Search results for 'effectiveness of mathematics in natural science' (try it on Scholar)

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  1. László Tisza (forthcoming). The Reasonable Effectiveness of Mathematics in the Natural Sciences. Boston Studies in the Philosophy of Science.score: 2802.0
     
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  2. Eugene Wigner (1960). The Unreasonable Effectiveness of Mathematics in the Natural Sciences. Communications in Pure and Applied Mathematics 13:1-14.score: 2447.3
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  3. Michael Bennett McNulty (2014). Kant on Chemistry and the Application of Mathematics in Natural Science. Kantian Review 19 (3):393-418.score: 2302.5
    In his Metaphysische Anfangsgründe der Naturwissenschaft, Kant claims that chemistry is a science, but not a proper science (like physics), because it does not adequately allow for the application of mathematics to its objects. This paper argues that the application of mathematics to a proper science is best thought of as depending upon a coordination between mathematically constructible concepts and those of the science. In physics, the proper science that exhausts the a priori (...)
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  4. David B. Malament (ed.) (2002). Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics. Open Court.score: 2010.0
    In this book, 13 leading philosophers of science focus on the work of Professor Howard Stein, best known for his study of the intimate connection between ...
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  5. C. Smeenk (2005). David B. Malament, Editor, Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics, Open Court, Chicago and La Salle, IL (2002) ISBN 0-8126-9506-2 (Pp. 424 US $ 42.95, Hardcover). [REVIEW] Studies in History and Philosophy of Science Part B 36 (1):194-199.score: 2010.0
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  6. M. J. Nye, J. L. Richards, R. H. Stuewer & C. Smith (1995). The Invention of Physical Science. Intersections of Mathematics, Theology and Natural Philosophy Since the Seventeenth Century. Essays in Honor of Erwin N. Hiebert. [REVIEW] Annals of Science 52 (2):209-210.score: 1960.0
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  7. Crosbie Smith (1995). The Invention Of Physical Science-Intersections Of Mathematics, Theology And Natural-Philosophy Since The 17th-Century-Essays In Honor Of Hiebert, Erwin, N.-Nye, MJ, Richards, JL, Stuewer, RH. Annals of Science 52 (2):209-211.score: 1960.0
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  8. Mark Colyvan, The Undeniable Effectiveness of Mathematics in the Special Sciences.score: 1620.7
    In many of the special sciences, mathematical models are used to provide information about specified target systems. For instance, population models are used in ecology to make predictions about the abundance of real populations of particular organisms. The status of mathematical models, though, is unclear and their use is hotly contested by some practitioners. A common objection levelled against the use of these models is that they ignore all the known, causally-relevant details of the often complex target systems. Indeed, the (...)
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  9. Michael Friedman (2012). Newton and Kant: Quantity of Matter in the Metaphysical Foundations of Natural Science. Southern Journal of Philosophy 50 (3):482-503.score: 1620.0
    Immanuel Kant's Metaphysical Foundations of Natural Science (1786) provides metaphysical foundations for the application of mathematics to empirically given nature. The application that Kant primarily has in mind is that achieved in Isaac Newton's Principia (1687). Thus, Kant's first chapter, the Phoronomy, concerns the mathematization of speed or velocity, and his fourth chapter, the Phenomenology, concerns the empirical application of the Newtonian notions of true or absolute space, time, and motion. This paper concentrates on Kant's second and (...)
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  10. Alberto Artosi (2010). Please Don't Use Science or Mathematics in Arguing for Human Rights or Natural Law. Ratio Juris 23 (3):311-332.score: 1600.0
    In the vast literature on human rights and natural law one finds arguments that draw on science or mathematics to support claims to universality and objectivity. Here are two such arguments: 1) Human rights are as universal (i.e., valid independently of their specific historical and cultural Western origin) as the laws and theories of science; and 2) principles of natural law have the same objective (metahistorical) validity as mathematical principles. In what follows I will examine (...)
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  11. R. Harré (1963). The Concept and Role of the Model in Mathematics and Natural and Social Sciences. History of Science 2:172.score: 1510.0
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  12. Mark Steiner (1989). The Application of Mathematics to Natural Science. Journal of Philosophy 86 (9):449-480.score: 1440.8
    The first part of the essay describes how mathematics, in particular mathematical concepts, are applicable to nature. mathematical constructs have turned out to correspond to physical reality. this correlation between the world and mathematical concepts, it is argued, is a true phenomenon. the second part of this essay argues that the applicability of mathematics to nature is mysterious, in that not only is there no known explanation for the correlation between mathematics and physical reality, but there is (...)
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  13. Ae Miller & Mg Miller (1994). Central Themes of Kant's Philosophy of Science: Metaphysics and Mathematics as the a Priori Basis for Natural Science. Boston Studies in the Philosophy of Science 159:10-16.score: 1360.0
  14. Karl Menger (1954). On Variables in Mathematics and in Natural Science. British Journal for the Philosophy of Science 5 (18):134-142.score: 1357.5
    Attempting to answer the question "what is a variable?," menger discusses the following topics: (1) numerical variables and variables in the sense of the logicians, (2) variable quantities, (3) scientific variable quantities, (4) functions, And (5) variable quantities and functions in pure and applied analysis. (staff).
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  15. Jennifer McRobert, Concept Construction in Kant's Metaphysical Foundations of Natural Science.score: 1345.0
    Kant's reasoning in his special metaphysics of nature is often opaque, and the character of his a priori foundation for Newtonian science is the subject of some controversy. Recent literature on the Metaphysical Foundations of Natural Science has fallen well short of consensus on the aims and reasoning in the work. Various of the doctrines and even the character of the reasoning in the Metaphysical Foundations have been taken to present insuperable obstacles to accepting Kant's claim to (...)
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  16. Hans Morten Haugen (2013). Human Rights in Natural Science and Technology Professions' Codes of Ethics? Business and Professional Ethics Journal 32 (1-2):49-76.score: 1329.8
    No global professional codes for the natural science and technology professions exist. In light of how the application of new technology can affect individuals and communities, this discrepancy warrants greater scrutiny. This article analyzes the most relevant processes and seeks to explain why these processes have not resulted in global codes. Moreover, based on a human rights approach, the article gives recommendations on the future process and content of codes for science and technology professions. The relevance of (...)
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  17. Joshua Barlaz (1955). Review: D. Shulz, Mathematics, its Nature and Methods; D. Shoulz, The New Mathematics; D. Schultz, Ways of Thinking in Natural Sciences. [REVIEW] Journal of Symbolic Logic 20 (3):288-288.score: 1314.7
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  18. I. A. Akchurin, M. F. Vedenov & Iu V. Sachkov (1966). Methodological Problems of Mathematical Modeling in Natural Science. Russian Studies in Philosophy 5 (2):23-34.score: 1310.5
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  19. A. P. (1998). The Scope of Hermeneutics in Natural Science. Studies in History and Philosophy of Science Part A 29 (2):273-298.score: 1304.0
    Hermeneutics, or interpretation, is concerned with the generation, transmission, and acceptance of meaning within the lifeworld, and was the original method of the human sciences stemming, from F. Schleiermacher and W. Dilthey. The `hermeneutic philosophy' refers mostly to Heidegger. This paper addresses natural science from the perspective of Heidegger's analysis of meaning and interpretation. Its purpose is to incorporate into the philosophy of science those aspects of historicality, culture, and tradition that are absent from the traditional analysis (...)
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  20. R. D. P. (1962). The Concept and the Role of the Model in Mathematics and Natural and Social Sciences. Review of Metaphysics 15 (4):682-682.score: 1299.7
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  21. A. E. Black & E. L. Deci (2000). The Effects of Student Self-Regulation and Instructor Autonomy Support on Learning in a College-Level Natural Science Course: A Self-Determination Theory Perspective. Science Education 84 (6):740-756.score: 1299.7
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  22. Mark Wilson (2000). The Unreasonable Uncooperativeness of Mathematics in The Natural Sciences. The Monist 83 (2):296-314.score: 1297.5
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  23. José Ferreirós (2009). C.K. Raju. Cultural Foundations of Mathematics: The Nature of Mathematical Proof and the Transmission of the Calculus From India to Europe in the 16th C. Ce. History of Science, Philosophy and Culture in Indian Civilization. [REVIEW] Philosophia Mathematica 17 (3):nkn028.score: 1290.8
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  24. J. L. Synge (1963). The Concept and the Role of the Model in Mathematics and Natural and Social Sciences. Philosophical Studies 12:257-260.score: 1286.7
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  25. P. Tholt (2004). The Essence of Mathematical Natural Science in the Deliberations of Jan Patocka. Filozofia 59 (6):416-433.score: 1286.7
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  26. Roland Omnès (2011). Wigner's “Unreasonable Effectiveness of Mathematics”, Revisited. Foundations of Physics 41 (11):1729-1739.score: 1280.3
    A famous essay by Wigner is reexamined in view of more recent developments around its topic, together with some remarks on the metaphysical character of its main question about mathematics and natural sciences.
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  27. Stuart Shanker (ed.) (1996). Philosophy of Science, Logic, and Mathematics in the Twentieth Century. Routledge.score: 1272.0
    Volume 9 of the Routledge History of Philosophy surveys ten key topics in the Philosophy of Science, Logic and Mathematics in the Twentieth Century. Each article is written by one of the world's leading experts in that field. The papers provide a comprehensive introduction to the subject in question, and are written in a way that is accessible to philosophy undergraduates and to those outside of philosophy who are interested in these subjects. Each chapter contains an extensive bibliography (...)
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  28. Alonzo Church (1957). Review: Karl Menger, On Variables in Mathematics and in Natural Science; Karl Menger, Variables, de Diverses Natures; Karl Menger, What Are Variables and Constants. [REVIEW] Journal of Symbolic Logic 22 (3):300-301.score: 1252.5
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  29. Christopher Pincock (2011). On Batterman's 'On the Explanatory Role of Mathematics in Empirical Science'. British Journal for the Philosophy of Science 62 (1):211 - 217.score: 1246.0
    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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  30. Arkady Plotnitsky (2011). On the Reasonable and Unreasonable Effectiveness of Mathematics in Classical and Quantum Physics. Foundations of Physics 41 (3):466-491.score: 1218.0
    The point of departure for this article is Werner Heisenberg’s remark, made in 1929: “It is not surprising that our language [or conceptuality] should be incapable of describing processes occurring within atoms, for … it was invented to describe the experiences of daily life, and these consist only of processes involving exceedingly large numbers of atoms. … Fortunately, mathematics is not subject to this limitation, and it has been possible to invent a mathematical scheme—the quantum theory [quantum mechanics]—which seems (...)
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  31. 熊 辉 (2013). 数学与科学、自然哲学的关系及其演变
    Evolvement of the Relation Between Mathematics, Science and Natural Philosophy.
    Advances in Philosophy 2 (3):21-25.
    score: 1215.0
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  32. Heinrich Rickert (1986). The Limits of Concept Formation in Natural Science: A Logical Introduction to the Historical Sciences. Cambridge University Press.score: 1212.0
    Heinrich Rickert (1863-1936) was One of the leading neo-Kantian philosophers in Germany and a crucial figure in the discussions of the foundations of the social sciences in the first quarter of the twentieth century. His views were extremely influential, most significantly on Max Weber. The Limits of Concept Formation in Natural Science is Rickert's most important work, and it is here translated into English for the first time. It presents his systematic theory of knowledge and philosophy of (...), and deals particularly with historical knowledge and the problem of demarcating the natural from the human sciences. The theory Rickert develops is carefully argued and of great intrinsic interest. It departs from both positivism and neo-Hegelian idealism and is worked out by contrast to the views of others, particularly Dilthey and the early phenomenologists. (shrink)
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  33. John P. Burgess (1992). How Foundational Work in Mathematics Can Be Relevant to Philosophy of Science. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:433 - 441.score: 1204.0
    Foundational work in mathematics by some of the other participants in the symposium helps towards answering the question whether a heterodox mathematics could in principle be used as successfully as is orthodox mathematics in scientific applications. This question is turn, it will be argued, is relevant to the question how far current science is the way it is because the world is the way it is, and how far because we are the way we are, which (...)
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  34. Ian Hacking (1983). Representing and Intervening: Introductory Topics in the Philosophy of Natural Science. Cambridge University Press.score: 1200.0
    This is a lively and clearly written introduction to the philosophy of natural science, organized around the central theme of scientific realism. It has two parts. 'Representing' deals with the different philosophical accounts of scientific objectivity and the reality of scientific entities. The views of Kuhn, Feyerabend, Lakatos, Putnam, van Fraassen, and others, are all considered. 'Intervening' presents the first sustained treatment of experimental science for many years and uses it to give a new direction to debates (...)
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  35. Richard Yeo (2006). William Whewell, Natural Theology and the Philosophy of Science in Mid Nineteenth Century Britain. Annals of Science 36 (5):493-516.score: 1200.0
    (1979). William Whewell, natural theology and the philosophy of science in mid nineteenth century Britain. Annals of Science: Vol. 36, No. 5, pp. 493-516.
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  36. Robert Batterman (2010). On the Explanatory Role of Mathematics in Empirical Science. British Journal for the Philosophy of Science 61 (1):1-25.score: 1190.0
    This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed.
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  37. Edward Beach (2006). Hegel's Misunderstood Treatment of Gauss in the Science of Logic: Its Implications for His Philosophy of Mathematics. Idealistic Studies 36 (3):191-218.score: 1184.5
    This essay explores Hegel’s treatment of Carl Friedrich Gauss’s mathematical discoveries as examples of “Analytic Cognition.” Unfortunately, Hegel’s main point has been virtually lost due to an editorial blunder tracing back almost a century, an error that has been perpetuated in many subsequent editions and translations.The paper accordingly has three sections. In the first, I expose the mistake and trace its pervasive influence in multiple languages and editions of the Wissenschaftder Logik. In the second section, I undertake to explain the (...)
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  38. Kenneth R. Westphal (1995). Does Kant's Metaphysical Foundations of Natural Science Fill a Gap in the Critique of Pure Reason? Synthese 103 (1):43 - 86.score: 1176.0
    In 1792 and 1798 Kant noticed two basic problems with hisMetaphysical Foundations of Natural Science (MAdN) which opened a crucial gap in the Critical system as a whole. Why is theMAdN so important? I show that the Analogies of Experience form an integrated proof of transeunt causality. This is central to Kant's answer to Hume. This proof requires explicating the empirical concept of matter as the moveable in space, it requires the specifically metaphysical principle that every physical event (...)
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  39. Yvon Gauthier (1985). Representing and Intervening: Introductory Topics in the Philosophy of Natural Science Ian Hacking Cambridge: Cambridge University Press, 1983. 287 P. [REVIEW] Dialogue 24 (01):162-.score: 1176.0
    This is a lively and clearly written introduction to the philosophy of natural science, organized around the central theme of scientific realism. It has two parts. 'Representing' deals with the different philosophical accounts of scientific objectivity and the reality of scientific entities. The views of Kuhn, Feyerabend, Lakatos, Putnam, van Fraassen, and others, are all considered. 'Intervening' presents the first sustained treatment of experimental science for many years and uses it to give a new direction to debates (...)
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  40. Jack Zupcko (1997). What is the Science of the Soul? A Case Study in the Evolution of Late Medieval Natural Philosophy. Synthese 110 (2):297-334.score: 1176.0
    This paper aims at a partial rehabilitation of E. A. Moody''s characterization of the 14th century as an age of rising empiricism, specifically by contrasting the conception of the natural science of psychology found in the writings of a prominent 13th-century philosopher (Thomas Aquinas) with those of two 14th-century philosophers (John Buridan and Nicole Oresme). What emerges is that if the meaning of empiricism can be disengaged from modern and contemporary paradigms, and understood more broadly in terms of (...)
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  41. Jack Zupko (1997). What Is the Science of the Soul? A Case Study in the Evolution of Late Medieval Natural Philosophy. Synthese 110 (2):297 - 334.score: 1176.0
    This paper aims at a partial rehabilitation of E. A. Moody's characterization of the 14th century as an age of rising empiricism, specifically by contrasting the conception of the natural science of psychology found in the writings of a prominent 13th-century philosopher (Thomas Aquinas) with those of two 14th-century philosophers (John Buridan and Nicole Oresme). What emerges is that if the meaning of empiricism can be disengaged from modern and contemporary paradigms, and understood more broadly in terms of (...)
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  42. Neal C. Gillespie (1990). The Interface of Natural Theology and Science in the Ethology of W. H. Thorpe. Journal of the History of Biology 23 (1):1 - 38.score: 1168.0
    It should be clear by now the extent to which many features of Thorpe's interpretation of animal behavior and of the animal mind rested, at bottom, not simply on conventional scientific proofs but on interpretive inferences, which in turn rested on a willingress to make extensions of human experience to animals. This, in turn, rested on his view of evolution and his view of reality. And these were governed by his natural theology, which was the fundamental stratum of his (...)
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  43. Dirk Schlimm, Axiomatics and Progress in the Light of 20th Century Philosophy of Science and Mathematics.score: 1156.0
    This paper is a contribution to the question of how aspects of science have been perceived through history. In particular, I will discuss how the contribution of axiomatics to the development of science and mathematics was viewed in 20th century philosophy of science and philosophy of mathematics. It will turn out that in connection with scientific methodology, in particular regarding its use in the context of discovery, axiomatics has received only very little attention. This is (...)
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  44. S. G. Shanker (ed.) (2003). Routledge History of Philosophy Volume Ix: Philosophy of the English-Speaking World in the Twentieth Century 1: Science, Logic and Mathematics. Routledge.score: 1156.0
    Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus ; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay (...)
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  45. Penelope A. Rush (2013). Book Reviews: Richard L. Epstein, “Reasoning in Science and Mathematics: Essays on Logic as The Art of Reasoning Well”. Logic and Logical Philosophy 22 (3):365-371.score: 1152.0
    Richard L. Epstein, Reasoning in Science and Mathematics: Essayson Logic as The Art of Reasoning Well, Advanced Reasoning Forum,2011, 134 pp., ISBN-13: 978-0983452126, ISBN-10: 0983452121.
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  46. Juha Saatsi (2011). The Enhanced Indispensability Argument: Representational Versus Explanatory Role of Mathematics in Science. British Journal for the Philosophy of Science 62 (1):143-154.score: 1150.0
    The Enhanced Indispensability Argument (Baker [ 2009 ]) exemplifies the new wave of the indispensability argument for mathematical Platonism. The new wave capitalizes on mathematics' role in scientific explanations. I will criticize some analyses of mathematics' explanatory function. In turn, I will emphasize the representational role of mathematics, and argue that the debate would significantly benefit from acknowledging this alternative viewpoint to mathematics' contribution to scientific explanations and knowledge.
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  47. Maarten Van Dyck & Albrecht Heeffer (2014). Script and Symbolic Writing in Mathematics and Natural Philosophy. Foundations of Science 19 (1):1-10.score: 1140.0
    We introduce the question whether there are specific kinds of writing modalities and practices that facilitated the development of modern science and mathematics. We point out the importance and uniqueness of symbolic writing, which allowed early modern thinkers to formulate a new kind of questions about mathematical structure, rather than to merely exploit this structure for solving particular problems. In a very similar vein, the novel focus on abstract structural relations allowed for creative conceptual extensions in natural (...)
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  48. Alexander Paseau (2008). Naturalism in the Philosophy of Mathematics. In Stanford Encyclopedia of Philosophy.score: 1125.0
    Contemporary philosophy’s three main naturalisms are methodological, ontological and epistemological. Methodological naturalism states that the only authoritative standards are those of science. Ontological and epistemological naturalism respectively state that all entities and all valid methods of inquiry are in some sense natural. In philosophy of mathematics of the past few decades methodological naturalism has received the lion’s share of the attention, so we concentrate on this. Ontological and epistemological naturalism in the philosophy of mathematics are discussed (...)
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  49. Michael R. Matthews (ed.) (2014). International Handbook of Research in History, Philosophy and Science Teaching. Springer.score: 1123.0
    This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first (...)
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  50. Kenneth W. Kemp (1998). The Virtue of Faith in Theology, Natural Science, and Philosophy. Faith and Philosophy 15 (4):462-477.score: 1117.3
    In this paper, I attempt to develop the account of intellectual virtues offered by Aristotle and St. Thomas in a way which recognizes faith as a good intellectual habit. I go on to argue that, as a practical matter, this virtue is needed not only in theology, where it provides the basis of further intellectual work, but also in the natural sciences, where it is required given the complexity of the subject matter and the cooperative nature of the enterprise.
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