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132Luca Incurvati* Conceptions of Set and the Foundations of MathematicsPhilosophia Mathematica 28 (3): 395-403. 2020.
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58Christ and Culture RevisitedJournal of the Society of Christian Ethics 31 (2): 55-74. 2011.WESTERN SCHOLARS HAVE POINTED OUT BOTH THE USEFULNESS AND limitations of H. Richard Niebuhr's Christ and Culture. This essay relates Niebuhr's five types to discussions of church and culture in contemporary Russian Orthodoxy. I propose a sixth type, Christ in culture, that best illuminates the Church's current program of votserkovlenie. To its Russian representatives, "Christ in culture" enabled the Christian faith to survive communist efforts to destroy the Church, and this cultural legacy cont…Read more
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40Making the Best of It: Following Christ in the Real WorldJournal of the Society of Christian Ethics 31 (1): 225-227. 2011.
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213Truth and the Absence of FactPhilosophical Review 111 (4): 602-604. 2002.This volume reprints a dozen of the author’s papers, most with substantial postscripts, and adds one new one. The bulk of the material is on topics in philosophy of language, but there are also two papers on philosophy of mathematics written after the appearance of the author’s collected papers on that subject, and one on epistemology. As to the substance of Field’s contributions, limitations of space preclude doing much more below than indicating the range of issues addressed, and the general o…Read more
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286Platonism and anti-platonism in mathematicsPhilosophical Review 110 (1): 79-82. 2001.Mathematics tells us there exist infinitely many prime numbers. Nominalist philosophy, introduced by Goodman and Quine, tells us there exist no numbers at all, and so no prime numbers. Nominalists are aware that the assertion of the existence of prime numbers is warranted by the standards of mathematical science; they simply reject scientific standards of warrant.
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129Charles Parsons, Mathematics in Philosophy: Selected Essays. Ithaca, NY: Cornell University Press (2005), 368 pp., $35.00 (paper)Philosophy of Science 74 (4): 549-552. 2007.
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25Jody Azzouni. Deflating existential consequence: a case for nominalism. Oxford University Press, Oxford, 2004, viii + 342 pp (review)Bulletin of Symbolic Logic 10 (4): 573-577. 2004.
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111Jonathan Bennett. A philosophical guide to conditionals. Clarendon Press, Oxford, 2003, viii + 388 ppBulletin of Symbolic Logic 10 (4): 565-570. 2004.
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239New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin: Oxford: Oxford University Press, 2014, pp. x + 363, £50.00Australasian Journal of Philosophy 93 (1): 187-190. 2015.
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5Kripke on FunctionalismCritica 48 (144): 3-18. 2016.En el texto se exponen las opiniones de Saul Kripke acerca del funcionalismo en la filosofía de la mente, que aún permanecen en gran parte sin publicarse, con base en la transcripción de una charla suya de 1984 sobre este tema, y se identifican algunas preguntas sin resolver.
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78Which Modal Models are the Right Ones (for Logical Necessity)?Theoria 18 (2): 145-158. 2010....
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52Axioms of Infinity as the Starting Point for Rigorous MathematicsAnnals of the Japan Association for Philosophy of Science 20 17-28. 2012.
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66Consistency proofs in model theory: A contribution to JensenlehreAnnals of Mathematical Logic 14 (1): 1. 1978.
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92Which Modal Models are the Right Ones (for Logical Necessity)?Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 18 (2): 145-158. 2003.Recently it has become almost the received wisdom in certain quarters that Kripke models are appropriate only for something like metaphysical modalities, and not for logical modalities. Here the line of thought leading to Kripke models, and reasons why they are no less appropriate for logical than for other modalities, are explained. It is also indicated where the fallacy in the argument leading to the contrary conclusion lies. The lessons learned are then applied to the question of the status o…Read more
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141Wang Hao. From mathematics to philosophy. International library of philosophy and scientific method. Humanities Press, New York 1974, xiv + 428 ppJournal of Symbolic Logic 42 (4): 579-580. 1977.
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106Computability and LogicCambridge University Press. 1974.This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness Theorems, b…Read more
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559Against EthicsEthical Theory and Moral Practice 10 (5): 427-439. 2007.This is the verbatim manuscript of a paper which has circulated underground for close to thirty years, reaching a metethical conclusion close to J. L. Mackie’s by a somewhat different route.
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