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Profile: John Burgess (Princeton University)
  1. John Burgess, Logicism: A New Look.
    Adapated from talks at the UCLA Logic Center and the Pitt Philosophy of Science Series. Exposition of material from Fixing Frege, Chapter 2 (on predicative versions of Frege’s system) and from “Protocol Sentences for Lite Logicism” (on a form of mathematical instrumentalism), suggesting a connection. Provisional version: references remain to be added. To appear in Mathematics, Modality, and Models: Selected Philosophical Papers, coming from Cambridge University Press.
     
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  2. John Burgess, Mending the Master.
    Fixing Frege is one of the most important investigations to date of Fregean approaches to the foundations of mathematics. In addition to providing an unrivalled survey of the technical program to which Frege’s writings have given rise, the book makes a large number of improvements and clarifications. Anyone with an interest in the philosophy of mathematics will enjoy and benefit from the careful and well informed overview provided by the first of its three chapters. Specialists will find the book an (...)
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  3. John P. Burgess (unknown). . New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin:1-3.
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  4. John Burgess, Review of Charles Parsons: Mathematical Thought and its Objects. [REVIEW]
    This long-awaited volume is a must-read for anyone with a serious interest in\nphilosophy of mathematics. The book falls into two parts, with the primary focus of\nthe first on ontology and structuralism, and the second on intuition and\nepistemology, though with many links between them. The style throughout involves\nunhurried examination from several points of view of each issue addressed, before\nreaching a guarded conclusion. A wealth of material is set before the reader along\nthe way, but a reviewer wishing to summarize the author’s views (...)
     
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  5. John Burgess, Tarski's Tort.
    A revision of a sermon on the evils of calling model theory “semantics”, preached at Notre Dame on Saint Patrick’s Day, 2005. Provisional version: references remain to be added. To appear in Mathematics, Modality, and Models: Selected Philosophical Papers, coming from Cambridge University Press.
     
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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. John P. Burgess (forthcoming). Book Review: The Ten Commandments: A Preaching Commentary. [REVIEW] Interpretation 57 (4):452-452.
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  12. 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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  13. John P. Burgess (forthcoming). Book Review: Text and Psyche: Experiencing Scripture Today. [REVIEW] Interpretation 53 (4):430-431.
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  14. John P. Burgess (2015). Modal Logic in the Modal Sense of Modality. [REVIEW] In Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. De Gruyter 51-72.
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  15. John P. Burgess (2015). Rigor and Structure. OUP Oxford.
    John P. Burgess presents an illuminating study of the nature of mathematical rigor and of mathematical structure, and above all of the relation between them. He considers recent developments in the field including experimental mathematics and computerized formal proofs, and surveys many historical developments in mathematics, philosophy, and logic.
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  16. John P. Burgess (2014). Kevin Scharp, Replacing Truth. Studia Logica 102 (5):1087-1089.
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  17. John P. Burgess (2014). New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin. Australasian Journal of Philosophy 93 (1):187-190.
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  18. John P. Burgess (2014). Philosophy of Mathematics in the Twentieth Century: Selected Essays. History and Philosophy of Logic 36 (1):93-95.
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  19. John P. Burgess & Alexis G. Burgess (2014). Bibliography. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 143-152.
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  20. John P. Burgess & Alexis G. Burgess (2014). Contents. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press
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  21. John P. Burgess & Alexis G. Burgess (2014). Chapter Eight. Insolubility? In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 116-134.
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  22. John P. Burgess & Alexis G. Burgess (2014). Chapter Four. Indeterminacy. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 52-67.
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  23. John P. Burgess & Alexis G. Burgess (2014). Chapter Five. Realism. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 68-82.
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  24. John P. Burgess & Alexis G. Burgess (2014). Chapter One. Introduction. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 1-15.
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  25. John P. Burgess & Alexis G. Burgess (2014). Chapter Six. Antirealism. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 83-101.
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  26. John P. Burgess & Alexis G. Burgess (2014). Chapter Seven. Kripke. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 102-115.
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  27. John P. Burgess & Alexis G. Burgess (2014). Chapter Three. Deflationism. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 33-51.
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  28. John P. Burgess & Alexis G. Burgess (2014). Chapter Two. Tarski. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 16-32.
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  29. John P. Burgess & Alexis G. Burgess (2014). Further Reading. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press 135-142.
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  30. John P. Burgess & Alexis G. Burgess (2014). Preface. In John P. Burgess & Alexis G. Burgess (eds.), Truth. Princeton University Press
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  31. John Burgess (2013). Reflections on" Wang's Paradox". Teorema: International Journal of Philosophy 32 (1):125-139.
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  32. John P. Burgess (2013). Kripke. Polity.
    In this book Kripke’s long-time colleague, the logician and philosopher John P. Burgess, offers a thorough and self-contained guide to all of Kripke’s published books and his most important philosophical papers, old and new.
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  33. 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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  34. John P. Burgess (2013). Quinus Ab Omni Nævo Vindicatus. Canadian Journal of Philosophy 27 (sup1):25-65.
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  35. John P. Burgess (2013). Saul Kripke: Puzzles and Mysteries. Polity.
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  36. John P. Burgess (2012). Frege’s Theorem by Richard G. Heck, Jr. Journal of Philosophy 109 (12):728-732.
  37. John P. Burgess (2012). Richard G. Heck, Jr.: Frege’s Theorem. [REVIEW] Journal of Philosophy 109 (12):728-733.
  38. Alexis G. Burgess & John P. Burgess (2011). Truth. Princeton University Press.
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  39. 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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  40. 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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  41. John Burgess (2010). Could a Zygote Be a Human Being? Bioethics 24 (2):61-70.
    This paper re-examines the question of whether quirks of early human foetal development tell against the view (conceptionism) that we are human beings at conception. A zygote is capable of splitting to give rise to identical twins. Since the zygote cannot be identical with either human being it will become, it cannot already be a human being. Parallel concerns can be raised about chimeras in which two embryos fuse. I argue first that there are just two ways of dealing with (...)
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  42. John Burgess (2010). On the Outside Looking in : A Caution About Conservativeness. In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic
    My contribution to the symposium on Goedel’s philosophy of mathematics at the spring 2006 Association for Symbolic Logic meeting in Montreal. Provisional version: references remain to be added. To appear in an ASL volume of proceedings of the Goedel sessions at that meeting.
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  43. 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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  44. John P. Burgess (2010). Review of B. Hale and A. Hoffmann (Eds.), Modality: Metaphysics, Logic, and Epistemology. [REVIEW] Notre Dame Philosophical Reviews 2010 (10).
  45. John P. Burgess (2009). Acknowledgments. In Philosophical Logic. Princeton University Press
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  46. John P. Burgess (2009). Chapter Four. Conditional Logic. In Philosophical Logic. Princeton University Press 71-98.
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  47. John P. Burgess (2009). Chapter Five. Relevantistic Logic. In Philosophical Logic. Princeton University Press 99-120.
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  48. John P. Burgess (2009). Chapter One. Classical Logic. In Philosophical Logic. Princeton University Press 1-12.
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  49. John P. Burgess (2009). Chapter Six. Intuitionistic Logic. In Philosophical Logic. Princeton University Press 121-142.
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  50. John P. Burgess (2009). Chapter Three. Modal Logic. In Philosophical Logic. Princeton University Press 40-70.
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