Results for 'Chistroper Pincock'

102 found
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  1. Christopher Pincock (Pincock@Purdue.Edu) September 4, 2006 (2782 Words).Chris Pincock - unknown
    In his carefully argued and extensively researched article “The Implications of Recent Work in the History of Analytic Philosophy” (Preston 2005a) Aaron Preston has raised what should surely be the central methodological issue for Russell studies and the history of analytic philosophy more generally.[1] That is, what are the goals of the history of analytic philosophy and by what means can we best try to meet these goals? Preston’s main conclusion is that historical investigation into the origins of analytic philosophy (...)
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  2.  97
    Structures, Fictions, and the Explanatory Epistemology of Mathematics in Science: Christopher Pincock: Mathematics and Scientific Representation. New York: Oxford University Press, 2012, 330pp, $65.00 HB.Mark Balaguer, Elaine Landry, Sorin Bangu & Christopher Pincock - 2013 - Metascience 22 (2):247-273.
  3. Mathematics and Scientific Representation.Christopher Pincock - 2012 - Oxford and New York: Oxford University Press USA.
    Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of (...)
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  4.  28
    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.
  5. Abstract Explanations in Science.Christopher Pincock - 2014 - 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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  6. A Role for Mathematics in the Physical Sciences.Chris Pincock - 2007 - Noûs 41 (2):253-275.
    Conflicting accounts of the role of mathematics in our physical theories can be traced to two principles. Mathematics appears to be both (1) theoretically indispensable, as we have no acceptable non-mathematical versions of our theories, and (2) metaphysically dispensable, as mathematical entities, if they existed, would lack a relevant causal role in the physical world. I offer a new account of a role for mathematics in the physical sciences that emphasizes the epistemic benefits of having mathematics around when we do (...)
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  7.  29
    Christopher Pincock. Mathematics and Scientific Representation. Oxford University Press, 2012. ISBN 978-0-19-975710-7. Pp. Xv + 330. [REVIEW]Michael Liston - 2013 - Philosophia Mathematica 21 (3):371-385.
  8.  47
    Christopher Pincock, Mathematics and Scientific Representation. Oxford: Oxford University Press, 2012, £41.99 (Hardback), 352 Pp., ISBN: 978-0-19-975710-7.Alan Baker - 2015 - British Journal for the Philosophy of Science 66 (3):695-699.
  9.  87
    The Unsolvability of The Quintic: A Case Study in Abstract Mathematical Explanation.Christopher Pincock - 2015 - Philosophers' Imprint 15.
    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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  10.  41
    Chris Pincock , Mathematics and Scientific Representation . Reviewed By. [REVIEW]Sam Baron - 2013 - Philosophy in Review 33 (1):63-66.
  11.  45
    A Defense of Truth as a Necessary Condition on Scientific Explanation.Christopher Pincock - forthcoming - Erkenntnis:1-20.
    How can a reflective scientist put forward an explanation using a model when they are aware that many of the assumptions used to specify that model are false? This paper addresses this challenge by making two substantial assumptions about explanatory practice. First, many of the propositions deployed in the course of explaining have a non-representational function. In particular, a proposition that a scientist uses and also believes to be false, i.e. an “idealization”, typically has some non-representational function in the practice, (...)
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  12.  65
    A New Perspective on the Problem of Applying Mathematics.Christopher Pincock - 2004 - Philosophia Mathematica 12 (2):135-161.
    This paper sets out a new framework for discussing a long-standing problem in the philosophy of mathematics, namely the connection between the physical world and a mathematical domain when the mathematics is applied in science. I argue that considering counterfactual situations raises some interesting challenges for some approaches to applications, and consider an approach that avoids these challenges.
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  13.  79
    Mathematical Idealization.Chris Pincock - 2007 - Philosophy of Science 74 (5):957-967.
    Mathematical idealizations are scientific representations that result from assumptions that are believed to be false, and where mathematics plays a crucial role. I propose a two stage account of how to rank mathematical idealizations that is largely inspired by the semantic view of scientific theories. The paper concludes by considering how this approach to idealization allows for a limited form of scientific realism. ‡I would like to thank Robert Batterman, Gabriele Contessa, Eric Hiddleston, Nicholaos Jones, and Susan Vineberg for helpful (...)
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  14. 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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  15.  71
    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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  16. 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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  17.  37
    Overextending Partial Structures: Idealization and Abstraction.Christopher Pincock - 2005 - Philosophy of Science 72 (5):1248-1259.
    The partial structures program of da Costa, French and others offers a unified framework within which to handle a wide range of issues central to contemporary philosophy of science. I argue that the program is inadequately equipped to account for simple cases where idealizations are used to construct abstract, mathematical models of physical systems. These problems show that da Costa and French have not overcome the objections raised by Cartwright and Suárez to using model‐theoretic techniques in the philosophy of science. (...)
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  18.  44
    Concrete Scale Models, Essential Idealization, and Causal Explanation.Christopher Pincock - 2022 - British Journal for the Philosophy of Science 73 (2):299-323.
    This paper defends three claims about concrete or physical models: these models remain important in science and engineering, they are often essentially idealized, in a sense to be made precise, and despite these essential idealizations, some of these models may be reliably used for the purpose of causal explanation. This discussion of concrete models is pursued using a detailed case study of some recent models of landslide generated impulse waves. Practitioners show a clear awareness of the idealized character of these (...)
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  19.  76
    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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  20.  65
    Mathematical Models of Biological Patterns: Lessons From Hamilton’s Selfish Herd.Christopher Pincock - 2012 - Biology and Philosophy 27 (4):481-496.
    Mathematical models of biological patterns are central to contemporary biology. This paper aims to consider what these models contribute to biology through the detailed consideration of an important case: Hamilton’s selfish herd. While highly abstract and idealized, Hamilton’s models have generated an extensive amount of research and have arguably led to an accurate understanding of an important factor in the evolution of gregarious behaviors like herding and flocking. I propose an account of what these models are able to achieve and (...)
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  21.  38
    Overextending Partial Structures: Idealization and Abstraction.Chris Pincock - 2005 - Philosophy of Science 72 (5):1248-1259.
    The partial structures program of da Costa, French and others offers a unified framework within which to handle a wide range of issues central to contemporary philosophy of science. I argue that the program is inadequately equipped to account for simple cases where idealizations are used to construct abstract, mathematical models of physical systems. These problems show that da Costa and French have not overcome the objections raised by Cartwright and Suárez to using model-theoretic techniques in the philosophy of science. (...)
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  22.  25
    Innovations in the History of Analytical Philosophy.Sandra Lapointe & Christopher Pincock - 2017 - Palgrave-Macmillan.
    This book offers new perspectives on the history of analytical philosophy, surveying recent scholarship on the philosophical study of mind, language, logic and reality over the course of the last 200 years. Each chapter contributes to a broader engagement with a wider range of figures, topics and disciplines outside of philosophy than has been traditionally associated with the history of analytical philosophy. The book acquaints readers with new aspects of analytical philosophy’s revolutionary past while engaging in a much needed methodological (...)
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  23. 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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  24.  77
    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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  25. 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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  26. Carnap's Logical Structure of the World.Chris Pincock - 2009 - Philosophy Compass 4 (6):951-961.
    This article aims to give an overview of Carnap's 1928 book Logical Structure of the World or Aufbau and the most influential interpretations of its significance. After giving an outline of the book in Section 2 , I turn to the first sustained interpretations of the book offered by Goodman and Quine in Section 3 . Section 4 explains how this empirical reductionist interpretation was largely displaced by its main competitor. This is the line of interpretation offered by Friedman and (...)
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  27.  64
    Mathemetical Explanation.Christopher Pincock & Paolo Mancosu - 2012 - Oxford Bibliographies in Philosophy.
  28.  81
    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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  29.  73
    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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  30. 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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  31. Mathematical Structural Realism.Christopher Pincock - 2011 - In Alisa Bokulich & Peter Bokulich (eds.), Scientific Structuralism. Springer Science+Business Media. pp. 67--79.
    Epistemic structural realists have argued that we are in a better epistemic position with respect to the structural claims made by our theories than the non-structural claims. Critics have objected that we cannot make the structure/non-structure distinction precise. I respond that a focus on mathematical structure leads to a clearer understanding of this debate. Unfortunately for the structural realist, however, the contribution that mathematics makes to scientific representation undermines any general confidence we might have in the structural claims made by (...)
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  32. Reply to Pincock.Justin Leiber - 2005 - The Bertrand Russell Society Quarterly 125.
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  33. Science and Mathematics: The Scope and Limits of Mathematical Fictionalism: Mary Leng: Mathematics and Reality. Oxford: Oxford University Press, 2010, X+278pp, £39.00 HB. [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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  34.  75
    Different Ways to Be a Realist: A Response to Pincock.Angela Potochnik - forthcoming - In Kareem Khalifa, Insa Lawler & Elay Shech (eds.), Scientific Understanding and Representation: Modeling in the Physical Sciences.
    In his chapter in this volume, Christopher Pincock develops an argument for scientific realism based on scientific understanding, and he argues that Giere’s (2006) and my (2017, 2020) commitment to the context-dependence of scientific understanding or knowledge renders our views unable to account for an essential step in how scientists come to know. Meanwhile, in my chapter in this volume, I motivate a view that I call "causal pattern realism." In this response to Pincock's chapter, I will sketch (...)
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  35.  77
    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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  36. Replies to Hardcastle and Pincock.Aaron Preston - 2007 - The Bertrand Russell Society Quarterly 136.
     
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  37.  31
    Bernard Linsky. The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge University Press, Cambridge, 2011, Vii + 407 Pp. [REVIEW]Christopher Pincock - 2013 - Bulletin of Symbolic Logic 19 (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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  38.  3
    Russel and Logical Empiricism.Christopher Pincock & Eric Fayet - unknown
    Christopher Pincock analyses the evolution of the Russellian theory of induction and compares it to Reichenbach's.
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  39.  14
    Sandra Lapointe and Christopher Pincock, Eds., "Innovations in the History of Analytical Philosophy." Reviewed By.Adam Tamas Tuboly - 2019 - Philosophy in Review 39 (2):77-79.
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  40. Models and Simulations.Marion Vorms & Christopher Pincock - unknown
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  41.  37
    Preface.Marion Vorms & Christopher Pincock - 2013 - Synthese 190 (2):187-188.
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  42.  38
    Carnap's Logical Structure of the World.Christopher Pincock - 2009 - Philosophy Compass 4 (6):951-961.
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  43.  2
    Which Universal Phenomena Are Emergent?Christopher Pincock & Eric Fayet - unknown
    Christopher Pincock discusses the nature of the explanation of the universality of certain natural phenomena, such as critical phenomena. Under what conditions can they be called emergent?
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  44. Reply to Soames.Chris Pincock - unknown
    Christopher Pincock April 24, 2006 My goal in reviewing Soames’ book was to help readers of this journal evaluate his contribution to the history of analytic philosophy, with a special focus on his discussion of Russell.[1] Soames charges both that I misrepresent the contents of his book and that I make mistakes in the interpretation of various aspects of Russell’s philosophy. If I had committed any errors of the former sort, I would certainly apologize and thank Soames for bringing (...)
     
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  45.  1
    Reply to Pincock's Review.Scott Soames - 2005 - Russell: The Journal of Bertrand Russell Studies 25 (2).
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  46.  11
    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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  47. Conditions on the Use of the One-Dimensional Heat Equation.Chris Pincock - unknown
    This paper explores the conditions under which scientists are warranted in adding the one-dimensional heat equation to their theories and then using the equation to describe particular physical situations. Summarizing these derivation and application conditions motivates an account of idealized scientific representation that relates the use of mathematics in science to interpretative questions about scientific theories.
     
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  48.  61
    Response to My Critics: Chris Pincock, Lisa Warenski and Jonathan Weinberg.Albert Casullo - 2016 - Philosophical Studies 173 (6):1705-1720.
    This is my response to the papers by Chris Pincock, Lisa Warenski and Jonathan Weinberg, which were presented at the Book Symposium on my Essays on A Priori Knowledge and Justification, American Philosophical Association Pacific Division Meetings, March 16–19, 2014.
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  49.  6
    The Collected Works of Rudolf Carnap, Volume 1: Early Writings, Edited by A. W. Carus, Michael Friedman, Wolfgang Kienzler, Alan Richardson & Sven Schlotter, General Editor Richard Creath, with Editorial Assistance From Steve Awodey, Dirk Schlimm & Richard Zach.Christopher Pincock - 2022 - Mind 131 (521):317-326.
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  50. Reviewed By.Chris Pincock - unknown
    Christopher Pincock, Department of Philosophy, Purdue University, West Lafayette, IN 47907, USA This volume presents seventeen essays (not eleven, as the publisher inexplicably claims) by a diverse group of philosophers that arose out of a conference in Florence in 1999. As its title indicates, the focus of the conference was the contemporary significance of the topics, methods and innovations of the logical empiricists. This has led to a nicely balanced collection that combines careful historical study with an eye on (...)
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