154 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. Computability and Logic.George S. Boolos, John P. Burgess & Richard C. Jeffrey - 2003 - Bulletin of Symbolic Logic 9 (4):520-521.
     
    Export citation  
     
    Bookmark   94 citations  
  3.  48
    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   45 citations  
  4.  54
    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 (...)
  5.  32
    A Subject with No Object.Zoltan Gendler Szabo, John P. Burgess & Gideon Rosen - 1999 - Philosophical Review 108 (1):106.
    This is the first systematic survey of modern nominalistic reconstructions of mathematics, and for this reason alone it should be read by everyone interested in the philosophy of mathematics and, more generally, in questions concerning abstract entities. In the bulk of the book, the authors sketch a common formal framework for nominalistic reconstructions, outline three major strategies such reconstructions can follow, and locate proposals in the literature with respect to these strategies. The discussion is presented with admirable precision and clarity, (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   87 citations  
  6. Fixing Frege.John P. Burgess - 2006 - Tijdschrift Voor Filosofie 68 (3):665-665.
    No categories
    Translate
     
     
    Export citation  
     
    Bookmark   57 citations  
  7. Rigor and Structure.John P. Burgess - 2015 - Oxford University Press UK.
    While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental mathematics (...)
     
    Export citation  
     
    Bookmark   12 citations  
  8.  34
    Truth and the Absence of Fact.John P. Burgess - 2002 - Philosophical Review 111 (4):602-604.
    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 (...)
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   65 citations  
  9. Truth.Alexis G. Burgess & John P. Burgess - 2012 - Bulletin of Symbolic Logic 18 (2):271-272.
     
    Export citation  
     
    Bookmark   28 citations  
  10.  31
    Platonism and Anti-Platonism in Mathematics.John P. Burgess - 2001 - Philosophical Review 110 (1):79.
    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.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   62 citations  
  11.  89
    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   20 citations  
  12.  22
    Abstract Objects.John P. Burgess - 1992 - Philosophical Review 101 (2):414.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   76 citations  
  13.  22
    Frege's Conception of Numbers as Objects. [REVIEW]John P. Burgess - 1984 - Philosophical Review 93 (4):638-640.
  14. 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 (9 more)  
     
    Export citation  
     
    Bookmark   32 citations  
  15. 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 (10 more)  
     
    Export citation  
     
    Bookmark   31 citations  
  16. Computability and Logic.George S. Boolos, John P. Burgess & Richard C. Jeffrey - 2005 - Cambridge University Press.
    Computability and Logic 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, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a (...)
     
    Export citation  
     
    Bookmark   18 citations  
  17.  64
    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.
  18. A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John P. Burgess & Gideon Rosen - 2001 - Studia Logica 67 (1):146-149.
     
    Export citation  
     
    Bookmark   29 citations  
  19. 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 (4 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  20. 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 (8 more)  
     
    Export citation  
     
    Bookmark   45 citations  
  21. 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   47 citations  
  22. 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   6 citations  
  23.  53
    Occam's Razor and Scientific Method.John P. Burgess - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 195--214.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   24 citations  
  24. Philosophical Logic.John P. Burgess - 2010 - Bulletin of Symbolic Logic 16 (3):411-413.
     
    Export citation  
     
    Bookmark   12 citations  
  25. 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   16 citations  
  26. A Subject with No Object. Strategies for Nominalistic Interpretations of Mathematics.John P. Burgess & Gideon Rosen - 1999 - Noûs 33 (3):505-516.
    No categories
     
    Export citation  
     
    Bookmark   24 citations  
  27.  90
    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 (6 more)  
     
    Export citation  
     
    Bookmark   21 citations  
  28.  71
    Quick Completeness Proofs for Some Logics of Conditionals.John P. Burgess - 1981 - Notre Dame Journal of Formal Logic 22 (1):76-84.
  29.  70
    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   18 citations  
  30. 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   14 citations  
  31. Being Explained Away.John P. Burgess - 2005 - The Harvard Review of Philosophy 13 (2):41-56.
    When I first began to take an interest in the debate over nominalism in philosophy of mathematics, some twenty-odd years ago, the issue had already been under discussion for about a half-century. The terms of the debate had been set: W. V. Quine and others had given “abstract,” “nominalism,” “ontology,” and “Platonism” their modern meanings. Nelson Goodman had launched the project of the nominalistic reconstruction of science, or of the mathematics used in science, in which Quine for a time had (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  32. 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   8 citations  
  33. Book Review: Text and Psyche: Experiencing Scripture TodayText and Psyche: Experiencing Scripture Today, byBrownSchuyler. Continuum, New York, 1998. 141pp. $18.95. ISBN 0-8264-1111-8. [REVIEW]John P. Burgess - 1999 - Interpretation: A Journal of Bible and Theology 53 (4):430-431.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  34. Book Review: Reading the Bible with the Dead: What You Can Learn From the History of Exegesis That You Can't Learn From Exegesis AloneReading the Bible with the Dead: What You Can Learn From the History of Exegesis That You Can't Learn From Exegesis AlonebyThompsonJohn L.Eerdmans, Grand Rapids, 2007. 336 Pp. $20.00. ISBN 978-0-8028-0753-3. [REVIEW]John P. Burgess - 2008 - Interpretation: A Journal of Bible and Theology 62 (3):332-332.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  35. Logic and Time.John P. Burgess - 1979 - Journal of Symbolic Logic 44 (4):566-582.
  36. Book 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 978-0-8028-6235-8. [REVIEW]John P. Burgess - 2011 - Interpretation: A Journal of Bible and Theology 65 (3):328-329.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  37. 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   5 citations  
  38.  34
    Jonathan Bennett. A Philosophical Guide to Conditionals. Clarendon Press, Oxford, 2003, Viii + 388 Pp. [REVIEW]John P. Burgess - 2004 - Bulletin of Symbolic Logic 10 (4):565-570.
  39.  14
    Kripke.John P. Burgess - 2012 - Polity.
    Saul Kripke has been a major influence on analytic philosophy and allied fields for a half-century 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 long-awaited collection _Philosophical Troubles_. In this book Kripke’s long-time colleague, the logician and philosopher John P. Burgess, offers a thorough and self-contained guide to (...)
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  40.  64
    New Foundations for Physical Geometry: The Theory of Linear Structures, by Tim Maudlin: Oxford: Oxford University Press, 2014, Pp. X + 363, £50.00. [REVIEW]John P. Burgess - 2015 - Australasian Journal of Philosophy 93 (1):187-190.
  41. The Unreal Future.John P. Burgess - 1978 - Theoria 44 (3):157-179.
    Perhaps if the future existed, concretely and individually, as something that could be discerned by a better brain, the past would not be so seductive: its demands would he balanced by those of the future. Persons might then straddle the middle stretch of the seesaw when considering this or that object. It might be fun. But the future has no such reality (as the pictured past and the perceived present possess); the future is but a figure of speech, a specter (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   19 citations  
  42. Translating Names.John P. Burgess - 2005 - Analysis 65 (3):196-205.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  43.  10
    No Requirement of Relevance.John P. Burgess - 2005 - In Stewart Shapiro (ed.), 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 (2 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  44. Alan Weir. Truth Through Proof: A Formalist Foundation for Mathematics. Oxford: Clarendon Press, 2010. ISBN 978-0-19-954149-2. Pp. Xiv&Plus;281: Critical Studies/Book Reviews. [REVIEW]John P. Burgess - 2011 - Philosophia Mathematica 19 (2):213-219.
    Alan Weir’s new book is, like Darwin’s Origin of Species, ‘one long argument’. The author has devised a new kind of have-it-both-ways philosophy of mathematics, supposed to allow him to say out of one side of his mouth that the integer 1,000,000 exists and even that the cardinal ℵω exists, while saying out of the other side of his mouth that no numbers exist at all, and the whole book is devoted to an exposition and defense of this new view. (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark  
  45.  49
    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 (4 more)  
     
    Export citation  
     
    Bookmark   19 citations  
  46.  72
    Book Review: The Ten Commandments: A Preaching CommentaryThe Ten Commandments: A Preaching CommentarybyHolbertJohn C.Abingdon, Nashville, 2002. 143 Pp. $18.00. ISBN 0-687-09048-2. [REVIEW]John P. Burgess - 2003 - Interpretation: A Journal of Bible and Theology 57 (4):452-452.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  47.  44
    Synthetic Mechanics.John P. Burgess - 1984 - Journal of Philosophical Logic 13 (4):379 - 395.
  48. 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   3 citations  
  49.  36
    George Boolos. The Iterative Conception of Set. The Journal of Philosophy, Vol. 68 , Pp. 215–231. - Dana Scott. Axiomatizing Set Theory. Axiomatic Set Theory, Edited by Thomas J. Jech, Proceedings of Symposia in Pure Mathematics, Vol. 13 Part 2, American Mathematical Society, Providence1974, Pp. 207–214. - W. N. Reinhardt. Remarks on Reflection Principles, Large Cardinals, and Elementary Embeddings. Axiomatic Set Theory, Edited by Thomas J. Jech, Proceedings of Symposia in Pure Mathematics, Vol. 13 Part 2, American Mathematical Society, Providence1974, Pp. 189–205. - W. N. Reinhardt. Set Existence Principles of Shoenfield, Ackermann, and Powell. Fundament a Mathematicae, Vol. 84 , Pp. 5–34. - Hao Wang. Large Sets. Logic, Foundations of Mathematics, and Computahility Theory. Part One of the Proceedings of the Fifth International Congress of Logic, Methodology and Philosophy of Science, London, Ontario, Canada–1975, Edited by Robert E. Butts and Jaakko Hintikka, The University of Western. [REVIEW]John P. Burgess - 1985 - Journal of Symbolic Logic 50 (2):544-547.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  50.  34
    Kevin Scharp, Replacing Truth.John P. Burgess - 2014 - Studia Logica 102 (5):1087-1089.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
1 — 50 / 154