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

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  1. W. S. Anglin (1996). Mathematics, a Concise History and Philosophy. Springer.score: 156.0
    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. José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.score: 156.0
    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. Bart Van Kerkhove (ed.) (2009). New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. [REVIEW] World Scientific.score: 138.0
    This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics.
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  4. Roman Murawski (2010). Essays in the Philosophy and History of Logic and Mathematics. Rodopi.score: 132.0
  5. Anne Rooney (2013). The History of Mathematics. Rosen Pub..score: 132.0
     
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  6. 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.score: 120.0
  7. I. Grattan-Guinness (ed.) (1994). Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge.score: 120.0
    The Companion Encyclopedia is the first comprehensive work to cover all the principal lines and themes of the history and philosophy of mathematics from ancient times up to the twentieth century. In 176 articles contributed by 160 authors of 18 nationalities, the work describes and analyzes the variety of theories, proofs, techniques, and cultural and practical applications of mathematics. The work's aim is to recover our mathematical heritage and show the importance of mathematics today by treating (...)
     
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  8. Roman Murawski (2011). Logos and Máthēma: Studies in the Philosophy of Mathematics and History of Logic. Peter Lang.score: 120.0
  9. Simon B. Duffy (2013). Deleuze and the History of Mathematics: In Defense of the New. Bloomsbury.score: 108.0
    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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  10. Donald Gillies (ed.) (1992). Revolutions in Mathematics. Oxford University Press.score: 102.0
    Social revolutions--that is critical periods of decisive, qualitative change--are a commonly acknowledged historical fact. But can the idea of revolutionary upheaval be extended to the world of ideas and theoretical debate? The publication of Kuhn's The Structure of Scientific Revolutions in 1962 led to an exciting discussion of revolutions in the natural sciences. A fascinating, but little known, off-shoot of this was a debate which began in the United States in the mid-1970's as to whether the concept of revolution could (...)
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  11. Stuart Shanker (ed.) (1996). Philosophy of Science, Logic, and Mathematics in the Twentieth Century. Routledge.score: 102.0
    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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  12. David Reed (1995). Figures of Thought: Mathematics and Mathematical Texts. Routledge.score: 102.0
    Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to (...)
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  13. T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..score: 102.0
    In this book, which is both a philosophical and historiographical study, the author investigates the fallibility and the rationality of mathematics by means of rational reconstructions of developments in mathematics. The initial chapters are devoted to a critical discussion of Lakatos' philosophy of mathematics. In the remaining chapters several episodes in the history of mathematics are discussed, such as the appearance of deduction in Greek mathematics and the transition from Eighteenth-Century to Nineteenth-Century analysis. The (...)
     
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  14. John Mumma & Marco Panza (2012). Diagrams in Mathematics: History and Philosophy. Synthese 186 (1):1-5.score: 96.0
    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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  15. Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393 - 407.score: 96.0
    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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  16. Douglas Jesseph (1990). Rigorous Proof and the History of Mathematics: Comments on Crowe. Synthese 83 (3):449 - 453.score: 96.0
    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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  17. András Máté (2006). Árpád Szabó and Imre Lakatos, or the Relation Between History and Philosophy of Mathematics. Perspectives on Science 14 (3):282-301.score: 96.0
    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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  18. Michael Stolz (2002). The History of Applied Mathematics and the History of Society. Synthese 133 (1-2):43 - 57.score: 96.0
    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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  19. Leonid Grinin, Peter Herrmann, Andrey Korotayev & Arno Tausch (eds.) (2010). History & Mathematics: Processes and Models of Global Dynamics.score: 96.0
    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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  20. 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. Logic and Logical Philosophy 17 (4):353-357.score: 96.0
    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 (imprint: North-Holland), 2000, ISBN-13: 978-0444503343, ISBN-10: 0-444-50334-X, 625~pp.
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  21. 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: 96.0
    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 on (...)
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  22. Alonzo Church (1975). Review: E. R. Kiely, Mathematics, History Of. [REVIEW] Journal of Symbolic Logic 40 (4):597-598.score: 90.0
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  23. 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.score: 90.0
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  24. Paolo Mancosu (1996). Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. Oxford University Press.score: 84.0
    The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmatic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting (...)
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  25. Paolo Mancosu (2010). The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940. Oxford University Press.score: 84.0
    At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of .
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  26. 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.score: 84.0
    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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  27. I. Grattan-Guinness (2011). Omnipresence, Multipresence and Ubiquity: Kinds of Generality in and Around Mathematics and Logics. [REVIEW] Logica Universalis 5 (1):21-73.score: 84.0
    A prized property of theories of all kinds is that of generality, of applicability or least relevance to a wide range of circumstances and situations. The purpose of this article is to present a pair of distinctions that suggest that three kinds of generality are to be found in mathematics and logics, not only at some particular period but especially in developments that take place over time: ‘omnipresent’ and ‘multipresent’ theories, and ‘ubiquitous’ notions that form dependent parts, or moments, (...)
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  28. Arran Gare (2005). Mathematics, Explanation and Reductionism: Exposing the Roots of the Egyptianism of European Civilization. Cosmos and History: The Journal of Natural and Social Philosophy 1 (1):54-89.score: 84.0
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  29. Paolo Mancosu (ed.) (1998). From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s. Oxford University Press.score: 84.0
    From Brouwer To Hilbert: The Debate on the Foundations of Mathematics in the 1920s offers the first comprehensive introduction to the most exciting period in the foundation of mathematics in the twentieth century. The 1920s witnessed the seminal foundational work of Hilbert and Bernays in proof theory, Brouwer's refinement of intuitionistic mathematics, and Weyl's predicativist approach to the foundations of analysis. This impressive collection makes available the first English translations of twenty-five central articles by these important contributors (...)
     
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  30. Dominic J. O'Meara (1989). Pythagoras Revived: Mathematics and Philosophy in Late Antiquity. Oxford University Press.score: 80.0
    The Pythagorean idea that numbers are the key to understanding reality inspired philosophers in late Antiquity (4th and 5th centuries A.D.) to develop theories in physics and metaphysics based on mathematical models. This book draws on some newly discovered evidence, including fragments of Iamblichus's On Pythagoreanism, to examine these early theories and trace their influence on later Neoplatonists (particularly Proclus and Syrianus) and on medieval and early modern philosophy.
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  31. 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.score: 78.0
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  32. Teun Koetsier (2011). Routes of Learning: Highways, Pathways and Byways in the History of Mathematics. History and Philosophy of Logic 31 (3):293-295.score: 78.0
  33. E. J. Lemmon (1967). Mathematics and Logic in History and Contemporary Thought. Journal of the History of Philosophy 5 (1):98-99.score: 78.0
  34. Daniel Sutherland (2003). Mathematics and Necessity: Essays in the History of Philosophy (Review). Journal of the History of Philosophy 41 (3):426-427.score: 78.0
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  35. 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.score: 78.0
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  36. Michael J. Crowe (1990). Duhem and History and Philosophy of Mathematics. Synthese 83 (3):431 - 447.score: 78.0
    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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  37. William Tait (2005). The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History. OUP USA.score: 78.0
    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 Gödel. Tait's main contributions were initially in proof theory and constructive mathematics, later moving on to more philosophical subjects including finitism and skepticism (...)
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  38. 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.score: 78.0
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  39. Annette Vogt (1994). Symposium “History of Mathematics and Mathematics Teaching” Zum 60. Geburtstag von Jaroslav Folta, 2. Bis 4. April 1993 in BRD0/Bei Manetin (CSR). [REVIEW] NTM International Journal of History and Ethics of Natural Sciences, Technology and Medicine 2 (1):53-55.score: 78.0
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  40. James Steven Byrne (2006). A Humanist History of Mathematics? Regiomontanus's Padua Oration in Context. Journal of the History of Ideas 67 (1):41-61.score: 78.0
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  41. Tony Mann (forthcoming). The History of the History of Mathematics: Case Studies for the Seventeenth, Eighteenth and Nineteenth Centuries. Intellectual History Review:1-2.score: 78.0
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  42. Elena Ausejo & Mariano Hormigón (1999). The History of Mathematics in Spain. Ntm International Journal of History and Ethics of Natural Sciences, Technology & Medicine 7 (1):13-20.score: 78.0
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  43. I. Grattan-Guinness (2004). Decline, Then Recovery: An Overview of Activity in the History of Mathematics During the Twentieth Century. History of Science 42:279-312.score: 78.0
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  44. 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: 78.0
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  45. Martina Bečvářová (2004). Czech Project in History of Mathematics. Ntm International Journal of History and Ethics of Natural Sciences, Technology & Medicine 12 (1):40-48.score: 78.0
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  46. E. Robson (2003). Satisfaction, Subversion, and the Reluctant Reader: Some Thoughts on Writing Accessible History of Ancient Mathematics - Ancient Mathematics Serafina Cuomo; Routledge, London and New York, 2001, Pp. XII+290, Price £50.00 Hardback, ISBN 0-415-16495-8, £16.99 Paperback. [REVIEW] Studies in History and Philosophy of Science Part A 34 (2):423-429.score: 78.0
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  47. J. W. Dauben (2008). W. TAIT, The Provenance of Pure Reason. Essays in the Philosophy of Mathematics and its History. New York: Oxford University Press, 2005. Ix Þ 332 Pp.£ 36.50. ISBN 0-19-514192-X. [REVIEW] History and Philosophy of Logic 183:193.score: 78.0
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  48. Howard Whitley Eves (1965). An Introduction to the Foundations and Fundamental Concepts of Mathematics. New York, Holt, Rinehart and Winston.score: 78.0
     
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  49. Lucienne Félix (1960). The Modern Aspect of Mathematics. New York, Basic Books.score: 78.0
     
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