INTRODUCTION: The Liar Sentences, statements, and Propositions The universe of hypersets RUSSELLIAN PROPOSITIONS AND THE LIAR: Modeling Russellian propositions Truth of Russellian propositions Consequences of the Russellian account Sentences and Russellian propositions AUSTINIAN PROPOSITIONS AND THE LIAR: Modeling Austinian propositions Austinian propositions and the world An Austinian semantics Relating the Russellian and Austinian accounts Negation and denial Conclusions Bibliography Index.
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McGee et al. (1991) studied this question.