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14Partially-Ordered (Branching) Generalized Quantifiers: A General DefinitionJournal of Philosophical Logic 26 (1): 1-43. 1997.Following Henkin’s discovery of partially-ordered (branching) quantification (POQ) with standard quantifiers in 1959, philosophers of language have attempted to extend his definition to POQ with generalized quantifiers. In this paper I propose a general definition of POQ with 1-place generalized quantifiers of the simplest kind: namely, predicative, or “cardinality” quantifiers, e.g., “most”, “few”, “finitely many”, “exactly α ”, where α is any cardinal, etc. The definition is obtained in a seri…Read more
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10Correspondence pluralismSynthese 202 (5): 1-24. 2023.In this paper I present a pluralist view of truth of a special kind: correspondence-pluralism. Correspondence-pluralism is the view that to fulfill its function in knowledge, truth requires correspondence principles rather than mere coherence, pragmatist, or deflationist principles. But these correspondence principles do not need to be the naive principles of traditional correspondence: copy, mirror image, direct isomorphism. Furthermore, these correspondence principles may vary, in certain disc…Read more
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8Review: D. M. Gabbay, What is a Logical System? (review)Journal of Symbolic Logic 61 (4): 1396-1400. 1996.
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8Invariance and necessityIn Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium, De Gruyter. 2019.
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6Truth, the Liar, and Tarski's SemanticsIn Dale Jacquette (ed.), A Companion to Philosophical Logic, Blackwell. 2006.This chapter contains sections titled: Tarski's Theory of Truth Tarski's Solution to the Liar Paradox Tarski's Method of Defining Truth for Formalized Languages Tarskian Semantics Three Criticisms of Tarski's Theory Kripke's Solution to the Liar Paradox A Reinterpretation of Tarski's Theory Truth Beyond Logic.
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3Protocols, Truth and Convention (review)Journal of the History of Philosophy 35 (1): 153-155. 1997.
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22. Wallace, Free Choice, and FatalismIn Steven M. Cahn & Maureen Eckert (eds.), Freedom and the Self: Essays on the Philosophy of David Foster Wallace, Columbia University Press. pp. 31-56. 2015.
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Logical ConsequenceCambridge University Press. 2022.To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include: the passage from Tarski's definition of truth to his definition of logical consequence, the need for a non-proof-theoretic definition, the idea of a semantic defini…Read more
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The Bounds of Logic: A Generalized ViewpointBritish Journal for the Philosophy of Science 45 (4): 1078-1083. 1991.
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Logical TermsIn D. M. Borchert (ed.), Supplement to the Encyclopedia of Philosophy, Macmillan. pp. 317-319. 1996.
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The Logical Roots of IndeterminacyIn G. Sher & R. Tieszen (eds.), Between Logic and Intuition: Essays in Honor of Charles Parsons, . pp. 491-524. 1999.
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2008 Spring Meeting of the Association for Symbolic LogicBulletin of Symbolic Logic 14 (3): 412-417. 2008.
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Semantics and LogicIn Shalom Lappin (ed.), The handbook of contemporary semantic theory, Blackwell Reference. pp. 509-535. 1996.
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Truth, the Liar, and Tarski's SemanticsIn D. Jacquette (ed.), A Companion to Philosophical Logic, Blackwell. pp. 145-163. 2002.
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Invariance and logicality in perspectiveIn Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic : Essays on Consequence, Invariance, and Meaning, Cambridge University Press. 2021.
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Generalized Logic: A Philosophical Perspective with Linguistic ApplicationsDissertation, Columbia University. 1989.The question motivating my investigation is: Are the basic philosophical principles underlying the "core" system of contemporary logic exhausted by the standard version? In particular, is the accepted narrow construal of the notion "logical term" justified? ;As a point of comparison I refer to systems of 1st-order logic with generalized quantifiers developed by mathematicians and linguists . Based on an analysis of the Tarskian conception of the role of logic I show that the standard division of…Read more
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