159 found
Order:
See also
John Burgess
Princeton University
  1. A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John P. Burgess & Gideon Rosen - 1997 - Oxford University Press.
    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 obscured previous (...)
  2.  33
    Truth.Alexis G. Burgess & John P. Burgess - 2011 - Princeton University Press.
    This is a concise, advanced introduction to current philosophical debates about truth. A blend of philosophical and technical material, the book is organized around, but not limited to, the tendency known as deflationism, according to which there is not much to say about the nature of truth. In clear language, Burgess and Burgess cover a wide range of issues, including the nature of truth, the status of truth-value gaps, the relationship between truth and meaning, relativism and pluralism about truth, and (...)
    Direct download  
     
    Export citation  
     
    Bookmark   19 citations  
  3.  38
    Fixing Frege.John P. Burgess - 2005 - 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 ...
    Direct download  
     
    Export citation  
     
    Bookmark   31 citations  
  4. Mathematics and Bleak House.John P. Burgess - 2004 - 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.
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   22 citations  
  5.  54
    Book Review: Stewart Shapiro. Philosophy of Mathematics: Structure and Ontology. [REVIEW]John P. Burgess - 1999 - Notre Dame Journal of Formal Logic 40 (2):283-291.
  6.  10
    Frege's Conception of Numbers as Objects.John P. Burgess & Crispin Wright - 1984 - Philosophical Review 93 (4):638.
  7.  67
    Philosophical Logic.John P. Burgess - 2009 - Princeton University Press.
    Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic, focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances the (...)
    Direct download  
     
    Export citation  
     
    Bookmark   7 citations  
  8. E Pluribus Unum: Plural Logic and Set Theory.John P. Burgess - 2004 - 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.
    Direct download (11 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  9. Against Ethics.John P. Burgess - 2007 - 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.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  10.  91
    The Truth is Never Simple.John P. Burgess - 1986 - Journal of Symbolic Logic 51 (3):663-681.
    The complexity of the set of truths of arithmetic is determined for various theories of truth deriving from Kripke and from Gupta and Herzberger.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   30 citations  
  11.  67
    Which Modal Logic Is the Right One?John P. Burgess - 1999 - 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, (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  12. On a Derivation of the Necessity of Identity.John P. Burgess - 2014 - Synthese 191 (7):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.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  13. Truth.Alexis G. Burgess & John P. Burgess - 2012 - Bulletin of Symbolic Logic 18 (2):271-272.
     
    Export citation  
     
    Bookmark   5 citations  
  14.  57
    Quick Completeness Proofs for Some Logics of Conditionals.John P. Burgess - 1981 - Notre Dame Journal of Formal Logic 22 (1):76-84.
  15.  14
    Abstract Objects.John P. Burgess & Bob Hale - 1992 - Philosophical Review 101 (2):414.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  16. Quine, Analyticity and Philosophy of Mathematics.John P. Burgess - 2004 - 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  17.  92
    Why I Am Not a Nominalist.John P. Burgess - 1983 - Notre Dame Journal of Formal Logic 24 (1):93-105.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   17 citations  
  18. Being Explained Away.John P. Burgess - 2005 - The Harvard Review of Philosophy 13 (2):41-56.
  19.  89
    Translating Names.John P. Burgess - 2005 - Analysis 65 (3):196-205.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  20. Computability and Logic.George S. Boolos, John P. Burgess & Richard C. Jeffrey - 2003 - Bulletin of Symbolic Logic 9 (4):520-521.
     
    Export citation  
     
    Bookmark   8 citations  
  21. Putting Structuralism in its Place.John P. Burgess - unknown
    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.
    Translate
     
     
    Export citation  
     
    Bookmark   4 citations  
  22.  86
    Logic and Time.John P. Burgess - 1979 - Journal of Symbolic Logic 44 (4):566-582.
  23.  87
    The Unreal Future.John P. Burgess - 1978 - Theoria 44 (3):157-179.
  24.  56
    Quinus ab Omni Nævo Vindicatus.John P. Burgess - 1997 - Canadian Journal of Philosophy 27 (sup1):25-65.
    No categories
    Direct download (3 more)  
    Translate
     
     
    Export citation  
     
    Bookmark   4 citations  
  25.  32
    Decidability for Branching Time.John P. Burgess - 1980 - Studia Logica 39 (2-3):203-218.
    The species of indeterminist tense logic called Peircean by A. N. Prior is proved to be recursively decidable.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   15 citations  
  26. Fixing Frege.John P. Burgess - 2006 - Tijdschrift Voor Filosofie 68 (3):665-665.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark   5 citations  
  27.  4
    No Requirement of Relevance.John P. Burgess - 2005 - In Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 727--750.
    There are schools of logicians who claim that an argument is not valid unless the conclusion is relevant to the premises. In particular, relevance logicians reject the classical theses that anything follows from a contradiction and that a logical truth follows from everything. This chapter critically evaluates several different motivations for relevance logic, and several systems of relevance logic, finding them all wanting.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  28.  12
    A Subject with No Object.Zoltan Gendler Szabo, John P. Burgess & Gideon Rosen - 1999 - Philosophical Review 108 (1):106.
  29.  22
    A Remark on Henkin Sentences and Their Contraries.John P. Burgess - 2003 - 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.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  30.  88
    Quinus Ab Omni Naevo Vindicatus.John P. Burgess - 1998 - In Ali A. Kazmi (ed.), Meaning and Reference. University of Calgary Press. pp. 25--66.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  31.  36
    Synthetic Mechanics.John P. Burgess - 1984 - Journal of Philosophical Logic 13 (4):379 - 395.
  32. Saul Kripke: Puzzles and Mysteries.John P. Burgess - 2013 - Polity.
    No categories
     
    Export citation  
     
    Bookmark   1 citation  
  33.  29
    Kevin Scharp, Replacing Truth.John P. Burgess - 2014 - Studia Logica 102 (5):1087-1089.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  34.  28
    Deflating Existential Consequence: A Case for Nominalism.John P. Burgess - 2004 - Bulletin of Symbolic Logic 10 (4):573-577.
  35.  29
    Relevance: A Fallacy?John P. Burgess - 1981 - Notre Dame Journal of Formal Logic 22 (2):97-104.
  36.  13
    On a Consistent Subsystem of Frege's Grundgesetze.John P. Burgess - 1998 - 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.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  37. Book Review: Text and Psyche: Experiencing Scripture Today. [REVIEW]John P. Burgess - 1999 - Interpretation: A Journal of Bible and Theology 53 (4):430-431.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  38.  55
    Dummett's Case for Intuitionism.John P. Burgess - 1984 - History and Philosophy of Logic 5 (2):177-194.
    Dummett's case against platonism rests on arguments concerning the acquisition and manifestation of knowledge of meaning. Dummett's arguments are here criticized from a viewpoint less Davidsonian than Chomskian. Dummett's case against formalism is obscure because in its prescriptive considerations are not clearly separated from descriptive. Dummett's implicit value judgments are here made explicit and questioned. ?Combat Revisionism!? Chairman Mao.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  39.  16
    Axioms for Tense Logic. I. ``Since'' and ``Until''.John P. Burgess - 1982 - Notre Dame Journal of Formal Logic 23 (4):367-374.
  40.  9
    Is There a Problem About the Deflationary Theory of Truth?John P. Burgess - 2003 - In Leon Horsten & Volker Halbach (eds.), Principles of Truth. De Gruyter. pp. 37-56.
  41. 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]John P. Burgess - 2008 - Interpretation: A Journal of Bible and Theology 62 (3):332-332.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  42. Which Modal Models Are the Right Ones (for Logical Necessity)?John P. Burgess - 2003 - 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 (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark  
  43. Book Review: The Word of God for the People of God: An Entryway to the Theological Interpretation of Scripture. [REVIEW]John P. Burgess - 2011 - Interpretation: A Journal of Bible and Theology 65 (3):328-329.
     
    Export citation  
     
    Bookmark  
  44.  21
    A Philosophical Guide to Conditionals.John P. Burgess - 2004 - Bulletin of Symbolic Logic 10 (4):565-570.
  45.  17
    The Decision Problem for Linear Temporal Logic.John P. Burgess & Yuri Gurevich - 1985 - Notre Dame Journal of Formal Logic 26 (2):115-128.
  46.  15
    Predicative Logic and Formal Arithmetic.John P. Burgess & A. P. Hazen - 1998 - Notre Dame Journal of Formal Logic 39 (1):1-17.
    After a summary of earlier work it is shown that elementary or Kalmar arithmetic can be interpreted within the system of Russell's Principia Mathematica with the axiom of infinity but without the axiom of reducibility.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  47. Mathematics, Models, and Modality: Selected Philosophical Essays.John P. Burgess - 2008 - Cambridge University Press.
    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 of interest to a wide range of readers across philosophy (...)
     
    Export citation  
     
    Bookmark   1 citation  
  48.  39
    Discussion—Soames on Empiricism.John P. Burgess - 2006 - 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  49. The Development of Modern Logic.John P. Burgess - 2011 - History and Philosophy of Logic 32 (2):187 - 191.
    History and Philosophy of Logic, Volume 32, Issue 2, Page 187-191, May 2011.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  50.  37
    Probability Logic.John P. Burgess - 1969 - Journal of Symbolic Logic 34 (2):264-274.
1 — 50 / 159