Results for 'Corfield David'

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  1.  70
    Towards a Philosophy of Real Mathematics.David Corfield - 2003 - Cambridge University Press.
    In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures (...)
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  2.  8
    Towards a Philosophy of Real Mathematics.David Corfield - 2003 - Studia Logica 81 (2):285-289.
    In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically, and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of new ways to think philosophically about mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing (...)
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  3.  55
    Duality as a Category-Theoretic Concept.David Corfield - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:55-61.
    In a paper published in 1939, Ernest Nagel described the role that projective duality had played in the reformulation of mathematical understanding through the turn of the nineteenth century, claiming that the discovery of the principle of duality had freed mathematicians from the belief that their task was to describe intuitive elements. While instances of duality in mathematics have increased enormously through the twentieth century, philosophers since Nagel have paid little attention to the phenomenon. In this paper I will argue (...)
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  4.  39
    Expressing ‘the Structure of’ in Homotopy Type Theory.David Corfield - 2020 - Synthese 197 (2):681-700.
    As a new foundational language for mathematics with its very different idea as to the status of logic, we should expect homotopy type theory to shed new light on some of the problems of philosophy which have been treated by logic. In this article, definite description, and in particular its employment within mathematics, is formulated within the type theory. Homotopy type theory has been proposed as an inherently structuralist foundational language for mathematics. Using the new formulation of definite descriptions, opportunities (...)
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  5.  70
    Assaying Lakatos's Philosophy of Mathematics.David Corfield - 1997 - Studies in History and Philosophy of Science Part A 28 (1):99-121.
  6. Understanding the Infinite I: Niceness, Robustness, and Realism†: Articles.David Corfield - 2010 - Philosophia Mathematica 18 (3):253-275.
    This paper treats the situation where a single mathematical construction satisfies a multitude of interesting mathematical properties. The examples treated are all infinitely large entities. The clustering of properties is termed ‘niceness’ by the mathematician Michiel Hazewinkel, a concept we compare to the ‘robustness’ described by the philosopher of science William Wimsatt. In the final part of the paper, we bring our findings to bear on the question of realism which concerns not whether mathematical entities exist as abstract objects, but (...)
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  7.  94
    Understanding the Infinite II: Coalgebra.David Corfield - 2011 - Studies in History and Philosophy of Science Part A 42 (4):571-579.
    In this paper we give an account of the rise and development of coalgebraic thinking in mathematics and computer science as an illustration of the way mathematical frameworks may be transformed. Originating in a foundational dispute as to the correct way to characterise sets, logicians and computer scientists came to see maximizing and minimizing extremal axiomatisations as a dual pair, each necessary to represent entities of interest. In particular, many important infinitely large entities can be characterised in terms of such (...)
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  8.  41
    Foundations of Bayesianism.David Corfield & Jon Williamson (eds.) - 2001 - Kluwer Academic Publishers.
    The volume includes important criticisms of Bayesian reasoning and also gives an insight into some of the points of disagreement amongst advocates of the ...
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  9.  12
    Lautman et la réalité des mathématiques.David Corfield - 2010 - Philosophiques 37 (1):95-109.
    Cet article examine la thèse de Lautman selon laquelle la réalité des mathématiques doit être approchée par la « réalisation des idées dialectiques ». Pour ce faire, nous reprenons deux exemples que Lautman a lui-même traités. La question est de savoir si on peut ou non mieux décrire les idées dialectiques comme mathématiques, particulièrement maintenant que les moyens mathématiques d’approcher ces idées au niveau de généralisation appropriée existent. Ainsi, la théorie des catégories, inconnue de Lautman, peut donner une description très (...)
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  10.  11
    Correction To: Expressing ‘the Structure of’ in Homotopy Type Theory.David Corfield - 2020 - Synthese 197 (2):701-701.
    The original article has been corrected. The article is published with Open Access but was missing Open Access information. This has been added.
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  11.  24
    Bayesianism in Mathematics.David Corfield - 2001 - In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers. pp. 175--201.
    A study of the possibility of casting plausible matheamtical inference in Bayesian terms.
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  12.  70
    Falsificationism and Statistical Learning Theory: Comparing the Popper and Vapnik-Chervonenkis Dimensions.David Corfield, Bernhard Schölkopf & Vladimir Vapnik - 2009 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (1):51-58.
    We compare Karl Popper’s ideas concerning the falsifiability of a theory with similar notions from the part of statistical learning theory known as VC-theory . Popper’s notion of the dimension of a theory is contrasted with the apparently very similar VC-dimension. Having located some divergences, we discuss how best to view Popper’s work from the perspective of statistical learning theory, either as a precursor or as aiming to capture a different learning activity.
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  13.  9
    Argumentation and the Mathematical Process.David Corfield - 2002 - In G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man. Kluwer Academic Publishers. pp. 115--138.
  14.  15
    The Form and Function of Duality in Modern Mathematics.Ralf Krömer & David Corfield - unknown
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  15.  64
    Reflections on Michael Friedman's Dynamics of Reason.David Corfield - unknown
    Friedman's rich account of the way the mathematical sciences ideally are transformed affords mathematics a more influential role than is common in the philosophy of science. In this paper I assess Friedman's position and argue that we can improve on it by pursuing further the parallels between mathematics and science. We find a richness to the organisation of mathematics similar to that Friedman finds in physics.
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  16.  23
    The Importance of Mathematical Conceptualisation.David Corfield - 2001 - Studies in History and Philosophy of Science Part A 32 (3):507-533.
    Mathematicians typically invoke a wide range of reasons as to why their research is valuable. These reveal considerable differences between their personal images of mathematics. One of the most interesting of these concerns the relative importance accorded to conceptual reformulation and development compared with that accorded to the achievement of concrete results. Here I explore the conceptualists' claim that the scales are tilted too much in favour of the latter. I do so by taking as a case study the debate (...)
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  17.  29
    Modal Homotopy Type Theory.David Corfield - unknown
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  18.  46
    Some Implications of the Adoption of Category Theory for Philosophy.David Corfield - unknown
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  19. Varieties of Justification in Machine Learning.David Corfield - 2010 - Minds and Machines 20 (2):291-301.
    Forms of justification for inductive machine learning techniques are discussed and classified into four types. This is done with a view to introduce some of these techniques and their justificatory guarantees to the attention of philosophers, and to initiate a discussion as to whether they must be treated separately or rather can be viewed consistently from within a single framework.
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  20.  11
    Commentaire sur Emmanuel Barot : Lautman.David Corfield - 2010 - Philosophiques 37 (1):207-211.
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  21.  42
    Introduction: Bayesianism Into the 21st Century.Jon Williamson & David Corfield - 2001 - In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers. pp. 1--16.
    Bayesian theory now incorporates a vast body of mathematical, statistical and computational techniques that are widely applied in a panoply of disciplines, from artificial intelligence to zoology. Yet Bayesians rarely agree on the basics, even on the question of what Bayesianism actually is. This book is about the basics e about the opportunities, questions and problems that face Bayesianism today.
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  22.  34
    Martin H. Krieger. Doing Mathematics: Convention, Subject, Calculation, Analogy. Singapore: World Scientific Publishing, 2003. Pp. XVIII + 454. ISBN 981-238-2003 (Cloth); 981-238-2062 (Paperback). [REVIEW]David Corfield - 2005 - Philosophia Mathematica 13 (1):106-111.
  23.  13
    Conceptual Mathematics: A First Introduction to Categories.David Corfield - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (2):359-366.
  24.  27
    Conceptual Mathematics: A First Introduction to Categories.David Corfield - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (2):359-366.
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  25.  13
    Projection and Projectability.David Corfield - unknown
    The problem of dataset shift can be viewed in the light of the more general problems of induction, in particular the question of what it is about some objects' features or properties which allow us to project correlations confidently to other times and other places.
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  26.  10
    Complementarity and Convergence in the Philosophies of Mathematics and Physics.David Corfield - 2006 - Metascience 15 (2):363-366.
  27.  7
    Narrative and the Rationality of Mathematics.David Corfield - unknown
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  28. Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy.David Corfield - 2020 - Oxford University Press.
    Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy provides a reasonably gentle introduction to this new logic, thoroughly motivated by intuitive explanations of the need for all of its component parts, and illustrated through innovative applications of the calculus.
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  29. Beyond the Methodology of Mathematics Research Programmes.Corfield David - 1998 - Philosophia Mathematica 6 (3):272-301.
    In this paper I assess the obstacles to a transfer of Lakatos's methodology of scientific research programmes to mathematics. I argue that, if we are to use something akin to this methodology to discuss modern mathematics with its interweaving theoretical development, we shall require a more intricate construction and we shall have to move still further away from seeing mathematical knowledge as a collection of statements. I also examine the notion of rivalry within mathematics and claim that this appears to (...)
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  30.  89
    Papyrologica Lugduno-Batava, edidit Institutum Papyrologicum Universitatis Lugduno-Batavae, moderantibus M. David, B. A. van Groningen, J. C. van Oven. I. The Warren Papyri. Ed. by M. David, B. A. van Groningen, and J. C. van Oven. Pp. xii + 76, 7 pll. 1941. Gld. 15. E. J. Brill, Leyden.II. Einige Wiener Papyri. Ed. by E. Boswinkel. Pp. viii + 76, 6 pll. 1942. Gld. 15. E. J. Brill, Leyden. III. Some Oxford Papyri. Ed. by E.P. Wegener. A. Text, pp. xxi + 96. 1942. B. Plates . 1948. Gld. 25. E. J. Brill, Leyden. IV. De Herodoti reliquiis in papyris et membranie Aegyptiis servatis. Ed. by A. H. R. E. Paap. Pp. viii + 104. 1948. Gld. 17.50. E. J. Brill, Leyden. V. Recherches sur le Recensement dans l'Égypte romaine . Ed. by M. Humbert and Cl. Préaux. Pp. x + 186, 1 pl. 1952. Gld. 50. E. J. Brill, Leyden.VI. A Family-Archive from Tebtunis. Ed. by B. A. van Groningen. 1950. Pp. xvi + 190. Gld. 40. E. J. Brill, Leyden. [REVIEW]E. G. Turner, M. David, B. A. van Groningen, J. C. van Oven, E. Boswinkel, E. P. Wegener, A. H. R. E. Paap, M. Hombert & Cl Preaux - 1953 - Journal of Hellenic Studies 73:163-164.
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  31.  48
    Should We Teach Patriotism?/David Archard.Archard David - 1999 - Studies in Philosophy and Education.–Ny.
    This article examines a particular debate between Eamonn Callan and William Galston concerning the need for a civic education which counters the divisive pull of pluralism by uniting the citizenry in patriotic allegiance to a single national identity. The article offers a preliminary understanding of nationalism and patriotism before setting out the terms of the debate. It then critically evaluates the central idea of Callan that one might be under an obligation morally to improve one''s own patriotic inheritance, pointing to (...)
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  32.  54
    The Ethics of War Richard Sorabji & David Rodin (Eds.) Ashgate, 2006, Pp. IX+ 253.Evans David - 2007 - Philosophy 82 (2):370.
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  33.  72
    The Geometry of a Dome: Ludovico David 's Dichiarazione Della Pittura Della Capella Del Collegio Clementino di Roma.Thomas Frangenberg & Ludovico David - 1994 - Journal of the Warburg and Courtauld Institutes 57:191-208.
  34. Ensayos y Estudios de Juan David García Bacca.García Bacca & Juan David - 2002 - Fundación Para la Cultura Urbana.
  35. David Hume. Œuvres philosophiques choisies.Maxime David & L. Lévy-Bruhl - 1912 - Revue de Métaphysique et de Morale 20 (3):6-7.
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  36.  50
    Bayesianism, Quo Vadis? —Critical Notice: David Corfield and Jon Williamson , Foundations of BayesianismDavid Corfield and Jon Williamson , Foundations of Bayesianism. Dordrecht: Kluwer Academic Publishers , 428 Pp. $110.00. [REVIEW]Mathias Risse - 2003 - Philosophy of Science 70 (1):225-231.
    This is a review essay about David Corfield and Jon Williamson's anthology Foundations of Bayesianism. Taken together, the fifteen essays assembled in the book assess the state of the art in Bayesianism. Such an assessment is timely, because decision theory and formal epistemology have become disciplines that are no longer taught on a routine basis in good philosophy departments. Thus we need to ask: Quo vadis, Bayesianism? The subjects of the articles include Bayesian group decision theory, approaches to (...)
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  37.  10
    Towards a Philosophy of Real Mathematics David Corfield Cambridge, Cambridge University Press, 2006, 288 P.Yvon Gauthier - 2008 - Dialogue 47 (3-4):700-.
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  38.  12
    David Corfield: Towards a Philosophy of Real Mathematics. [REVIEW]Christopher Pincock - 2005 - Philosophy of Science 72 (4):632-634.
  39.  18
    Review of David Corfield, Towards a Philosophy of Real Mathematics[REVIEW]Timothy Bays - 2004 - Notre Dame Philosophical Reviews 2004 (1).
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  40. David Corfield, Towards a Philosophy of Real Mathematics Reviewed By.Alasdair Urquhart - 2004 - Philosophy in Review 24 (3):175-177.
  41. David Corfield, Towards a Philosophy of Real Mathematics. [REVIEW]Alasdair Urquhart - 2004 - Philosophy in Review 24:175-177.
  42.  93
    Review of D. Corfield's Toward A Philosophy Of Real Mathematics. [REVIEW]Andrew Arana - 2007 - Mathematical Intelligencer 29 (2).
    When mathematicians think of the philosophy of mathematics, they probably think of endless debates about what numbers are and whether they exist. Since plenty of mathematical progress continues to be made without taking a stance on either of these questions, mathematicians feel confident they can work without much regard for philosophical reflections. In his sharp–toned, sprawling book, David Corfield acknowledges the irrelevance of much contemporary philosophy of mathematics to current mathematical practice, and proposes reforming the subject accordingly.
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  43.  42
    What the Foundationalist Filter Kept Out.Alexander Paseau - 2005 - Studies in History and Philosophy of Science Part A 36 (1):191-201.
    From title to back cover, a polemic runs through David Corfield's "Towards a Philosophy of Real Mathematics". Corfield repeatedly complains that philosophers of mathematics have ignored the interesting and important mathematical developments of the past seventy years, ‘filtering’ the details of mathematical practice out of philosophical discussion. His aim is to remedy the discipline’s long-sightedness and, by precept and example, to redirect philosophical attention towards current developments in mathematics. This review discusses some strands of Corfield’s philosophy (...)
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  44. The Fulfillment of a Polanyian Vision of Heuristic Theology: David Brown’s Reframing of Revelation, Tradition, and Imagination.David James Stewart - 2014 - Tradition and Discovery 41 (3):4-19.
    According to Richard Gelwick, one of the fundamental implications of Polanyi’s epistemology is that all intellectual disciplines are inherently heuristic. This article draws out the implications of a heuristic vision of theology latent in Polanyi’s thought by placing contemporary theologian David Brown’s dynamic understanding of tradition, imagination, and revelation in the context of a Polanyian-inspired vision of reality. Consequently, such a theology will follow the example of science, reimagining its task as one of discovery rather than mere reflection on (...)
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  45. David Foster Wallace on the Good Life.Nathan Ballantyne & Justin Tosi - 2015 - In Steven M. Cahn & Maureen Eckert (eds.), Freedom and the Self: Essays on the Philosophy of David Foster Wallace. Columbia University Press. pp. 133-168.
    This chapter presents David Foster Wallace's views about three positions regarding the good life—ironism, hedonism, and narrative theories. Ironism involves distancing oneself from everything one says or does, and putting on Wallace's so-called “mask of ennui.” Wallace said that the notion appeals to ironists because it insulates them from criticism. However, he reiterated that ironists can be criticized for failing to value anything. Hedonism states that a good life consists in pleasure. Wallace rejected such a notion, doubting that pleasure (...)
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  46. David Lewis on Persistence.Katherine Hawley - forthcoming - In Barry Loewer & Jonathan Schaffer (eds.), A Companion to David Lewis. Wiley-Blackwell. pp. 237-49.
    This paper provides an overview on David Lewis's writings about persistence. I focus on two issues. First, what is the relationship between the doctrine of Humean Supervenience and the rejection of endurantism? Second, why did Lewis not adopt a stage theory of persistence, given that he advocated a counterpart theory of modality?
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  47.  28
    Lewis, David: Nuevo Trabajo para una Teoría de los Universales [Translation] - Parte I.David Lewis & Diego Morales - 2015 - Ideas Y Valores 64 (157):251-267.
    First part of the translation into Spanish of David Lewis' "New Work for a Theory of Universals", corresponding to the introduction and the first two sections of the original paper. || Primera parte de la traducción al español del trabajo de David Lewis "New Work for a Theory of Universals", correspondiente a la introducción y las dos primeras secciones del artículo original. Artículo original publicado en: Australasian Journal of Philosophy, Vol. 61, No. 4, Dec. 1983, pp. 343-377.
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  48.  27
    Lewis, David: Nuevo Trabajo para una Teoría de los Universales [Translation] - Parte II.David K. Lewis & Diego Morales - 2015 - Ideas Y Valores 64 (158):247-277.
    Second part of the translation into Spanish of David Lewis' "New Work for a Theory of Universals", corresponding to the last sections of the original paper. || Segunda parte de la traducción al español del trabajo de David Lewis "New Work for a Theory of Universals", correspondiente a últimas secciones del artículo original. Artículo original publicado en: Australasian Journal of Philosophy, Vol. 61, No. 4, Dec. 1983, pp. 343-377.
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  49.  55
    Quantum Implications: Essays in Honour of David Bohm.Basil Hiley & F. David Peat (eds.) - 1991 - Routledge.
    David Bohm is one of the foremost scientific thinkers of today and one of the most distinguished scientists of his generation. His challenge to the conventional understanding of quantum theory has led scientists to reexamine what it is they are going and his ideas have been an inspiration across a wide range of disciplines. _Quantum Implications_ is a collection of original contributions by many of the world' s leading scholars and is dedicated to David Bohm, his work and (...)
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  50. História natural da religião, de David Hume.David Hume & Jaimir Conte - 2005 - São Paulo, SP, Brasil: Editora da Unesp.
    Tradução para o português da obra "História natural da religião", de David Hume.Tradução, apresentação e notas: Jaimir Conte. Editora da UNESP: São Paulo, 1ª ed. 2005. ISBN: 8571396043.
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