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David Corfield [17]David Neil Corfield [2]
  1. David Corfield, Narrative and the Rationality of Mathematics.
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  2. David Corfield (2011). Understanding the Infinite II: Coalgebra. 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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  3. David Corfield (2010). Commentaire sur Emmanuel Barot : Lautman. Philosophiques 37 (1):207-211.
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  4. David Corfield (2010). Lautman et la réalité des mathématiques. Philosophiques 37 (1):95-109.
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  5. David Corfield (2010). Varieties of Justification in Machine Learning. 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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  6. David Corfield, Projection and Projectability.
    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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  7. David Corfield, Bernhard Schölkopf & Vladimir Vapnik (2009). Falsificationism and Statistical Learning Theory: Comparing the Popper and Vapnik-Chervonenkis Dimensions. [REVIEW] Journal for General Philosophy of Science 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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  8. David Corfield (2006). Complementarity and Convergence in the Philosophies of Mathematics and Physics. Metascience 15 (2):363-366.
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  9. David Corfield, Some Implications of the Adoption of Category Theory for Philosophy.
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  10. David Corfield (2005). 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] Philosophia Mathematica 13 (1):106-111.
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  11. David Corfield, Reflections on Michael Friedman's Dynamics of Reason.
    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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  12. David Corfield (2003). Towards a Philosophy of Real Mathematics. 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 are doing (...)
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  13. David Corfield (2002). Argumentation and the Mathematical Process. In G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man. Kluwer. 115--138.
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  14. David Corfield (2002). Conceptual Mathematics: A First Introduction to Categories. Studies in History and Philosophy of Science Part B 33 (2):359-366.
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  15. David Corfield (2001). Bayesianism in Mathematics. In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers. 175--201.
    A study of the possibility of casting plausible matheamtical inference in Bayesian terms.
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  16. David Corfield & Jon Williamson (eds.) (2001). Foundations of Bayesianism. 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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  17. Jon Williamson & David Corfield (2001). Introduction: Bayesianism Into the 21st Century. In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers. 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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