also discussed, mainly in connection with informal proof systems involving Gödel’s so-called large cardinal program.