Journal of Philosophical Logic

, Volume 26, Issue 1, pp 45–56

On a Paradox of Hilbert and Bernays

  • Graham Priest

DOI: 10.1023/A:1017900703234

Cite this article as:
Priest, G. Journal of Philosophical Logic (1997) 26: 45. doi:10.1023/A:1017900703234


The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathematik. Their interpretation of the result is similar to the standard intepretation of Tarski’s Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Graham Priest
    • 1
  1. 1.Philosophy DepartmentUniversity of QueenslandBrisbaneAustralia

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