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375A subject with no object: strategies for nominalistic interpretation of mathematicsOxford University Press. 1997.Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obsc…Read more
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44Philosophy of Mathematics in the Twentieth Century: Selected EssaysHistory and Philosophy of Logic 36 (1): 93-95. 2015.The second volume of Charles Parsons’ selected papers, dedicated to Solomon Feferman, Wilfred Sieg, and William Tait, collects eleven mainly historical essays and reviews on philosophy and philosop...
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35Axioms for tense logic. II. Time periodsNotre Dame Journal of Formal Logic 23 (4): 375-383. 1982.
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Mathematics, Models, and Modality: Selected Philosophical EssaysCambridge University Press. 2008.John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be o…Read more
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37Discussion—Soames on EmpiricismPhilosophical Studies 129 (3): 619-626. 2006.Philosophical Analysis in the Twentieth Century by Scott Soames reminds me of nothing so much as Lectures on Literature by Vladimir Nabokov. Both are works that arose immediately out of the needs of undergraduate teaching, yet each manages to say much of significance to knowledgeable professionals. Each indirectly provides an outline of the history of its field, through a presentation of selected major works, taken in chronological order and including items that are generally recognized as marki…Read more
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11Review: Nicholas Rescher, A Probabilistic Approach to Modal Logic (review)Journal of Symbolic Logic 35 (4): 583-583. 1970.
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29In this era when results of empirical scientific research are being appealed to all across philosophy, when we even find moral philosophers invoking the results of brain scans, many profess to practice "naturalized epistemology," or to be "epistemological naturalists." Such phrases derive from the title of a well-known essay by Quine,[1] but Paul Gregory's thesis in the work under review is that there is less connection than is usually assumed between Quine's variety of naturalized epistemology …Read more
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32From preference to utility: A problem of descriptive set theoryNotre Dame Journal of Formal Logic 26 (2): 106-114. 1985.
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24Proofs about Proofs: a defense of classical logic. Part I: the aims of classical logicIn Michael Detlefsen (ed.), Proof, Logic and Formalization, Routledge. 1992.
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