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Routes to Triviality
Authors:Rogerson  Susan  Restall  Greg
Affiliation:(1) School of Philosophy and Bioethics School of Computer Science and Software Engineering, Monash University, Australia;(2) Department of Philosophy, University of Melbourne, Australia
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.
Keywords:Abelian logic  contraction  Curry's paradox  naï  ve comprehension  Non-classical implicational logics  Peirce's law
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