Search results for 'Mathematics History' (try it on Scholar)

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  1.  25
    W. S. Anglin (1996). Mathematics, a Concise History and Philosophy. Springer.
    This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed (...)
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  2.  30
    José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
    This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.
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  3. Roman Murawski (ed.) (2010). Essays in the Philosophy and History of Logic and Mathematics. Rodopi.
    The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. (...)
     
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  4.  20
    Bart Van Kerkhove (ed.) (2009). New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. [REVIEW] World Scientific.
    This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics.
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  5. Anne Rooney (2013). The History of Mathematics. Rosen Pub..
     
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  6.  23
    Charalampos Toumasis (1993). Ideas and Processes in Mathematics: A Course on History and Philosophy of Mathematics. Studies in Philosophy and Education 12 (2-4):245-256.
  7.  2
    Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393-407.
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  8. Roman Murawski (2011). Logos and Máthēma: Studies in the Philosophy of Mathematics and History of Logic. Peter Lang.
  9. Michael Otte & Marco Panza (1997). Analysis and Synthesis in Mathematics History and Philosophy.
     
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  10.  90
    John Mumma & Marco Panza (2012). Diagrams in Mathematics: History and Philosophy. Synthese 186 (1):1-5.
    Diagrams are ubiquitous in mathematics. From the most elementary class to the most advanced seminar, in both introductory textbooks and professional journals, diagrams are present, to introduce concepts, increase understanding, and prove results. They thus fulfill a variety of important roles in mathematical practice. Long overlooked by philosophers focused on foundational and ontological issues, these roles have come to receive attention in the past two decades, a trend in line with the growing philosophical interest in actual mathematical practice.
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  11.  38
    Simon B. Duffy (2013). Deleuze and the History of Mathematics: In Defense of the New. Bloomsbury.
    Gilles Deleuze’s engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems – for example, the problem of individuation – and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction (...)
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  12.  1
    Ubiratan D'Ambrosio (2016). Jiri Hudecek, Reviving Ancient Chinese Mathematics: Mathematics, History and Politics in the Work of Wu Wen-Tsun. New York: Routledge, 2014. Pp. Xii + 210. ISBN 978-0-4157-0296-6. £90.00. [REVIEW] British Journal for the History of Science 49 (1):143-144.
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  13.  1
    Michael Hallett (1990). Goldfarb Warren. Poincaré Against the Logicists. History and Philosophy of Modern Mathematics, Edited by Aspray William and Kitcher Philip, Minnesota Studies in the Philosophy of Science, Vol. 11, University of Minnesota Press, Minneapolis 1988, Pp. 61–81.Friedman Michael. Logical Truth and Analyticity in Carnap's “Logical Syntax of Language.” History and Philosophy of Modern Mathematics, Edited by Aspray William and Kitcher Philip, Minnesota Studies in the Philosophy of Science, Vol. 11, University of Minnesota Press, Minneapolis 1988, Pp. 82–94.Moore Gregory H.. The Emergence of First-Order Logic. History and Philosophy of Modern Mathematics, Edited by Aspray William and Kitcher Philip, Minnesota Studies in the Philosophy of Science, Vol. 11, University of Minnesota Press, Minneapolis 1988, Pp. 95–135.Dauben Joseph W.. Abraham Robinson and Nonstandard Analysis: History, Philosophy, and Foundations of Mathematics. History and Philosophy of Modern Mathematics, Edited by Aspray William. [REVIEW] Journal of Symbolic Logic 55 (3):1315-1319.
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  14.  10
    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.
    Book Review for Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics, La Salle, IL: Open Court, 2002. Edited by David Malament. This volume includes thirteen original essay by Howard Stein, spanning a range of topics that Stein has written about with characteristic passion and insight. This review focuses on the essays devoted to history and philosophy of physics.
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  15.  2
    Alonzo Church (1975). Review: E. R. Kiely, Mathematics, History Of. [REVIEW] Journal of Symbolic Logic 40 (4):597-598.
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  16. Alonzo Church (1975). Kiely E. R.. Mathematics, History Of. New Catholic Encyclopedia, Prepared by an Editorial Staff at the Catholic University of America, McGraw-Hill Book Company, New York Etc. 1967, Vol. 9, Pp. 447–456. [REVIEW] Journal of Symbolic Logic 40 (4):597-598.
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  17. Antoni Malet (2000). Analysis and Synthesis in Mathematics: History and PhilosophyMichael Otte Marco Panza. Isis 91 (1):135-136.
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  18. Michael Otte, Marco Panza & I. Grattan-Guinness (1998). Reviews: Mathematics and Logic-Analysis and Synthesis in Mathematics. History and Philosophy. [REVIEW] Annals of Science 55 (4):436-437.
     
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  19.  23
    András Máté (2006). Árpád Szabó and Imre Lakatos, or the Relation Between History and Philosophy of Mathematics. Perspectives on Science 14 (3):282-301.
    The thirty year long friendship between Imre Lakatos and the classic scholar and historian of mathematics Árpád Szabó had a considerable influence on the ideas, scholarly career and personal life of both scholars. After recalling some relevant facts from their lives, this paper will investigate Szabó's works about the history of pre-Euclidean mathematics and its philosophy. We can find many similarities with Lakatos' philosophy of mathematics and science, both in the self-interpretation of early axiomatic Greek (...) as Szabó reconstructs it, and in the general overview Szabó provides us about the turn from the intuitive methods of Greek mathematicians to the strict axiomatic method of Euclid's Elements. As a conclusion, I will argue that the correct explanation of these similarities is that in their main works they developed ideas they had in common from the period of intimate intellectual contact in Hungarian academic life in the mid-twentieth century. In closing, I will recall some relevant features of this background that deserve further research. (shrink)
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  20. Luke Hodgkin (2005). A History of Mathematics: From Mesopotamia to Modernity. Oxford University Press Uk.
    A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as (...)
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  21.  56
    Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393 - 407.
    This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams’ distinction between ‘history of philosophy’ and ‘history of ideas’ to argue that the philosophy of mathematics is unavoidably (...)
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  22.  51
    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.
    This book is part of a major project undertaken by the Centre for Studies in Civilizations , being one of a total of ninety-six planned volumes. The author is a statistician and computer scientist by training, who has concentrated on historical matters for the last ten years or so. The book has very ambitious aims, proposing an alternative philosophy of mathematics and a deviant history of the calculus. Throughout, there is an emphasis on the need to combine (...) and philosophy of mathematics, especially in order to evaluate properly the history of mathematics in India, in particular the history of the calculus.The pivotal goals of the book are to oppose the Eurocentric account of the history of science in general and mathematics in particular; to avoid the usual philosophical idea of the centrality of proof for mathematical knowledge, in favour of the traditional Indian notion of pramāṇa [validation] encompassing empirical elements and emphasizing calculation; to analyze the thousand-year-long development of infinite series in India, starting in the fifth century; and to show ‘how and why the calculus was imported into Europe’ from about 1500. The result is a picture in which inputs from the Indian subcontinent and epistemology are the driving forces of the history of mathematics, as people in the European subcontinent struggle to adopt new calculation techniques from the East in spite of Western philosophico-religious biases . Thus, a ‘first math war’ involved the algorismus de numero indorum, adopted for practical reasons, which forced Europeans to modify their epistemology of number and quantities. A ‘second math war’ revolved around infinite series and the calculus, since the background of Western epistemology created ‘spurious difficulties’ about infinities and infinitesimals, partially resolved with theories of real numbers. And a ‘third math war’ is …. (shrink)
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  23.  41
    Michael Stolz (2002). The History of Applied Mathematics and the History of Society. Synthese 133 (1-2):43 - 57.
    Choosing the history of statistics and operations research as a casestudy, several ways of setting the development of 20th century applied mathematics into a social context are discussed. It is shown that there is ample common ground between these contextualizations and several recent research programs in general contemporary history. It is argued that a closer cooperation between general historians and historians of mathematics might further the integration of the internalist and externalist approaches within the historiography of (...)
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  24.  49
    Charles Parsons (2009). William Tait. The Provenance of Pure Reason. Essays on the Philosophy of Mathematics and on its History. Philosophia Mathematica 17 (2):220-247.
    William Tait's standing in the philosophy of mathematics hardly needs to be argued for; for this reason the appearance of this collection is especially welcome. As noted in his Preface, the essays in this book ‘span the years 1981–2002’. The years given are evidently those of publication. One essay was not previously published in its present form, but it is a reworking of papers published during that period. The Introduction, one appendix, and some notes are new. Many of the (...)
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  25.  40
    Douglas Jesseph (1990). Rigorous Proof and the History of Mathematics: Comments on Crowe. Synthese 83 (3):449 - 453.
    Duhem's portrayal of the history of mathematics as manifesting calm and regular development is traced to his conception of mathematical rigor as an essentially static concept. This account is undermined by citing controversies over rigorous demonstration from the eighteenth and twentieth centuries.
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  26.  3
    Ricardo Karam (2015). Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics. Science and Education 24 (5 - 6):543-559.
    In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a (...)
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  27.  3
    Davide Bondoni (2009). Book Reviews: Geraldine Brady, "From Peirce to Skolem. A Neglected Chapter in the History of Logic", Studies in the History and Philosophy of Mathematics, Vol. 4, Elsevier , 2000, ISBN-13: 978-0444503343, ISBN-10: 0-444-50334-X. [REVIEW] Logic and Logical Philosophy 17 (4):353-357.
    Geraldine Brady, "From Peirce to Skolem. A Neglected Chapter in the History of Logic", Studies in the History and Philosophy of Mathematics, vol. 4, Elsevier, 2000, ISBN-13: 978-0444503343, ISBN-10: 0-444-50334-X, 625~pp.
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  28. J. Ferreiros & J. J. Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press Uk.
    This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
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  29. James Gow (2010). A Short History of Greek Mathematics. Cambridge University Press.
    James Gow's A Short History of Greek Mathematics provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. (...)
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  30.  10
    Leonid Grinin, Peter Herrmann, Andrey Korotayev & Arno Tausch (eds.) (2010). History & Mathematics: Processes and Models of Global Dynamics.
    A more and more important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical methods. The history is studied more and more as a system of various processes, within which one can detect waves and cycles of different lengths – from a few years to several centuries, or even millennia. This issue is the third collective monograph in the (...)
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  31. Luke Hodgkin (2013). A History of Mathematics: From Mesopotamia to Modernity. Oxford University Press Uk.
    A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as (...)
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  32. 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.
    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 on (...)
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  33. S. G. Shanker (ed.) (1996). Routledge History of Philosophy Volume Ix: Philosophy of the English-Speaking World in the Twentieth Century 1: Science, Logic and Mathematics. Routledge.
    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 on the (...)
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  34. T. J. Smiley & British Academy (2000). Mathematics and Necessity Essays in the History of Philosophy. Monograph Collection (Matt - Pseudo).
    Notes on Contributors Timothy Smiley, Preface M F Burnyeat, Plato on Why Mathematics is Good for the Soul Ian Hacking, What Mathematics Has Done to Some and Only Some Philosophers Jonathan Bennett, Infallibility and Modal Knowledge in Some Early Modern Philosophers.
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  35.  3
    William Aspray & Philip Kitcher (1988). History and Philosophy of Modern Mathematics. Monograph Collection (Matt - Pseudo).
  36.  39
    Eduard Glas (1989). Testing the Philosophy of Mathematics in the History of Mathematics. Studies in History and Philosophy of Science Part A 20 (1):115-131.
    Recent philosophical accounts of mathematics increasingly focus on the quasi-Empirical rather than the formal aspects of the field, The praxis of how mathematics is done rather than the idealized logical structure and foundations of the theory. The ultimate test of any philosophy of mathematics, However idealized, Is its ability to account adequately for the factual development of the subject in real time. As a text case, The works and views of felix klein (1849-1925) were studied. Major advances (...)
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  37.  33
    Eduard Glas (1989). Testing the Philosophy of Mathematics in the History of Mathematics. Studies in History and Philosophy of Science Part A 20 (2):157-174.
    Recent philosophical accounts of mathematics increasingly focus on the quasi-Empirical rather than the formal aspects of the field, The praxis of how mathematics is done rather than the idealized logical structure and foundations of the theory. The ultimate test of any philosophy of mathematics, However idealized, Is its ability to account adequately for the factual development of the subject in real time. As a text case, The works and views of felix klein (1849-1925) were studied. Major advances (...)
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  38.  5
    Paolo Mancosu (1999). Literature Survey: Recent Publications in the History and Philosophy of Mathematics From the Renaissance to Berkeley. [REVIEW] Metascience 8 (1):102-124.
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  39.  1
    R. C. H. Tanner (1962). On the Role of Equality and Inequality in the History of Mathematics. British Journal for the History of Science 1 (2):159-169.
    The following essay is adapted from one with the same title read to the British Society for the History of Science on 20 October 1958—the anniversary, by a striking coincidence, of the birth of W. H. Young . To his memory I dedicated the talk, and now rededicate its publication, not only because I am his daughter and of all that means, but because he invented a method, the method of monotone sequences, which shows the powerfulness of inequalities as (...)
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  40.  15
    David B. Malament (ed.) (2002). Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics. Open Court.
    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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  41.  14
    William Tait (2005). The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and its History. OUP Usa.
    William Tait is one of the most distinguished philosophers of mathematics of the last fifty years. This volume collects his most important published philosophical papers from the 1980's to the present. The articles cover a wide range of issues in the foundations and philosophy of mathematics, including some on historical figures ranging from Plato to Gdel.
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  42.  27
    Jordi Cat (2012). Into the 'Regions of Physical and Metaphysical Chaos': Maxwell's Scientific Metaphysics and Natural Philosophy of Action (Agency, Determinacy and Necessity From Theology, Moral Philosophy and History to Mathematics, Theory and Experiment). Studies in History and Philosophy of Science Part A 43 (1):91-104.
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  43.  2
    Michael J. Barany (2016). Christopher Hollings, Mathematics Across the Iron Curtain: A History of the Algebraic Theory of Semigroups. Providence, RI: American Mathematical Society, 2014. Pp. Xi + 441. ISBN 978-1-4704-1493-1. £79.95. [REVIEW] British Journal for the History of Science 49 (1):140-141.
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  44.  36
    Michael J. Crowe (1990). Duhem and History and Philosophy of Mathematics. Synthese 83 (3):431 - 447.
    The first part of this paper consists of an exposition of the views expressed by Pierre Duhem in his Aim and Structure of Physical Theory concerning the philosophy and historiography of mathematics. The second part provides a critique of these views, pointing to the conclusion that they are in need of reformulation. In the concluding third part, it is suggested that a number of the most important claims made by Duhem concerning physical theory, e.g., those relating to the Newtonian (...)
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  45.  38
    Leo Corry (1993). Kuhnian Issues, Scientific Revolutions and the History of Mathematics. Studies in History and Philosophy of Science Part A 24 (1):95-117.
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  46.  1
    Joan Richards (1987). Augustus De Morgan, the History of Mathematics, and the Foundations of Algebra. Isis: A Journal of the History of Science 78:6-30.
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  47.  1
    Ivor Grattan-Guinness (1990). Does the History of Science Treat of History of Science? The Case of Mathematics. History of Science 28 (80):149-173.
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  48.  23
    Daniel Sutherland (2003). Mathematics and Necessity: Essays in the History of Philosophy (Review). Journal of the History of Philosophy 41 (3):426-427.
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  49.  27
    E. J. Lemmon (1967). Mathematics and Logic in History and Contemporary Thought. Journal of the History of Philosophy 5 (1):98-99.
  50.  9
    Andrew David Irvine (2014). Russell's Unknown Logicism: A Study in the History and Philosophy of Mathematics. History and Philosophy of Logic 35 (2):214-215.
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