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  1. Fabio Acerbi (2010). Two Approaches to Foundations in Greek Mathematics: Apollonius and Geminus. Science in Context 23 (2):151-186.
  2. Jon Agar (2003). Rockefeller and the Internationalization of Mathematics Between the Two World Wars: Documents and Studies for the Social History of Mathematics in the 20th Century. [REVIEW] British Journal for the History of Science 36 (1):87-127.
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  3. Amir Alexander (2011). How to Read Historical Mathematics. [REVIEW] British Journal for the History of Science 44 (3):456-458.
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  4. Amir Alexander (1995). The Imperialist Space of Elizabethan Mathematics. Studies in History and Philosophy of Science Part A 26 (4):559-591.
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  5. Bruno Almeida (2012). On the Origins of Dee's Mathematical Programme: The John Dee–Pedro Nunes Connection. Studies in History and Philosophy of Science Part A 43 (3):460-469.
    In a letter addressed to Mercator in 1558, John Dee made an odd announcement, describing the Portuguese mathematician and cosmographer Pedro Nunes as the ‘most learned and grave man who is the sole relic and ornament and prop of the mathematical arts among us’, and appointing him his intellectual executor. This episode shows that Dee considered Nunes one of his most distinguished contemporaries, and also that some connection existed between the two men. Unfortunately not much is known about this connection, (...)
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  6. Charles Alunni (2006). Continental Genealogies. Mathematical Confrontations in Albert Lautman and Gaston Bachelard. Translated by Simon B. Duffy and Stephen W. Sawyer. In Simon B. Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen
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  7. Irving H. Anellis (2010). Joong Fang (1923–2010). Philosophia Mathematica 18 (2):137-143.
    (No abstract is available for this citation).
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  8. Irving H. Anellis (1993). Letters. Philosophia Mathematica 1 (1):71-73.
  9. Irving H. Anellis (1987). Book-Review. Philosophia Mathematica (1):110-116.
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  10. Irving H. Anellis (1987). Report on the Thirteenth Annual Meeting of the Canadian Society for History and Philosophy of Mathematics. Philosophia Mathematica (2):211-223.
  11. Irving H. Anellis (1987). The Conference on the History of Mathematics. Philosophia Mathematica (1):123-125.
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  12. 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 explanations of the important mathematical procedures (...)
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  13. H. G. Apostle (1958). Methodological Superiority of Aristotle Over Euclid. Philosophy of Science 25 (2):131-134.
  14. Hippocrates George Apostle (1952). Aristotle's Philosophy of Mathematics. [Chicago]University of Chicago Press.
  15. K. Demis Apostolos (1995). Mathematics and Philosophy in Nicomachus Gerasenus. Neusis 2:117-141.
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  16. Andrew W. Appel (ed.) (2012). Alan Turing's Systems of Logic: The Princeton Thesis. Princeton University Press.
    Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing, the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world--including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene--were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. (...)
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  17. A. Arana (2012). Jeremy Gray. Plato's Ghost: The Modernist Transformation of Mathematics. Princeton: Princeton University Press, 2008. Isbn 978-0-69113610-3. Pp. VIII + 515. [REVIEW] Philosophia Mathematica 20 (2):252-255.
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  18. A. F. W. Armstrong (1994). The Development of Arabic Mathematics: Between Arithmetic and Algebra. Boston Studies in the Philosophy of Science 156.
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  19. K. Ashton (1972). [Inverted Form of Greek Symbol Delta]-Structures, Abstract Algebras and Structural Analysis. Auckland, N.Z.,University of Auckland, Dept. Of Mathematics.
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  20. William Aspray & Philip Kitcher (1988). History and Philosophy of Modern Mathematics. Monograph Collection (Matt - Pseudo).
  21. Shigeyuki Atarashi (2015). Alison Walsh. Relations Between Logic and Mathematics in the Work of Benjamin and Charles S. Peirce. Boston: Docent Press, 2012. ISBN 978-098370046-3 . Pp. X + 314. [REVIEW] Philosophia Mathematica 23 (1):148-152.
  22. R. S. B. (1959). Das Mathematische Denken der Antike. Review of Metaphysics 12 (4):662-662.
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  23. Alain Badiou (2006). Mathematics and Philosophy. Translated by Simon B. Duffy. In Simon B. Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen
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  24. Mark Balaguer (2002). Review: Stewart Shapiro, Thinking About Mathematics. The Philosophy of Mathematics. [REVIEW] Bulletin of Symbolic Logic 8 (1):89-91.
  25. A. Barabashev (1988). Empiricism as a Historical Phenomenon of Philosophy of Mathematics. Revue Internationale de Philosophie 42 (167):509-517.
  26. A. G. Barabashev (1988). On the Impact of the World Outlook on Mathematical Creativity. Philosophia Mathematica (1):1-20.
  27. A. G. Barabashev, S. S. Demidov & M. I. Panov (1987). Regularities and Modern Tendencies of the Development of Mathematics. Philosophia Mathematica (1):32-47.
  28. Alexei G. Barabashev (1986). The Philosophy of Mathematics in U.S.S.R. Philosophia Mathematica (1-2):15-25.
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  29. Emmanuel Barot (2009). Lautman. Les Belles Lettres.
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  30. André Bazzoni (2015). On the Concepts of Function and Dependence. Principia: An International Journal of Epistemology 19 (1):01-15.
    This paper briefly traces the evolution of the function concept until its modern set theoretic definition, and then investigates its relationship to the pre-formal notion of variable dependence. I shall argue that the common association of pre-formal dependence with the modern function concept is misconceived, and that two different notions of dependence are actually involved in the classic and the modern viewpoints, namely effective and functional dependence. The former contains the latter, and seems to conform more to our pre-formal conception (...)
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  31. E. T. Bell (1941). The Development of Mathematics. Journal of Philosophy 38 (5):137-138.
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  32. Jan Berg (1962). Bolzano's Logic. Stockholm, Almqvist & Wiksell.
  33. Piotr Błaszczyk, Mikhail G. Katz & David Sherry (2013). Ten Misconceptions From the History of Analysis and Their Debunking. Foundations of Science 18 (1):43-74.
    The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number systems. The elimination claim is an oversimplification created by triumvirate followers, who tend to view the history of analysis as a pre-ordained march toward the radiant future of Weierstrassian epsilontics. In the present text, we document distortions of the history of analysis stemming from the triumvirate ideology of ontological minimalism, which identified the continuum (...)
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  34. Adriano Carugo & Ludovico Geymonat (eds.) (1958). Discorsi e dimostrazioni matematiche intorno a due nuove scienze (1638). Einaudi.
  35. Stefania Centrone (2013). The Origin of the Logic of Symbolic Mathematics. Edmund Husserl and Jacob Klein. History and Philosophy of Logic 34 (2):187-193.
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  36. Kathleen M. Clark (2014). History of Mathematics in Mathematics Teacher Education. In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer 755-791.
    The purpose of this chapter is to provide a broad view of the state of the field of history of mathematics in education, with an emphasis on mathematics teacher education. First, an overview of arguments that advocate for the use of history in mathematics education and descriptions of the role that history of mathematics has played in mathematics teacher education in the United States and elsewhere is given. Next, the chapter details several examples of empirical studies that were conducted with (...)
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  37. Mark Colyvan (2005). Myths and Mathematics in Our Vision of the World. Australian Review of Public Affairs.
    There was a time when science, myth, and religion were one. Our best theories of the world were a strange mixture of demons, gods, magic, and mathematics. The Babylonians believed in gods and a universe consisting of six disks. Early Christians believed that a single god created the universe in seven days. And Plato believed that the world we see is an imperfect shadow of the real world of forms and numbers.
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  38. John Corcoran (2014). Corcoran Reviews Boute’s 2013 Paper “How to Calculate Proofs”. MATHEMATICAL REVIEWS 14:444-555.
    Corcoran reviews Boute’s 2013 paper “How to calculate proofs”. -/- There are tricky aspects to classifying occurrences of variables: is an occurrence of ‘x’ free as in ‘x + 1’, is it bound as in ‘{x: x = 1}’, or is it orthographic as in ‘extra’? The trickiness is compounded failure to employ conventions to separate use of expressions from their mention. The variable occurrence is free in the term ‘x + 1’ but it is orthographic in that term’s quotes (...)
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  39. Alexis de Saint-Ours (2007). Review of Simon B. Duffy (Ed.) Virtual Mathematics: The Logic of Difference (Clinamen, 2006). [REVIEW] Cahiers Critiques de Philosophie 3:224-9.
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  40. Michael Detlefsen (1995). Review of J. Folina, Poincare and the Philosophy of Mathematics. [REVIEW] Philosophia Mathematica 3 (2):208-218.
  41. 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 of Deleuze’s philosophy, (...)
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  42. Simon B. Duffy (2012). The Question of Deleuze’s Neo-Leibnizianism. In Patricia Pisters, Rosi Braidotti & Alan D. Schrift (eds.), Down by Law: Revisiting Normativity with Deleuze. Bloomsbury
    Much has been made of Deleuze’s Neo-Leibnizianism,3 however not very much detailed work has been done on the specific nature of Deleuze’s critique of Leibniz that positions his work within the broader framework of Deleuze’s own philo- sophical project. The present chapter undertakes to redress this oversight by providing an account of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold. Deleuze provides a systematic account of the structure of Leibniz’s metaphys- ics in terms of its mathematical underpinnings. (...)
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  43. Simon B. Duffy (2006). The Mathematics of Deleuze’s Differential Logic and Metaphysics. In Virtual Mathematics: the logic of difference. Clinamen
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  44. Massa Esteve & Maria Rosa (2012). The Role of Symbolic Language in the Transformation of Mathematics. Philosophica 87.
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  45. Brandon Fogel (2009). Review of Hermann Weyl, Mind and Nature: Selected Writings on Philosophy, Mathematics, and Physics. [REVIEW] Notre Dame Philosophical Reviews 2009 (11).
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  46. Jonh A. Fossa (2010). Review of I. Grattan-Guiness, The Norton History of the Mathematical Sciences: The Rainbow Of Mathematics. [REVIEW] Princípios 6 (7):133-134.
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  47. James Franklin (2000). Diagrammatic Reasoning and Modelling in the Imagination: The Secret Weapons of the Scientific Revolution. In Guy Freeland & Anthony Corones (eds.), 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution. Kluwer
    Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.
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  48. Michael N. Fried (2014). History of Mathematics in Mathematics Education. In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer 669-703.
    This paper surveys central justifications and approaches adopted by educators interested in incorporating history of mathematics into mathematics teaching and learning. This interest itself has historical roots and different historical manifestations; these roots are examined as well in the paper. The paper also asks what it means for history of mathematics to be treated as genuine historical knowledge rather than a tool for teaching other kinds of mathematical knowledge. If, however, history of mathematics is not subordinated to the ideas and (...)
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  49. Ludovico Geymonat (2008). Storia E Filosofia Dell'analisi Infinitesimale (1945-1949). Bollati Boringhieri.
  50. Ludovico Geymonat (1980). Traduzione di Bertrand Russell, I principi della matematica. Longanesi.
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