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Profile: John Burgess (Princeton University)
  1. John P. Burgess (unknown). . New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin:1-3.
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  2. John P. Burgess, Friedman and the Axiomatization of Kripke's Theory of Truth.
    What is the simplest and most natural axiomatic replacement for the set-theoretic definition of the minimal fixed point on the Kleene scheme in Kripke’s theory of truth? What is the simplest and most natural set of axioms and rules for truth whose adoption by a subject who had never heard the word "true" before would give that subject an understanding of truth for which the minimal fixed point on the Kleene scheme would be a good model? Several axiomatic systems, old (...)
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  3. John P. Burgess, Putting Structuralism in its Place.
    One textbook may introduce the real numbers in Cantor’s way, and another in Dedekind’s, and the mathematical community as a whole will be completely indifferent to the choice between the two. This sort of phenomenon was famously called to the attention of philosophers by Paul Benacerraf. It will be argued that structuralism in philosophy of mathematics is a mistake, a generalization of Benacerraf’s observation in the wrong direction, resulting from philosophers’ preoccupation with ontology.
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  4. John P. Burgess, Reviewed By.
    In 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 and what is today taken, (...)
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  5. John P. Burgess, Two Undecidable Questions About Group Actions.
    It is shown that for invariance under the action of special groups the statements "Every invariant PCA is decomposable into (1 invariant Borel sets" and "Every pair of invariant PCA is reducible by a pair of invariant PCA sets" are independent of the axioms of set theory.
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  6. John P. Burgess (forthcoming). Book Review: Reading the Bible with the Dead: What You Can Learn From the History of Exegesis That You Can't Learn From Exegesis Alone. [REVIEW] Interpretation 62 (3):332-332.
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  7. John P. Burgess (forthcoming). Book Review: The Ten Commandments: A Preaching Commentary. [REVIEW] Interpretation 57 (4):452-452.
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  8. John P. Burgess (forthcoming). Book Review: The Word of God for the People of God: An Entryway to the Theological Interpretation of Scripture. [REVIEW] Interpretation 65 (3):328-329.
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  9. John P. Burgess (forthcoming). Book Review: Text and Psyche: Experiencing Scripture Today. [REVIEW] Interpretation 53 (4):430-431.
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  10. John P. Burgess (forthcoming). Philosophy of Mathematics in the Twentieth Century: Selected Essays. History and Philosophy of Logic:1-2.
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  11. John P. Burgess (2014). Kevin Scharp, Replacing Truth. Studia Logica 102 (5):1087-1089.
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  12. John P. Burgess (2014). New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin. :1-3.
    New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin. . ???aop.label???. doi: 10.1080/00048402.2014.955037.
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  13. John P. Burgess (2013). Kripke. Polity.
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  14. John P. Burgess (2013). On a Derivation of the Necessity of Identity. Synthese:1-19.
    The source, status, and significance of the derivation of the necessity of identity at the beginning of Kripke’s lecture “Identity and Necessity” is discussed from a logical, philosophical, and historical point of view.
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  15. John P. Burgess (2013). Quinus Ab Omni Nævo Vindicatus. Canadian Journal of Philosophy 27 (sup1):25-65.
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  16. John P. Burgess (2013). Saul Kripke: Puzzles and Mysteries. Polity.
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  17. John P. Burgess (2012). Richard G. Heck, Jr.: Frege’s Theorem. [REVIEW] Journal of Philosophy 109 (12):728-733.
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  18. Alexis G. Burgess & John P. Burgess (2011). Truth. Princeton University Press.
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  19. John P. Burgess (2011). Kripke Models. In Alan Berger (ed.), Saul Kripke. Cambridge University Press.
    Saul Kripke has made fundamental contributions to a variety of areas of logic, and his name is attached to a corresponding variety of objects and results. 1 For philosophers, by far the most important examples are ‘Kripke models’, which have been adopted as the standard type of models for modal and related non-classical logics. What follows is an elementary introduction to Kripke’s contributions in this area, intended to prepare the reader to tackle more formal treatments elsewhere.2 2. WHAT IS A (...)
     
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  20. John P. Burgess (2011). The Development of Modern Logic. History and Philosophy of Logic 32 (2):187 - 191.
    History and Philosophy of Logic, Volume 32, Issue 2, Page 187-191, May 2011.
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  21. John P. Burgess (2010). Axiomatizing the Logic of Comparative Probability. Notre Dame Journal of Formal Logic 51 (1):119-126.
    1 Choice conjecture In axiomatizing nonclassical extensions of classical sentential logic one tries to make do, if one can, with adding to classical sentential logic a finite number of axiom schemes of the simplest kind and a finite number of inference rules of the simplest kind. The simplest kind of axiom scheme in effect states of a particular formula P that for any substitution of formulas for atoms the result of its application to P is to count (...)
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  22. John P. Burgess (2010). Review of B. Hale and A. Hoffmann (Eds.), Modality: Metaphysics, Logic, and Epistemology. [REVIEW] Notre Dame Philosophical Reviews 2010 (10).
  23. John P. Burgess (2009). Philosophical Logic. Princeton University Press.
    Classical logic -- Temporal logic -- Modal logic -- Conditional logic -- Relevantistic logic -- Intuitionistic logic.
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  24. John P. Burgess (2009). Review of Paul A. Gregory, Quine's Naturalism: Language, Theory, and the Knowing Subject. [REVIEW] Notre Dame Philosophical Reviews 2009 (5).
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  25. John P. Burgess (2008). 3. Cats, Dogs, and so On. In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. 4--56.
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  26. John P. Burgess (2008). Charles Parsons. Mathematical Thought and its Objects. Philosophia Mathematica 16 (3):402-409.
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  27. John P. Burgess (2008). Thomas McKay. Plural Predication. Philosophia Mathematica 16 (1):133-140.
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  28. John P. Burgess (2007). Against Ethics. Ethical Theory and Moral Practice 10 (5):427 - 439.
    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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  29. John P. Burgess (2007). Charles Parsons:Mathematics in Philosophy: Selected Essays,:Mathematics in Philosophy: Selected Essays. Philosophy of Science 74 (4):549-552.
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  30. John P. Burgess (2006). Discussion: Soames on Empiricism. [REVIEW] Philosophical Studies 129 (3):619 - 626.
    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 marking decisive turning points. Yet (...)
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  31. John P. Burgess (2006). Review: Discussion: Soames on Empiricism. [REVIEW] Philosophical Studies 129 (3):619 - 626.
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  32. John P. Burgess (2005). Being Explained Away. The Harvard Review of Philosophy 13 (2):41-56.
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  33. John P. Burgess (2005). Charles S. Chihara. A Structural Account of Mathematics. Oxford: Oxford University Press, 2004. Pp. XIV + 380. ISBN 0-19-926753-. [REVIEW] Philosophia Mathematica 13 (1):78-90.
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  34. John P. Burgess (2005). Fixing Frege. Princeton University Press.
    This book surveys the assortment of methods put forth for fixing Frege's system, in an attempt to determine just how much of mathematics can be reconstructed in ...
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  35. John P. Burgess (2005). No Requirement of Relevance. In Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. 727--750.
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  36. John P. Burgess (2005). Translating Names. Analysis 65 (287):196–205.
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  37. John P. Burgess (2004). A Philosophical Guide to Conditionals. Bulletin of Symbolic Logic 10 (4):565-570.
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  38. John P. Burgess (2004). Deflating Existential Consequence: A Case for Nominalism. Bulletin of Symbolic Logic 10 (4):573-577.
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  39. John P. Burgess (2004). E Pluribus Unum: Plural Logic and Set Theory. Philosophia Mathematica 12 (3):193-221.
    A new axiomatization of set theory, to be called Bernays-Boolos set theory, is introduced. Its background logic is the plural logic of Boolos, and its only positive set-theoretic existence axiom is a reflection principle of Bernays. It is a very simple system of axioms sufficient to obtain the usual axioms of ZFC, plus some large cardinals, and to reduce every question of plural logic to a question of set theory.
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  40. John P. Burgess (2004). Mathematics and Bleak House. Philosophia Mathematica 12 (1):18-36.
    The form of nominalism known as 'mathematical fictionalism' is examined and found wanting, mainly on grounds that go back to an early antinominalist work of Rudolf Carnap that has unfortunately not been paid sufficient attention by more recent writers.
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  41. John P. Burgess (2004). Quine, Analyticity and Philosophy of Mathematics. Philosophical Quarterly 54 (214):38–55.
    Quine correctly argues that Carnap's distinction between internal and external questions rests on a distinction between analytic and synthetic, which Quine rejects. I argue that Quine needs something like Carnap's distinction to enable him to explain the obviousness of elementary mathematics, while at the same time continuing to maintain as he does that the ultimate ground for holding mathematics to be a body of truths lies in the contribution that mathematics makes to our overall scientific theory of the world. Quine's (...)
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  42. John P. Burgess (2003). Review: The Limits of Abstraction by Kit Fine. [REVIEW] Notre Dame Journal Fo Formal Logic 44:227-251.
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  43. John P. Burgess (2003). Which Modal Models Are the Right Ones (for Logical Necessity)? Theoria 18 (2):145-158.
    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 of (...)
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  44. John P. Burgess (2003). A Remark on Henkin Sentences and Their Contraries. Notre Dame Journal of Formal Logic 44 (3):185-188.
    That the result of flipping quantifiers and negating what comes after, applied to branching-quantifier sentences, is not equivalent to the negation of the original has been known for as long as such sentences have been studied. It is here pointed out that this syntactic operation fails in the strongest possible sense to correspond to any operation on classes of models.
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  45. John P. Burgess (2003). Book Review: Kit Fine. The Limits of Abstraction. [REVIEW] Notre Dame Journal of Formal Logic 44 (4):227-251.
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  46. John P. Burgess (2000). Critical Studies / Book Reviews. Philosophia Mathematica 8 (1):84-91.
  47. John P. Burgess (1999). Book Review: Stewart Shapiro. Philosophy of Mathematics: Structure and Ontology. [REVIEW] Notre Dame Journal of Formal Logic 40 (2):283-291.
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  48. John P. Burgess (1999). Which Modal Logic Is the Right One? Notre Dame Journal of Formal Logic 40 (1):81-93.
    The question, "Which modal logic is the right one for logical necessity?," divides into two questions, one about model-theoretic validity, the other about proof-theoretic demonstrability. The arguments of Halldén and others that the right validity argument is S5, and the right demonstrability logic includes S4, are reviewed, and certain common objections are argued to be fallacious. A new argument, based on work of Supecki and Bryll, is presented for the claim that the right demonstrability logic must be contained in S5, (...)
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  49. John P. Burgess (1998). Quinus Ab Omni Naevo Vindicatus. In Ali A. Kazmi (ed.), Meaning and Reference. University of Calgary Press. 25--66.
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  50. John P. Burgess (1998). On a Consistent Subsystem of Frege's Grundgesetze. Notre Dame Journal of Formal Logic 39 (2):274-278.
    Parsons has given a (nonconstructive) proof that the first-order fragment of the system of Frege's Grundgesetze is consistent. Here a constructive proof of the same result is presented.
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