•  41
    Beyond tense logic (review)
    Journal of Philosophical Logic 13 (3): 235-248. 1984.
  •  117
    Quinus ab Omni Nævo Vindicatus
    Canadian Journal of Philosophy 27 (sup1): 25-65. 1997.
    Today there appears to be a widespread impression that W. V. Quine's notorious critique of modal logic, based on certain ideas about reference, has been successfully answered. As one writer put it some years ago: “His objections have been dead for a while, even though they have not yet been completely buried.” What is supposed to have killed off the critique? Some would cite the development of a new ‘possible-worlds’ model theory for modal logics in the 1960s; others, the development of new ‘dir…Read more
  •  89
    Dummett's case for intuitionism
    History and Philosophy of Logic 5 (2): 177-194. 1984.
    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
  •  18
    On the Hanf number of souslin logic
    Journal of Symbolic Logic 43 (3): 568-571. 1978.
    We show it is consistent with ZFC that the Hanf number of Ellentuck's Souslin logic should be exactly $\beth_{\omega_2}$
  •  138
    Logic and time
    Journal of Symbolic Logic 44 (4): 566-582. 1979.
  •  124
    The Development of Modern Logic
    History and Philosophy of Logic 32 (2). 2011.
    History and Philosophy of Logic, Volume 32, Issue 2, Page 187-191, May 2011
  •  67
    Fixing Frege
    Princeton University Press. 2005.
    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 ...
  •  28
    Rigor and Structure
    Oxford University Press UK. 2015.
    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 …Read more
  •  9
    Chapter Six. Intuitionistic Logic
    In J. W. Davis (ed.), Philosophical logic, D. Reidel. pp. 121-142. 1969.
  •  10
    Review: Discussion: Soames on Empiricism (review)
    Philosophical Studies 129 (3). 2006.
  •  18
    Read on relevance: a rejoinder
    Notre Dame Journal of Formal Logic 25 (3): 217-223. 1984.
  •  392
    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 obsc…Read more
  •  29
    Philosophy of Mathematics in the Twentieth Century: Selected Essays
    History and Philosophy of Logic 36 (1): 93-95. 2015.
    The second volume of Charles Parsons’ selected papers, dedicated to Solomon Feferman, Wilfred Sieg, and William Tait, collects eleven mainly historical essays and reviews on philosophy and philosop...
  • 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 o…Read more
  •  26
    Axioms for tense logic. II. Time periods
    Notre Dame Journal of Formal Logic 23 (4): 375-383. 1982.
  • Index
    In J. W. Davis (ed.), Philosophical logic, D. Reidel. pp. 149-153. 1969.
  •  62
    Synthetic mechanics
    Journal of Philosophical Logic 13 (4). 1984.
  •  72
    Discussion—Soames on Empiricism
    Philosophical Studies 129 (3): 619-626. 2006.
    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 marki…Read more
  •  29
    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 …Read more
  •  279
    Mathematics and bleak house
    Philosophia Mathematica 12 (1): 18-36. 2004.
    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
  •  60
    Thomas McKay. Plural predication
    Philosophia Mathematica 16 (1): 133-140. 2008.
    This work, the first book-length study of its topic, is an important contribution to the literature of philosophical logic and philosophy of language, with implications for other branches of philosophy, including philosophy of mathematics. However, five of the book's ten chapters , including many of the author's most original contributions, are devoted to issues about natural language, and lie pretty well outside the scope of this journal, not to mention that of the reviewer's competence. For th…Read more
  •  11
    Chapter Three. Modal Logic
    In J. W. Davis (ed.), Philosophical logic, D. Reidel. pp. 40-70. 1969.