Publications 2018

  • Beller, Sieghard, Andrea Bender, Stephen Chrisomalis, Fiona M. Jordan, Karenleigh A. Overmann, Geoffrey B. Saxe, and Dirk Schlimm “The cultural challenge in mathematical cogniton,” Journal of Numerical Cognition 4, no. 2 (2018): 448–463. https://jnc.psychopen.eu/article/view/137
  • Bellucci, Francesco, Amirouche Moktefi, and Ahti-Veikko Pietarinen. “Simplex sigillum veri: Peano, Frege and Peirce on the primitives of logic.” History & Philosophy of Logic 39, no. 1 (2018): 80-95 https://doi.org/10.1080/01445340.2017.1358414
  • Carter, Jessica, “Exploring the Fruitfulness of Diagrams in Mathematics,” Synthese (2018)
    https://doi.org/10.1007/s11229-017-1635-1
  • Carter, Jessica, “Philosophy of Mathematical Practice – Motivations, Themes and Prospects,” Philosophia Mathematica 27 (2019):1-32
  • Cellucci, Carlo, “Definition in Mathematics,” European Journal for Philosophy of Science, 8 (2018), pp. 605-629.
  • Cellucci, Carlo, “Diagrams in Mathematics,” Foundations of Science
  • Cellucci, Carlo, “Philosophy at Crossroads: Escaping from Irrelevance,” Syzetesis 5 (2018), pp. 13-53.
  • Chapman, Peter, et al., eds. Diagrammatic Representation and Inference. Berlin – Heidelberg: Springer, 2018 https://link.springer.com/book/10.1007/978-3-319-91376-6
  • Coessens, Kathleen, François, Karen & Van Bendegem, Jean Paul (2018). Math and Music: Slow and Not For Profit. In P. Smeyers, & M. Depaepe (eds.). Educational Research: Ethics, Social Justice, and Funding Dynamics Vol. 10, (pp. 73-90). Cham, Switzerland: Springer. (ISBN 978-3-319-73920-5)
  • Fillion, N. and Moir, R (2018). “Explanation and abstraction from a backward-error analytic perspective,” European Journal for the Philosophy of Science, 8(3), pp.~735-759.
  • Fillion, N., Corless, R.M., and Kotsireas, I. (Eds). Algorithms and complexity in mathematics, epistemology, and science, Fields Institute Communications, Springer, 2019. https://www.springer.com/us/book/9781493990504
  • Francesco Bellucci, Amirouche Moktefi & Ahti-Veikko Pietarinen, eds. History & Philosophy of Logical Notation. Special issue of History & Philosophy of Logic 39, no. 1, 2018 https://www.tandfonline.com/toc/thpl20/39/1
  • François, K., Mafra, J.R.S, Fantinato, M.C. & Vandendriessche, E. (2018). Local Mathematics Education: The implementation of local mathematical practices into the mathematics curriculum. Philosophy of Mathematics Education Journal, 33, 1-18. ISSN 1465-2978 (Online) http://socialsciences.exeter.ac.uk/education/research/centres/stem/publications/pmej/pome33/index.html
  • François, Karen & Pinxten, Rik (2017). Multimathemacy: Time to reset? In A. Chronaki (ed.) Mathematics education and life at times of crisis. Proceedings of the Ninth International Mathematics Education and Society Conference –MES– Vol. 2 (pp. 480-490). Book Series: Mathematics Education and Society. Volos, Greece, April 7-12, 2017. ISBN: 978 960 9439 49 7.
  • François, Karen; Coessens, Kathleen & Van Bendegem, Jean Paul (2018). We’re (not) only in it for the money (Frank Zappa). The financial structure of STEM and STEAM research. In P. Smeyers, & M. Depaepe (eds.). Educational Research: Ethics, Social Justice, and Funding Dynamics Vol. 10, (pp. 261-274). Cham, Switzerland: Springer. (ISBN 978-3-319-73920-5)
  • Friend, Michèle 2018 ‘Remarks of a Philosopher of Mathematics and Science; Commentary on Louis Kauffman’s “Cybernetics, Reflexivity and Second-Order Science”. In Alexander Riegler, (ed.) New Horizons for Second-Order Cybernetics. Series on Knots and Everything, Vol. 60. Alexander Riegler, Karl H. Müller & Stuart A. Umpleby (Series Eds.) World Scientific, pp. 327 – 333.
  • Friend, Michèle, del Rosario Martínez-Ordaz, Maria. (2018) ‘Keeping Globally Inconsistent Scientific Theories Locally Consistent’ In Walter Carnielli and Jacek Malinowski (eds.) Contradictions, From Consistency to Inconsistency. Trends in Logic 47. Springer Nature Switzerland. pp. 53 – 89.
  • Friend, Michèle. 2017 “Inconsistency in Mathematics and Chemistry”, invited submission to a special issue of HumanaMente Vol. 32 The Special Issue is: Beyond toleration? Inconsistency and pluralism in the empirical sciences. (Luis Estrada-González and María del Rosario Martínez-Ordaz eds.) ISSN: 1972 – 1293. pp. 31 – 51.
  • Friend, Michèle. 2017. Mathematical Theories as Models. Humanizing Mathematics and its Philosophy; Essays Celebrating the 90th Birthday of Reuben Hersh. Bharath Sriraman (Ed.) Birkhäuser. DOI 10.1007/978-3-319-61231-7_21
  • Friend, Michèle. 2017. Varieties of Pluralism and Objectivity in Mathematics, in Mathematical Pluralism, Special Issue of the Journal of the Indian Council of Philosophical Research, Mihir Chakraborty and Michèle Friend (Guest Editors) Springer. JICPR Vol. 34.2 pp. 425 – 442. DOI 10.1007/s40961-061-0085-3. ISSN: 0970-7794. pp. 425 – 442.
  • Gutierrez, Rochelle, “Mathematx: Towards a way of being.” In Subramanian, J. (Ed.), Proceedings of the 10th International Mathematics Education and Society conference. Hyderabad, India. (2019)
  • Hellman, Geoffrey and Shapiro, Stewart, Mathematical Structuralism (Cambridge UP, 2019).
  • Hellman, Geoffrey and Shapiro, Stewart, Varieties of Continua: from Regions to Points and Back (Oxford UP, 2018).
  • Islami, Arezoo, “A Complex Problem for Formalists,” Journal of Applied Logics, 2018 http://www.collegepublications.co.uk/ifcolog/?00026
  • Islami, Arezoo, “An Intriguing New Development of Husserl’s Project.” Metascience, 2018 https://link.springer.com/epdf/10.1007/s11016-018-0356-5?author_access_token=47I9k0OOxTyGl-w1rlNnbfe4RwlQNchNByi7wbcMAY7ww7tunElgSkWhPA1iX6ifsogzqcfLNSMvGyBultQOmnH4zrnuatjSNiSVE8AgAqGihUxXQ_u8i-EtEOskYPjflj7JUSZKufyWnp15MkipGQ%3D%3D
  • J. Ferreirós. On the Semantics of Higher-order Logic. In F. Bertato (ed.), (Un-)Certainty and (In-)Exactness. Coleção CLE/Aracne Editrice, 2018 http://www.aracneeditrice.it/index.php/pubblicazione.html?item=9788825514513
  • J. Ferreirós. The role of Abbildungen in Dedekind’s late work. In: K. Scheel, T. Sonar, P. Ullrich (eds.), In Memoriam Richard Dedekind, Münster, WTM Verlag, 2017. 160-173.
  • J. Ferreirós. Wigner’s ‘Unreasonable Effectiveness’ in Context. The Mathematical Intelligencer 39(2), 2017, 64-71.
  • Larvor Brendan “Why ‘scaffolding’ is the wrong metaphor: the cognitive usefulness of mathematical representations.” Synthese. 2018 https://doi.org/10.1007/s11229-018-02039-y
  • Larvor, Brendan and François, Karen, “The concept of Culture in Critical Mathematics Education”. in P Ernest (ed.), Philosophy of Mathematics Education Today. Springer Verlag, Cham, Switzerland, (2018): 163-176.
  • Legg, Catherine. “The Epistemology of Mathematical Necessity.” Proceedings of Diagrammatic Representation and Inference: 10th International Conference, DIAGRAMS2018, Edinburgh, UK, (June 2018), Springer.
  • Marquis, Jean-Pierre. “A View from Space: the foundations of Mathematics.” in The Map and the Territory, edited by Shyam Wuppuluri & F. A. Doria, 357-375. New York: Springer, 2018.
  • Marquis, Jean-Pierre. “Canonical Maps.” in Categories for the Working Philosopher, edited by Elaine Landry, 90-112. Oxford: Oxford University Press, 2018.
  • Marquis, Jean-Pierre. “Mathematical Structures: behind and beyond.” Canadian Mathematical Society Notes 50, no. 2 (2018): 16-17.
  • Marquis, Jean-Pierre. “Unfolding FOLDS: a foundational framework for abstract mathematical concepts.” in Categories for the Working Philosopher, edited by Elain
  • Landry, 136-162. Oxford: Oxford University Press. 2018.
    MONOGRAPHIC SECTION From basic cognition to mathematical practice. Editors María de Paz & J. Ferreirós. Theoria Vol 33, No 2 (2018)
  • Oliveira, S., Carvalho, L., Monteiro, C. & François, K. (2018). Collaboration with Xukuru teachers: Reflecting about statistics education at indigenous schools. Revista de Educação Matemática e Tecnológica Iberoamericana, 9(2), 1-15. Online available: https://periodicos.ufpe.br/revistas/emteia/article/view/237665
  • Priest, Greg, Silvia De Toffoli, and Paula Findlen, “Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present,” Endeavour 42 (2018): 49-59. https://doi.org/10.1016/j.endeavour.2018.07.001
  • Queiroz, T., Monteiro, C., Carvalho, L. & François, K. (2017). Interpretation of statistical data: The importance of affective expressions. SERJ – Statistics Education Research Journal 16(1) 163-180.
  • Schlimm, Dirk, “Numbers through numerals. The constitutive role of external representations.” In Naturalizing Logico-Mathematical Knowledge: Approaches from Psychology and Cognitive Science, edited by Sorin Bangu, 195–217. New York: Routledge, 2018.
  • Schlimm, Dirk, “On Frege’s Begriffsschrift notation for propositional logic: Design principles and trade-offs,” History and Philosophy of Logic 39, no. 1 (2018): 53–79. https://www.tandfonline.com/doi/full/10.1080/01445340.2017.1317429
  • Stapleton, Gem, Amirouche Moktefi, John Howse, and Jim Burton. “Euler diagrams through the looking glass: From extent to intent.” In Diagrammatic Representation and Inference, edited by Peter Chapman et al. (Berlin – Heidelberg: Springer, 2018), 365-381 https://doi.org/10.1007/978-3-319-91376-6_34
  • Thomas, Robert S.D. “The definitions and theorems of the Spherics of Theodosios.”, In Research in History and Philosophy of Mathematics: The CSHPM 2017 Annual Meeting in Toronto, Ontario, edited by Dirk Schlimm and Maria Zack. 1–21. Boston: Birkhäuser, 2018. https://doi.org/10.1007/978-3-319-90983-7_1
  • Thomas, Robert S.D.eAn appreciation of the first book of Spherics.” Mathematics Magazine 91 (2018): 3–15. https://doi.org/10.1080/0025570X.2017.1404798.
  • Vandendriessche, E., Mafra, J.R.S., Fantinato, M.C. & François, K . (2017). How Local Are Local People? Beyond Exoticism. In A. Chronaki (ed.) Mathematics education and life at times of crisis. Proceedings of the Ninth International Mathematics Education and Society Conference –MES– Vol 2. (pp. 956-967). Book Series: Mathematics Education and Society. Volos, Greece, April 7-12, 2017. ISBN: 978 960 9439 49 7.
  • Zack, Maria and Dirk Schlimm eds., Research in History and Philosophy of Mathematics: The CSHPM 2017 Annual Meeting in Toronto, Ontario. Proceedings of the Canadian Society for History and Philosophy of Mathematics. New York: Birkhäuser, 201.