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  1. Two Approaches to Foundations in Greek Mathematics: Apollonius and Geminus.Fabio Acerbi - 2010 - Science in Context 23 (2):151-186.
  2. Athār-I-Bāqiya, a History of Arabic MathematicsṢāliḥ Zekī.A. Adnan - 1933 - Isis 19 (3):506-515.
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  3. 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]Jon Agar - 2003 - British Journal for the History of Science 36 (1):87-127.
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  4. How to Read Historical Mathematics. [REVIEW]Amir Alexander - 2011 - British Journal for the History of Science 44 (3):456-458.
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  5. The Imperialist Space of Elizabethan Mathematics.Amir Alexander - 1995 - Studies in History and Philosophy of Science Part A 26 (4):559-591.
    The structural and magnetic properties of Y(Fe1-xMnx)12 compounds and their nitrides (x = 0.2 and 0.4) have been studied by using X-ray diffraction and magnetic measurements. It is found that the lattice parameters increase, while the saturation magnetization and Curie temperature decrease with Mn content increment in Y(Fe1-xMnx12 compounds. Y(Fe0.8Mn0.2)12 compound shows a weak easy-c axis magnetization direction, but Y(Fe0.6Mn0.4)12 compound is in a paramagnetic state at room temperature. Upon nitrogenation, the lattice parameters, Curie temperature are notably increased and the (...)
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  6. On the Origins of Dee's Mathematical Programme: The John Dee–Pedro Nunes Connection.Bruno Almeida - 2012 - 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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  7. Continental Genealogies. Mathematical Confrontations in Albert Lautman and Gaston Bachelard. Translated by Simon B. Duffy and Stephen W. Sawyer.Charles Alunni - 2006 - In Simon B. Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen.
    In October 1984, Bruno Huisman stated with regards to Jean Cavaillès, ‘Let us be honest, or at least realistic: today, one can be a professor of philosophy without ever having read a single line of Cavaillès. Often invoked, sometimes quoted, the oeuvre of Cavaillès is little attended for itself’ (Huisman 1984). As for Albert Lautman, it would seem that the situation is even more extreme. In 1994, the publisher Hermann, under the impetus of Bruno Huisman and George Canguilhem, collected almost (...)
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  8. Joong Fang (1923–2010).Irving H. Anellis - 2010 - Philosophia Mathematica 18 (2):137-143.
    (No abstract is available for this citation).
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  9. Letters.Irving H. Anellis - 1993 - Philosophia Mathematica 1 (1):71-73.
  10. Book-Review.Irving H. Anellis - 1987 - Philosophia Mathematica (1):110-116.
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  11. Report on the Thirteenth Annual Meeting of the Canadian Society for History and Philosophy of Mathematics.Irving H. Anellis - 1987 - Philosophia Mathematica (2):211-223.
  12. The Conference on the History of Mathematics.Irving H. Anellis - 1987 - Philosophia Mathematica (1):123-125.
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  13. Mathematics, a Concise History and Philosophy.W. S. Anglin - 1996 - 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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  14. Methodological Superiority of Aristotle Over Euclid.H. G. Apostle - 1958 - Philosophy of Science 25 (2):131-134.
  15. Aristotle's Philosophy of Mathematics.Hippocrates George Apostle - 1952 - University of Chicago Press.
  16. Mathematics and Philosophy in Nicomachus Gerasenus.K. Demis Apostolos - 1995 - Neusis 2:117-141.
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  17. Alan Turing's Systems of Logic: The Princeton Thesis.Andrew W. Appel (ed.) - 2012 - 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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  18. Jeremy Gray. Plato's Ghost: The Modernist Transformation of Mathematics. Princeton: Princeton University Press, 2008. Isbn 978-0-69113610-3. Pp. VIII + 515. [REVIEW]A. Arana - 2012 - Philosophia Mathematica 20 (2):252-255.
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  19. The Development of Arabic Mathematics: Between Arithmetic and Algebra.A. F. W. Armstrong - 1994 - Boston Studies in the Philosophy of Science 156.
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  20. The Interplay Between Mathematical Practices and Results.Mélissa Arneton, Amirouche Moktefi & Catherine Allamel-Raffin - 2014 - In Léna Soler, Sjoerd Zwart, Michael Lynch & Vincent Israel-Jost (eds.), Science after the Practice Turn in the Philosophy, History, and Social Studies of Science. New York - London: Routledge. pp. 269-276.
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  21. [Inverted Form of Greek Symbol Delta]-Structures, Abstract Algebras and Structural Analysis.K. Ashton - 1972 - Auckland, N.Z., University of Auckland, Dept. Of Mathematics.
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  22. History and Philosophy of Modern Mathematics.William Aspray & Philip Kitcher - 1988
  23. 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]Shigeyuki Atarashi - 2015 - Philosophia Mathematica 23 (1):148-152.
  24. Mathematics and Philosophy. Translated by Simon B. Duffy.Alain Badiou - 2006 - In Simon B. Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen.
    In order to address to the relation between philosophy and mathematics it is first necessary to distinguish the grand style and the little style. The little style painstakingly constructs mathematics as the object for philosophical scrutiny. It is called the little style for a precise reason, because it assigns mathematics to the subservient role of that which supports the definition and perpetuation of a philosophical specialisation. This specialisation is called the ‘philosophy of mathematics’, where the ‘of’ is objective. The philosophy (...)
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  25. Review: Stewart Shapiro, Thinking About Mathematics. The Philosophy of Mathematics. [REVIEW]Mark Balaguer - 2002 - Bulletin of Symbolic Logic 8 (1):89-91.
  26. Empiricism as a Historical Phenomenon of Philosophy of Mathematics.A. Barabashev - 1988 - Revue Internationale de Philosophie 42 (167):509-517.
  27. On the Impact of the World Outlook on Mathematical Creativity.A. G. Barabashev - 1988 - Philosophia Mathematica (1):1-20.
  28. Regularities and Modern Tendencies of the Development of Mathematics.A. G. Barabashev, S. S. Demidov & M. I. Panov - 1987 - Philosophia Mathematica (1):32-47.
  29. The Philosophy of Mathematics in U.S.S.R.Alexei G. Barabashev - 1986 - Philosophia Mathematica (1-2):15-25.
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  30. Lautman.Emmanuel Barot - 2009 - Les Belles Lettres.
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  31. On the Concepts of Function and Dependence.André Bazzoni - 2015 - 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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  32. The Development of Mathematics.E. T. Bell - 1941 - Journal of Philosophy 38 (5):137-138.
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  33. Bolzano's Logic.Jan Berg - 1962 - Stockholm, Almqvist & Wiksell.
  34. Das Fotoalbum Fur Weierstrass. A Photo Album for Weierstrass.R. Bolling & I. Grattan-Guinness - 1995 - Annals of Science 52 (5):527-527.
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  35. Leopold Kronecker's Conception of the Foundations of Mathematics.Jacqueline Boniface - 2005 - Philosophia Scientiae 9 (S2):143-156.
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  36. The Teacher as Mathematician: Problem Solving for Today's Social Context.Holly Brewster - unknown
    A current trend in social justice oriented education research is the promotion of certain intellectual virtues that support epistemic responsibility, or differently put, the dispositions necessary to be a good knower. On the surface, the proposition of epistemically responsible teaching, or teaching students to be responsible knowers is innocuous, even banal. In the mathematics classroom, however, it is patently at odds with current practice and with the stated goals of mathematics education. This dissertation begins by detailing the extant paradigm in (...)
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  37. Ten Misconceptions From the History of Analysis and Their Debunking.Piotr Błaszczyk, Mikhail G. Katz & David Sherry - 2013 - 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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  38. Early Mathematics Education.Stephen Campbell - 2002 - Philosophy of Mathematics Education Journal 15.
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  39. Discorsi e dimostrazioni matematiche intorno a due nuove scienze (1638).Adriano Carugo & Ludovico Geymonat (eds.) - 1958 - Einaudi.
  40. The Place of Mathematics in Education.Paul Carus - 1905 - The Monist 15 (2):295-300.
  41. The Origin of the Logic of Symbolic Mathematics. Edmund Husserl and Jacob Klein.Stefania Centrone - 2013 - History and Philosophy of Logic 34 (2):187-193.
  42. Chinese Mathematics. A Concise History. [REVIEW]Karine Chemla - 1990 - British Journal for the History of Science 23 (4):493-495.
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  43. History of Mathematics in Mathematics Teacher Education.Kathleen M. Clark - 2014 - In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer. pp. 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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  44. Supporting a Discourse About Incommensurable Theoretical Perspectives in Mathematics Education.Paul Cobb - 2006 - Philosophy of Mathematics Education Journal 19.
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  45. Myths and Mathematics in Our Vision of the World.Mark Colyvan - 2005 - 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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  46. Corcoran Reviews Boute’s 2013 Paper “How to Calculate Proofs”.John Corcoran - 2014 - 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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  47. Review of Simon B. Duffy (Ed.) Virtual Mathematics: The Logic of Difference (Clinamen, 2006). [REVIEW]Alexis de Saint-Ours - 2007 - Cahiers Critiques de Philosophie 3:224-9.
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  48. Review of J. Folina, Poincare and the Philosophy of Mathematics[REVIEW]Michael Detlefsen - 1995 - Philosophia Mathematica 3 (2):208-218.
  49. Second-Order Models of Students' Mathematics: Delving Into Possibilities.T. Dooley - 2014 - Constructivist Foundations 9 (3):346-348.
    Open peer commentary on the article “Constructivist Model Building: Empirical Examples From Mathematics Education” by Catherine Ulrich, Erik S. Tillema, Amy J. Hackenberg & Anderson Norton. Upshot: I look at the different possibilities offered by the trajectory of second-order models in mathematics education. It seems to me that although possibilities are extended as models become more elaborate, this is only the case if teacher/researchers remain cognisant of a radical constructivist perspective. I also suggest that broad-ranging research on the models affords (...)
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  50. Deleuze and the History of Mathematics: In Defense of the New.Simon B. Duffy - 2013 - Bloomsbury Academic.
    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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