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Profile: Christopher Pincock (Ohio State University)
  1.  61
    Abstract Explanations in Science.Christopher Pincock - 2015 - British Journal for the Philosophy of Science 66 (4):857-882.
    This article focuses on a case that expert practitioners count as an explanation: a mathematical account of Plateau’s laws for soap films. I argue that this example falls into a class of explanations that I call abstract explanations.explanations involve an appeal to a more abstract entity than the state of affairs being explained. I show that the abstract entity need not be causally relevant to the explanandum for its features to be explanatorily relevant. However, it remains unclear how to unify (...)
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  2.  81
    A Revealing Flaw in Colyvan's Indispensability Argument.Christopher Pincock - 2004 - Philosophy of Science 71 (1):61-79.
    Mark Colyvan uses applications of mathematics to argue that mathematical entities exist. I claim that his argument is invalid based on the assumption that a certain way of thinking about applications, called `the mapping account,' is correct. My main contention is that successful applications depend only on there being appropriate structural relations between physical situations and the mathematical domain. As a variety of non-realist interpretations of mathematics deliver these structural relations, indispensability arguments are invalid.
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  3.  35
    Mathematical Models of Biological Patterns: Lessons From Hamilton's Selfish Herd.Christopher Pincock - 2012 - Biology and Philosophy 27 (4):481-496.
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  4. Modeling Reality.Christopher Pincock - 2011 - Synthese 180 (1):19 - 32.
    My aim in this paper is to articulate an account of scientific modeling that reconciles pluralism about modeling with a modest form of scientific realism. The central claim of this approach is that the models of a given physical phenomenon can present different aspects of the phenomenon. This allows us, in certain special circumstances, to be confident that we are capturing genuine features of the world, even when our modeling occurs independently of a wholly theoretical motivation. This framework is illustrated (...)
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  5.  40
    How to Avoid Inconsistent Idealizations.Christopher Pincock - 2014 - Synthese 191 (13):2957-2972.
    Idealized scientific representations result from employing claims that we take to be false. It is not surprising, then, that idealizations are a prime example of allegedly inconsistent scientific representations. I argue that the claim that an idealization requires inconsistent beliefs is often incorrect and that it turns out that a more mathematical perspective allows us to understand how the idealization can be interpreted consistently. The main example discussed is the claim that models of ocean waves typically involve the false assumption (...)
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  6.  16
    Overextending Partial Structures: Idealization and Abstraction.Christopher Pincock - 2005 - Philosophy of Science 72 (5):1248-1259.
  7.  6
    Mathematical Idealization.Christopher Pincock - 2007 - Philosophy of Science 74 (5):957-967.
  8.  52
    Russell's Last (And Best) Multiple-Relation Theory of Judgement.Christopher Pincock - 2008 - Mind 117 (465):107 - 139.
    Russell's version of the multiple-relation theory from the "Theory of Knowledge" manuscript is presented and defended against some objections. A new problem, related to defining truth via correspondence, is reconstructed from Russell's remarks and what we know of Wittgenstein's objection to Russell's theory. In the end, understanding this objection in terms of correspondence helps to link Russell's multiple-relation theory to his later views on propositions.
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  9.  57
    On Batterman's 'On the Explanatory Role of Mathematics in Empirical Science'.Christopher Pincock - 2011 - British Journal for the Philosophy of Science 62 (1):211 - 217.
    This discussion note of (Batterman [2010]) clarifies the modest aims of my 'mapping account' of applications of mathematics in science. Once these aims are clarified it becomes clear that Batterman's 'completely new approach' (Batterman [2010], p. 24) is not needed to make sense of his cases of idealized mathematical explanations. Instead, a positive proposal for the explanatory power of such cases can be reconciled with the mapping account.
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  10. Science and Mathematics: The Scope and Limits of Mathematical Fictionalism. [REVIEW]Christopher Pincock, Alan Baker, Alexander Paseau & Mary Leng - 2012 - Metascience 21 (2):269-294.
    Science and mathematics: the scope and limits of mathematical fictionalism Content Type Journal Article Category Book Symposium Pages 1-26 DOI 10.1007/s11016-011-9640-3 Authors Christopher Pincock, University of Missouri, 438 Strickland Hall, Columbia, MO 65211-4160, USA Alan Baker, Department of Philosophy, Swarthmore College, Swarthmore, PA 19081, USA Alexander Paseau, Wadham College, Oxford, OX1 3PN UK Mary Leng, Department of Philosophy, University of York, Heslington, York, YO10 5DD UK Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
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  11. Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
    Most contemporary philosophy of mathematics focuses on a small segment of mathematics, mainly the natural numbers and foundational disciplines like set theory. While there are good reasons for this approach, in this paper I will examine the philosophical problems associated with the area of mathematics known as applied mathematics. Here mathematicians pursue mathematical theories that are closely connected to the use of mathematics in the sciences and engineering. This area of mathematics seems to proceed using different methods and standards when (...)
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  12.  54
    Structures, Fictions, and the Explanatory Epistemology of Mathematics in Science.Mark Balaguer, Elaine Landry, Sorin Bangu & Christopher Pincock - 2013 - Metascience 22 (2):247-273.
  13.  51
    A Reserved Reading of Carnap's Aufbau.Christopher Pincock - 2005 - Pacific Philosophical Quarterly 86 (4):518–543.
    The two most popular approaches to Carnap's 1928 Aufbau are the empiricist reading of Quine and the neo-Kantian readings of Michael Friedman and Alan Richardson. This paper presents a third "reserved" interpretation that emphasizes Carnap's opposition to traditional philosophy and consequent naturalism. The main consideration presented in favor of the reserved reading is Carnap's work on a physical construction system. I argue that Carnap's construction theory was an empirical scientific discipline and that the basic relations of its construction systems need (...)
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  14. Philosophy of Mathematics.Christopher Pincock - 2011 - In J. Saatsi & S. French (eds.), Companion to the Philosophy of Science. Continuum. pp. 314-333.
    For many philosophers of science, mathematics lies closer to logic than it does to the ordinary sciences like physics, biology and economics. While this view may account for the relative neglect of the philosophy of mathematics by philosophers of science, it ignores at least two pressing questions about mathematics that philosophers of science need to be able to answer. First, do the similarities between mathematics and science support the view that mathematics is, after all, another science? Second, does the central (...)
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  15.  16
    Mathemetical Explanation.Christopher Pincock & Paolo Mancosu - 2012 - Oxford Bibliographies in Philosophy.
  16.  49
    Mathematical Explanations of the Rainbow.Christopher Pincock - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (1):13-22.
    Explanations of three different aspects of the rainbow are considered. The highly mathematical character of these explanations poses some interpretative questions concerning what the success of these explanations tells us about rainbows. I develop a proposal according to which mathematical explanations can highlight what is relevant about a given phenomenon while also indicating what is irrelevant to that phenomenon. This proposal is related to the extensive work by Batterman on asymptotic explanation with special reference to Batterman’s own discussion of the (...)
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  17.  33
    Mathematics, Science, and Confirmation Theory.Christopher Pincock - 2010 - Philosophy of Science 77 (5):959-970.
    This paper begins by distinguishing intrinsic and extrinsic contributions of mathematics to scientific representation. This leads to two investigations into how these different sorts of contributions relate to confirmation. I present a way of accommodating both contributions that complicates the traditional assumptions of confirmation theory. In particular, I argue that subjective Bayesianism does best accounting for extrinsic contributions, while objective Bayesianism is more promising for intrinsic contributions.
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  18.  13
    Carnap's Logical Structure of the World.Christopher Pincock - 2009 - Philosophy Compass 4 (6):951-961.
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  19.  39
    The Unsolvability of The Quintic: A Case Study in Abstract Mathematical Explanation.Christopher Pincock - 2015 - Philosophers' Imprint 15 (3).
    This paper identifies one way that a mathematical proof can be more explanatory than another proof. This is by invoking a more abstract kind of entity than the topic of the theorem. These abstract mathematical explanations are identified via an investigation of a canonical instance of modern mathematics: the Galois theory proof that there is no general solution in radicals for fifth-degree polynomial equations. I claim that abstract explanations are best seen as describing a special sort of dependence relation between (...)
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  20. The Applicability of Mathematics.Christopher Pincock - 2010 - Internet Encyclopedia of Philosophy.
    Depending on how it is clarified, the applicability of mathematics can lie anywhere on a spectrum from the completely trivial to the utterly mysterious. At the one extreme, it is obvious that mathematics is used outside of mathematics in cases which range from everyday calculations like the attempt to balance one s checkbook through the most demanding abstract modeling of subatomic particles. The techniques underlying these applications are perfectly clear to those who have mastered them and there seems to be (...)
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  21.  23
    Ian Hacking Why is There Philosophy of Mathematics at All?Christopher Pincock - 2016 - British Journal for the Philosophy of Science 67 (3):907-912.
  22. The Limits of the Relative A Priori.Christopher Pincock - 2007 - Soochow Journal of Philosophical Studies 16:51 - 68.
     
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  23. I.Christopher Pincock - unknown
    Most contemporary philosophy of mathematics focuses on a small segment of mathematics, mainly the natural numbers and foundational disciplines like set theory. While there are good reasons for this approach, in this paper I will examine the philosophical problems associated with the area of mathematics known as applied mathematics.
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  24.  36
    Mathematical Structural Realism.Christopher Pincock - 2011 - In Alisa Bokulich & Peter Bokulich (eds.), Scientific Structuralism. Springer Science+Business Media. pp. 67--79.
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  25.  55
    Fictions in Science: Philosophical Essays on Modeling and Idealization.Christopher Pincock - 2011 - International Studies in the Philosophy of Science 25 (2):196 - 199.
    International Studies in the Philosophy of Science, Volume 25, Issue 2, Page 196-199, June 2011.
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  26. Richard Semon and Russell’s Analysis of Mind.Christopher Pincock - 2006 - Russell: The Journal of Bertrand Russell Studies 26 (2).
    Russell’s study of the biologist and psychologist Richard Semon is traced to contact with the experimental psychologist Adolf Wohlgemuth and dated to the summer of 1919. This allows a new interpretation of when Russell embraced neutral monism and presents a case-study in Russell’s use of scientific results for philosophical purposes. Semon’s distinctive notion of mnemic causation was used by Russell to clarify both how images referred to things and how the existence of images could be reconciled with a neutral monist (...)
     
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  27. Scott Soames. Philosophical Analysis in the Twentieth Century_. _Volume 1: The Dawn of.Christopher Pincock - unknown
    The last twenty years have seen an explosion in books and papers on Russell’s philosophy and its contemporary significance. There is good reason to think that this will continue as the contents of the Collected Papers are digested by Russell scholars and as more specialists contribute to the history of analytic philosophy more generally. Given all this good news, it is disconcerting to find a 100 page discussion of Russell, in a well-reviewed book by a first-rate philosopher, repeating many of (...)
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  28.  15
    Platonism, Naturalism, and Mathematical Knowledge, by James Robert Brown.Christopher Pincock - 2014 - Mind 123 (492):1174-1177.
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  29.  39
    Exploring the Boundaries of Conceptual Evaluation.Christopher Pincock - 2010 - Philosophia Mathematica 18 (1):106-121.
    This is a critical notice of Mark Wilson's Wandering Significance.
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  30.  15
    Sorin Bangu. The Applicability of Mathematics in Science: Indispensability and Ontology. Basingstoke: Palgrave Macmillan, 2012. ISBN 978-0-230-28520-0 (Hbk). Pp. Xiii + 252. [REVIEW]Christopher Pincock - 2014 - Philosophia Mathematica 22 (3):401-412.
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  31. Comments on Scott Soames, Philosophical Analysis in the Twentieth Century, Volume I.Christopher Pincock - unknown
    Scott Soames has given us a clear, engaging but ultimately unsatisfying introduction to the history of analytic philosophy. Based on Soames’ impressive work in the philosophy of language, when these two volumes appeared I had high hopes that he would be successful. There is certainly a need for an introductory survey of the history of analytic philosophy. Currently, there is no resource for the beginning student or the amateur historian that will summarize our current understanding of the origins and development (...)
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  32.  36
    Russell's Influence on Carnap's Aufbau.Christopher Pincock - 2002 - Synthese 131 (1):1 - 37.
    This paper concerns the debate on the nature of Rudolf Carnap''sproject in his 1928 book The Logical Structure of the Worldor Aufbau. Michael Friedman and Alan Richardson haveinitiated much of this debate. They claim that the Aufbauis best understood as a work that is firmly grounded inneo-Kantian philosophy. They have made these claims in oppositionto Quine and Goodman''s ``received view'''' of the Aufbau. Thereceived view sees the Aufbau as an attempt to carry out indetail Russell''s external world program. I argue (...)
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  33.  9
    Carnap Brought Home: The View From Jena. [REVIEW]Christopher Pincock - 2006 - Vienna Circle Institute Yearbook 12:213-218.
  34.  19
    Preface.Marion Vorms & Christopher Pincock - 2013 - Synthese 190 (2):187-188.
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  35.  7
    Sorin Bangu. The Applicability of Mathematics in Science: Indispensability and Ontology. Basingstoke: Palgrave Macmillan, 2012. ISBN 978-0-230-28520-0 . Pp. Xiii + 252. [REVIEW]Christopher Pincock - 2014 - Philosophia Mathematica 22 (3):401-412.
  36.  6
    Comments on A. Casullo’s Essays on a Priori Knowledge and Justification.Christopher Pincock - 2016 - Philosophical Studies 173 (6):1687-1694.
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  37.  5
    Russell's Influence On Carnap's Aufbau.Christopher Pincock - 2002 - Synthese 131 (1):1-37.
    This paper concerns the debate on the nature of Rudolf Carnap's project in his 1928 book "The Logical Structure of the World or Aufbau". Michael Friedman and Alan Richardson have initiated much of this debate. They claim that the "Aufbau" is best understood as a work that is firmly grounded in neo-Kantian philosophy. They have made these claims in opposition to Quine and Goodman's "received view" of the "Aufbau". The received view sees the "Aufbau" as an attempt to carry out (...)
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  38. Mathematical Contributions to Scientific Explanation.Christopher Pincock - unknown
    After reviewing some different indispensability arguments, I distinguish several different ways in which mathematics can make an important contribution to a scientific explanation. Once these contributions are highlighted it will be possible to see that indispensability arguments have little chance of convincing us of the existence of abstract objects, even though they may give us good reason to accept the truth of some mathematical claims. However, in the concluding part of this paper, I argue that even though there is a (...)
     
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  39.  8
    Torsten Wilholt, Zahl Und Wirklichkeit: Eine Philosophische Untersuchung Über Die Anwendbarkeit der Mathematik [Number and Reality: A Philosophical Investigation of the Applicability of Mathematics]. Paderborn: Mentis, 2004. Pp. 309. ISBN 3-89785-368-X. [REVIEW]Christopher Pincock - 2005 - Philosophia Mathematica 13 (3):329-337.
  40.  20
    Jesper Lützen. Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics.Christopher Pincock - 2007 - Philosophia Mathematica 16 (1):140-144.
    Philosophers unacquainted with the workings of actual scientific practice are prone to imagine that our best scientific theories deliver univocal representations of the physical world that we can use to calibrate our metaphysics and epistemology. Those few philosophers who are also scientists, like Heinrich Hertz , tend to contest this assumption. As Jesper Lützen relates in his scholarly and engaging book, Hertz's Principles of Mechanics contributed to a lively debate about the content of classical mechanics and what, if anything, this (...)
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  41.  11
    Models and Simulations.Marion Vorms & Christopher Pincock - unknown
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  42.  17
    Review of Matthew B. Ostrow, Wittgenstein's Tractatus: A Dialectical Interpretation[REVIEW]Christopher Pincock - 2003 - Notre Dame Philosophical Reviews 2003 (1).
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  43. Accounting for the Unity of Experience in Dilthey, Rickert, Bradley and Ward.Christopher Pincock - 2010 - In U. Feest (ed.), Historical Perspectives on Erklaren and Verstehen. Springer. pp. 187-206.
    Forthcoming in U. Feest (ed.), Historical Perspectives on Erkl.
     
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  44.  12
    Review of Sajahan Miah, Russell's Theory of Perception (1905-1919)[REVIEW]Christopher Pincock - 2007 - Notre Dame Philosophical Reviews 2007 (3).
  45.  5
    Review of B. Linsky, The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition[REVIEW]Christopher Pincock - 2013 - Bulletin of Symbolic Logic 9 (1):106-108.
    Review by: Christopher Pincock The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 106-108, March 2013.
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  46.  2
    Mathematical Explanations of the Rainbow.Christopher Pincock - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (1):13-22.
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  47.  2
    David Corfield: Towards a Philosophy of Real Mathematics. [REVIEW]Christopher Pincock - 2005 - Philosophy of Science 72 (4):632-634.
  48.  6
    Review of Nikolay Milkov, A Hundred Years of English Philosophy[REVIEW]Christopher Pincock - 2004 - Notre Dame Philosophical Reviews 2004 (10).
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  49. Innovations in the History of Analytical Philosophy.Lapointe Sandra & Pincock Christopher (eds.) - forthcoming - Palgrave-Macmillan.
     
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  50. Comments on Leiber’s “Russell and Wittgenstein”.Christopher Pincock - 2005 - The Bertrand Russell Society Quarterly 125.
     
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