
14Philosophy and its children: logic, computation, and the emergence of natural and social sciencePhilosophical Studies 19. forthcoming.The middle chapters of Soames’s The World Philosophy Made are briefly summarized and examined. There are some local slips, but globally the work displays an impressive knowledge of and a distinctive viewpoint on a wide range of important intellectual disciplines and their original roots in and continuing connections with philosophy.

Set TheoryCambridge University Press. 2022.Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the settheoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, con…Read more

KripkeWiley. 2013.Saul Kripke has been a major influence on analytic philosophy and allied fields for a halfcentury and more. His early masterpiece, Naming and Necessity, reversed the pattern of two centuries of philosophizing about the necessary and the contingent. Although much of his work remains unpublished, several major essays have now appeared in print, most recently in his longawaited collection Philosophical Troubles. In this book Kripke’s longtime colleague, the logician and philosopher John P. Burge…Read more

KripkeWiley. 2013.Saul Kripke has been a major influence on analytic philosophy and allied fields for a halfcentury and more. His early masterpiece, Naming and Necessity, reversed the pattern of two centuries of philosophizing about the necessary and the contingent. Although much of his work remains unpublished, several major essays have now appeared in print, most recently in his longawaited collection Philosophical Troubles. In this book Kripke’s longtime colleague, the logician and philosopher John P. Burge…Read more

24Measurable Selections: A Bridge Between Large Cardinals and Scientific Applications?Philosophia Mathematica. forthcoming.ABSTRACT There is no prospect of discovering measurable cardinals by radio astronomy, but this does not mean that higher set theory is entirely irrelevant to applied mathematics broadly construed. By way of example, the bearing of some celebrated descriptivesettheoretic consequences of large cardinals on measurableselection theory, a body of results originating with a key lemma in von Neumann’s work on the mathematical foundations of quantum theory, and further developed in connection with pr…Read more

Cats, Dogs, and So OnIn Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4, Oxford University Press. 2008.

35Luca Incurvati* Conceptions of Set and the Foundations of MathematicsPhilosophia Mathematica 28 (3): 395403. 2020.

47Platonism and AntiPlatonism in MathematicsPhilosophical Review 110 (1): 79. 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.

1Christ and Culture RevisitedJournal of the Society of Christian Ethics 31 (2): 5574. 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

6Making the Best of It: Following Christ in the Real WorldJournal of the Society of Christian Ethics 31 (1): 225227. 2011.

42Truth and the Absence of FactPhilosophical Review 111 (4): 602604. 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

23Platonism and antiplatonism in mathematicsPhilosophical Review 110 (1): 7982. 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.

33Charles Parsons:Mathematics in Philosophy: Selected Essays,:Mathematics in Philosophy: Selected Essays (review)Philosophy of Science 74 (4): 549552. 2007.

22C. L. Hamblin. The modal “probably.”Mind, n.s. vol. 68 , pp. 234–240Journal of Symbolic Logic 35 (4): 582583. 1970.

9Robert Vaught. Descriptive set theory in Lω,1ω, Cambridge summer school in mathematical logic, held in Cambridge/England, August 1–21, 1971, edited by A.R.D. Mathias and H. Rogers, Lecture notes in mathematics, vol. 337, SpringerVerlag, Berlin, Heidelberg, and New York, 1973, pp. 574–598.  Robert Vaught. Invariant sets in topology and logic. Fundamenta mathematicae, vol. 82 no. 3 , pp. 269–294 (review)Journal of Symbolic Logic 47 (1): 217218. 1982.

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32George Boolos. To be is to be a value of a variable . The journal of philosophy, vol. 81 , pp. 430–449.  George Boolos. Nominalist Platonism, The philosophical review, vol. 94 , pp. 327–344 (review)Journal of Symbolic Logic 54 (2): 616617. 1989.

25Hailperin Theodore. Sentential probability logic. Origins, development, current status, and technical applications. Lehigh University Press, Bethlehem, Pennsylvania, and Associated University Presses, London, 1996, 304 pp (review)Journal of Symbolic Logic 62 (3): 10401041. 1997.

3Jody Azzouni. Deflating existential consequence: a case for nominalism. Oxford University Press, Oxford, 2004, viii + 342 pp (review)Bulletin of Symbolic Logic 10 (4): 573577. 2004.

36Jonathan Bennett. A philosophical guide to conditionals. Clarendon Press, Oxford, 2003, viii + 388 pp (review)Bulletin of Symbolic Logic 10 (4): 565570. 2004.

78New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin: Oxford: Oxford University Press, 2014, pp. x + 363, £50.00 (review)Australasian Journal of Philosophy 93 (1): 187190. 2015.

3Reading Barth with Charity: A Hermeneutical Proposal by George Hunsinger (review)Interpretation: A Journal of Bible and Theology 71 (2): 221223. 2017.

5Kripke on FunctionalismCritica 48 (144): 318. 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.

107Book Review: The Word of God for the People of God: An Entryway to the Theological Interpretation of ScriptureThe Word of God for the People of God: An Entryway to the Theological Interpretation of Scripture by BillingsJ. ToddEerdmans, Grand Rapids, 2010. 235 pp. $18.00. ISBN 9780802862358 (review)Interpretation: A Journal of Bible and Theology 65 (3): 328329. 2011.

72Book Review: The Ten Commandments: A Preaching CommentaryThe Ten Commandments: A Preaching CommentarybyHolbertJohn C.Abingdon, Nashville, 2002. 143 pp. $18.00. ISBN 0687090482 (review)Interpretation: A Journal of Bible and Theology 57 (4): 452452. 2003.
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