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  1. Generalizing classical and effective model theory in theories of operations and classes.Paolo Mancosu - 1991 - Annals of Pure and Applied Logic 52 (3):249-308.
    Mancosu, P., Generalizing classical and effective model theory in theories of operations and classes, Annas of Pure and Applied Logic 52 249-308 . In this paper I propose a family of theories of operations and classes with the aim of developing abstract versions of model-theoretic results. The systems are closely related to those introduced and already used by Feferman for developing his program of ‘explicit mathematics’. The theories in question are two-sorted, with one kind of variable for individuals and the (...)
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  • A contextual–hierarchical approach to truth and the liar paradox.Michael Glanzberg - 2004 - Journal of Philosophical Logic 33 (1):27-88.
    This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context dependent. Once this context dependence is properly understood, it is argued, a hierarchical structure emerges which is neither ad (...)
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