Results for 'John Burgess'

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  1.  51
    Luca Incurvati* Conceptions of Set and the Foundations of Mathematics.Burgess John - 2020 - Philosophia Mathematica 28 (3):395-403.
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  2. Part or parcel? Contextual binding of events in episodic memory.Iris Trinkler, John King, Hugo Spiers & Burgess & Neil - 2006 - In Hubert D. Zimmer, Axel Mecklinger & Ulman Lindenberger (eds.), Handbook of Binding and Memory: Perspectives From Cognitive Neuroscience. Oxford University Press.
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  3.  10
    Fixing Frege.John P. Burgess - 2005 - Princeton University Press.
    The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract mathematics. Over the past couple of decades, however, logicians and philosophers have discovered that much more is salvageable from the rubble of Frege's system than had previously been assumed. A variety of repaired systems have been (...)
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  4. Putnam on Foundations: Models, Modals, Muddles.John Burgess - 2018 - In Hilary Putnam on Logic and Mathematics. Cham: Springer Verlag.
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  5. Set Theory.John P. Burgess - 2022 - Cambridge University Press.
    Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and (...)
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  6. 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 (...)
     
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  7. 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 (...)
  8. A subject with no object: strategies for nominalistic interpretation of mathematics.John P. Burgess & Gideon Rosen - 1997 - New York: Oxford University Press. Edited by Gideon A. Rosen.
    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 (...)
  9. Referees for Ethics, Place and Environment, Volume 1, 1998.John Agnew, Ash Amin, Jacqui Burgess, Robert Chambers, Graham Chapman, Denis Cosgrove, Gouranga Dasvarma, Klaus Dodds, Sally Eden & Nick Entrikin - 1998 - Ethics, Place and Environment 1 (2):269.
     
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  10. What is Mathematical Rigor?John Burgess & Silvia De Toffoli - 2022 - Aphex 25:1-17.
    Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.
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  11.  74
    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 ...
  12. Philosophical Logic.John P. Burgess - 2009 - Princeton, NJ, USA: 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 (...)
  13. Quick completeness proofs for some logics of conditionals.John P. Burgess - 1981 - Notre Dame Journal of Formal Logic 22 (1):76-84.
  14.  23
    From Mathematics to Philosophy.John P. Burgess - 1977 - Journal of Symbolic Logic 42 (4):579-580.
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  15. Nominalism Reconsidered.John P. Burgess & Gideon Rosen - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
    Nominalism is the view that mathematical objects do not exist. This chapter delimits several types of nominalistic projects: revolutionary programs that attempt to change mathematics and hermeneutic programs that attempt to interpret mathematics. Some programs accord with naturalism, and some oppose naturalism. Steven Yablo’s fictionalism is brought into the fold and discussed at some length.
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  16. Hikaku kenpōron.John William Burgess - 1908
     
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  17. Why I am not a nominalist.John P. Burgess - 1983 - Notre Dame Journal of Formal Logic 24 (1):93-105.
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  18. 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.
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  19.  39
    Rigor and Structure.John P. Burgess - 2015 - Oxford, England: 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 (...)
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  20. 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.
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  21.  71
    Relevance: a fallacy?John P. Burgess - 1981 - Notre Dame Journal of Formal Logic 22 (2):97-104.
  22. 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, (...)
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  23.  84
    Quinus ab Omni Nævo Vindicatus.John P. Burgess - 1997 - Canadian Journal of Philosophy 27 (sup1):25-65.
    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 (...)
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  24. Logic and time.John P. Burgess - 1979 - Journal of Symbolic Logic 44 (4):566-582.
  25. A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John Burgess & Gideon Rosen - 1997 - Philosophical Quarterly 50 (198):124-126.
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  26. Occam's razor and scientific method.John P. Burgess - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today: Papers From a Conference Held in Munich From June 28 to July 4,1993. Oxford, England: Clarendon Press. pp. 195--214.
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  27.  34
    Axioms for tense logic. I. "Since" and "until".John P. Burgess - 1982 - Notre Dame Journal of Formal Logic 23 (4):367-374.
  28.  78
    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.
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  29.  42
    Abstract Objects.John P. Burgess - 1992 - Philosophical Review 101 (2):414.
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  30.  26
    Lewis on Mereology and Set Theory.John P. Burgess - 2015 - In Barry Loewer & Jonathan Schaffer (eds.), A companion to David Lewis. Chichester, West Sussex ;: Wiley-Blackwell. pp. 459–469.
    David Lewis in the short monograph Parts of Classes (PC) undertakes a fundamental re‐examination of the relationship between mereology, the general theory of parts, and set theory, the general theory of collections. Given Lewis's theses, to be an element of a set or member of class is just to have a singleton that is a part thereof. Lewis in PC adds a claim of kind of ontological innocence, comparable to that of first‐order logic, for mereology. The only substantive assumption of (...)
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  31.  35
    Computability and Logic.George S. Boolos, John P. Burgess & Richard C. Jeffrey - 1974 - Cambridge, England: Cambridge University Press. Edited by John P. Burgess & Richard C. Jeffrey.
    This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book 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 (...)
  32.  31
    Common sense and "relevance".John P. Burgess - 1983 - Notre Dame Journal of Formal Logic 24 (1):41-53.
  33.  51
    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.
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  34. A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John P. Burgess & Gideon Rosen - 2001 - Studia Logica 67 (1):146-149.
     
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  35.  63
    Measurable Selections: A Bridge Between Large Cardinals and Scientific Applications?†.John P. Burgess - 2021 - Philosophia Mathematica 29 (3):353-365.
    There is no prospect of discovering measurable cardinals by radio astronomy, but this does not mean that higher set theory is entirely irrelevant to applied mathematics broadly construed. By way of example, the bearing of some celebrated descriptive-set-theoretic consequences of large cardinals on measurable-selection theory, a body of results originating with a key lemma in von Neumann’s work on the mathematical foundations of quantum theory, and further developed in connection with problems of mathematical economics, will be considered from a philosophical (...)
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  36.  7
    Hilary Putnam on Logic and Mathematics.John Burgess (ed.) - 2018 - Cham: Springer Verlag.
    This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam's work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short (...)
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  37.  36
    The decision problem for linear temporal logic.John P. Burgess & Yuri Gurevich - 1985 - Notre Dame Journal of Formal Logic 26 (2):115-128.
  38.  46
    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.
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  39.  38
    No requirement of relevance.John P. Burgess - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: 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.
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  40. Cats, Dogs, and So On.John P. Burgess - 2008 - In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press UK.
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  41.  14
    Does Improving Geographic Access to VA Primary Care Services Impact Patients' Patterns of Utilization and Costs?John C. Fortney, Matthew L. Maciejewski, James J. Warren & James F. Burgess - 2005 - Inquiry: The Journal of Health Care Organization, Provision, and Financing 42 (1):29-42.
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  42. Cats, Dogs, and So On.John P. Burgess - 2008 - Oxford Studies in Metaphysics 4:56-78.
     
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  43. 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.
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  44. Reconciling Anti-Nominalism and Anti-Platonism in Philosophy of Mathematics.John P. Burgess - 2022 - Disputatio 11 (20).
    The author reviews and summarizes, in as jargon-free way as he is capable of, the form of anti-platonist anti-nominalism he has previously developed in works since the 1980s, and considers what additions and amendments are called for in the light of such recently much-discussed views on the existence and nature of mathematical objects as those known as hyperintensional metaphysics, natural language ontology, and mathematical structuralism.
     
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  45. A Subject with No Object. Strategies for Nominalistic Interpretations of Mathematics.John P. Burgess & Gideon Rosen - 1999 - Noûs 33 (3):505-516.
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  46. Memory for events and their spatial context: models and experiments.Neil Burgess, Suzanna Becker, John A. King & John O'Keefe - 2002 - In Alan Baddeley, John Aggleton & Martin Conway (eds.), Episodic Memory: New Directions in Research : Originating from a Discussion Meeting of the Royal Society. Oxford University Press.
     
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  47.  37
    When did you first begin to feel it?John A. Burgess & S. A. Tawia - 1996 - Locating the Beginnings of Human Consciousness? Bioethics 10 (1):1-26.
    In this paper we attempt to sharpen and to provide an answer to the question of when human beings first become conscious. Since it is relatively uncontentious that a capacity for raw sensation precedes and underpins all more sophisticated mental capacities, our question is tantamount to asking when human beings first have experiences with sensational content. Two interconnected features of our argument are crucial. First, we argue that experiences with sensational content are supervenient on facts about electrical activity in the (...)
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  48.  1
    Ciencia política y derecho constitucional comparado.John William Burgess - 1904 - Madrid,: La España moderna.
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  49. Logic, Mathematics, Science. Quine's Philosophy of Logic and Mathematics.John P. Burgess - 2013 - In Gilbert Harman & Ernest LePore (eds.), A Companion to W. V. O. Quine. Hoboken, New Jersey: Wiley-Blackwell.
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  50. Kripke on modality.John Burgess - 2018 - In Otávio Bueno & Scott A. Shalkowski (eds.), The Routledge Handbook of Modality. New York: Routledge.
     
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