Journal of Philosophical Logic

, Volume 33, Issue 4, pp 421–436 | Cite as

Routes to Triviality

  • Susan Rogerson
  • Greg Restall
Article

Abstract

It is known that a number of inference principles can be used to trivialise the axioms of naïve comprehension – the axioms underlying the naïve theory of sets. In this paper we systematise and extend these known results, to provide a number of general classes of axioms responsible for trivialising naïve comprehension.

Abelian logic contraction Curry's paradox naïve comprehension Non-classical implicational logics Peirce's law 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Susan Rogerson
    • 1
  • Greg Restall
    • 2
  1. 1.School of Philosophy and Bioethics School of Computer Science and Software EngineeringMonash UniversityAustralia
  2. 2.Department of PhilosophyUniversity of MelbourneAustralia

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