Literature

As discussed at our 2015 Paris meeting, we list recent publications of APMP members on our webpage to showcase the work that is currently being done on the philosophy of mathematical practice. Publications are eligible to be listed if they meet the following criteria:
a) Any APMP member can suggest to list a publication (paper, book, edited volume), also their own.
b) At least one of the authors or book editors must be a member of APMP.
c) The work was published within the past two years.
d) The topic of the work falls within the interests of APMP.

If you’d like to suggest a publication (book/article) please send the full bibliographic information (possibly including a link for downloading it) to our secretary.

2016 Members’ Publications

● Andrew Aberdein. Commentary on Andrzej Kisielewicz, A new approach to argumentation and reasoning based on mathematical practice. In Argumentation and Reasoned Action: Proceedings of the First European Conference on Argumentation, Lisbon, 9–12 June 2015, Dima Mohammed & Marcin Lewinski, edd. (London: College Publications, 2016), vol. 1, pp. 287–292. Online: http://my.fit.edu/~aberdein/Kisielewicz.pdf.

● Arana, Andrew. On the alleged simplicity of impure proof. In Simplicity: Ideals of Practice in Mathematics and the Arts, edited by Roman Kossak and Philip Ording, Springer (2016).

● Arana, Andrew. Imagination in mathematics. In The Routledge Handbook of the Philosophy of Imagination, edited by Amy Kind, Routledge (2016), pp. 463-477.

● Arana, Andrew and Curtis Franks. In Memoriam of Aldo Antonelli. In Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics, edited by F. Boccuni et A. Sereni, Boston Studies in the Philosophy and History of Science, Springer, 2016

● Arana, Andrew. The changing practices of proof in mathematics. Metascience (2016). doi:10.1007/s11016-016-0150-1

● Hourya Benis-Sinaceur, Marco Panza & Gabriel Sandu, Functions and Generality of Logic. Reflections on Frege’s and Dedekind’s Logicisms, Springer, Cham Heidelberg New York Dordrecht London, 2015.

● Juliana Bueno-Soler & Walter Carnielli: Paraconsistent Probabilities: Consistency, Contradictions and Bayes’ Theorem. Entropy 2016 18(9), 2016, p. 325; doi:10.3390/e18090325. (open access)

● Walter Carnielli & Marcelo E. Coniglio: “Paraconsistent set theory by predicating on consistency”, Journal of Logic and Computation 26(1), 2016, pp. 97-116; doi: 10.1093/logcom/ext020.

● Walter Carnielli & Marcelo E. Coniglio: Paraconsistent Logic: Consistency, Contradiction and Negation. Series Logic, Epistemology, and the Unity of Science, Volume 40, 2016, Springer Amsterdam. (more info)

● Walter Carnielli a& Abilio Rodrigues: Paraconsistency and duality: between onthological and epistemological views, in: P. Arazim and M. Dancak (eds.), The Logica Yearbook 2015, College Publications, London, 2016, pp. 39-56. (more info)

● Walter Carnielli & Abilio Rodrigues: “On the Philosophy and Mathematics of the Logics of Formal Inconsistency”, in: Beziau, J.-Y., Chakraborty, M. Dutta, S. (eds.), New Directions in Paraconsistent Logic, Volume 152 of the series Springer Proceedings in Mathematics & Statistics, Springer India, 2015, pp. 57-88. (more info)

● Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition, Springer (The Western Ontario Series in Philosophy of Sciences, 80), 2016.

● Carlo Cellucci. Is There a Scientific Method? The Analytic Model of Science. In Model-Based Reasoning in Science and Technology . Logical, Epistemological and Cognitive Issues (Proceedings of MBR2015), ed. L. Magnani & C. Casadio. Cham: Springer 2016, pp. 489–505. http://uniroma1.academia.edu/CarloCellucci

● Carlo Cellucci. Is Mathematics Problem Solving or Theorem Proving? Foundations of Science DOI 10.1007/s10699-015- 9475-2.

● Carlo Cellucci. Models of Science and Models in Science. In Models and Inferences in Science, ed. E. Ippoliti, F. Sterpetti, & T. Nickles. Cham: Springer 2016, pp. 95–122.

● Carlo Cellucci. Mathematical Beauty, Understanding, and Discovery. In The best writings on mathematics 2015, ed. M. Pitici, pp. 241–264. Princeton: Princeton University Press.

● Sorin Costreie. Early Analytic Philosophy – New Perspectives on the Tradition. Springer 2016.

● De Toffoli, Silvia and Giardino, Valeria. Envisioning Transformations—The Practice of Topology, in: Larvor (ed.), Mathematical Cultures, Trends in the History of Science, Springer, pp. 25-50, 2016.

● John Dawson: Why Prove it Again? Alternative Proofs in Mathematical Practice, Springer, 2015.

● José Ferreirós: Mathematical Knowledge and the Interplay of Practices, Princeton University Press, 2015. (more info)

● François, Karen & Larvor, Brendan. (2016). Cultural and Institutional inequalities: The case of mathematics education in Flemish schools. Journal of Mathematics and Culture, 10(2), 37-54.

● François, Karen & Vandendriessche, Eric (2016). Reassembling mathematical practices. A philosophico-anthropological approach. Revista Latinoamericana de Etnomatemática, 9(2), 144-167. e-ISSN: 2011-5474

● François, Karen; Coessens, Kathleen & Van Bendegem, Jean Paul (2016). On the Plurality of Mathematics Discourses: Between Power and Constraints. In P. Smeyers, & M. Depaepe (eds.). Discourses of Change and Changes of Discourse (pp. 87-100). Dordrecht: Springer.

● François, Karen (2016). Ethnomathematics as a Human Right. In P. Ernest & B. Sriraman (eds.). Critical Mathematics Education: Theory, Praxis, and Reality (pp. 187-198). Charlotte, North Carolina, USA: Information Age Publishing.

● Giaquinto, Marcus, “The Epistemology of Visual Thinking in Mathematics”, The Stanford Encyclopedia of Philosophy (Winter 2016 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/win2016/entries/epistemology-visual-thinking/>

● Albrecht Heeffer & Matthijs Hendricus Sitters (2016), The hundred geometrical questions of Sybrandt Hansz cardinael : early-modern Dutch geometry from the surveyor’s tradition, Docent Press, Boston, Ma.

● Matthew Inglis & Andrew Aberdein: “Beauty is not simplicity: An analysis of mathematicians’ proof appraisals”, Philosophia Mathematica 23(1), 2015, pp. 87–109. (online)

● Matthew Inglis & Andrew Aberdein. Diversity in proof appraisal. In Mathematical cultures: The London meetings 2012–2014, Brendan Larvor, ed. (Basel: Birkhäuser, 2016), pp. 163–179. (online)

● Inglis, M. & Attridge, N. (2016). Does Mathematical Study Develop Logical Thinking? Testing the Theory of Formal Discipline. London: World Scientific. (online)

● Gilmore, C., Cragg, L., Hogan, G., & Inglis, M. (2016). Congruency effects in dot comparison tasks: Convex hull is more important than dot area. Journal of Cognitive Psychology, 28, 923-931. (online)

● Jens Høyrup (2016). As the Outsider Walked in the Historiography of Mesopotamian Mathematics Until Neugebauer. In A. Jones et al. (eds.), A Mathematician’s Journeys, Springer.

● Jens Høyrup (2016). Which kind of mathematics was known and referred to by those who wanted to integrate mathematics in «Wisdom» –Neopythagoreans and others? AIMS Mathematics, 1(2): 77-95.

● Jens Høyrup (2016). Mesopotamian Mathematics, Seen “from the Inside” (by Assyriologists) and “from the Outside” (by Historians of Mathematics). In V.R. Remmert et al. (eds.), Historiography of Mathematics in the 19th and 20th Centuries, Trends in the History of Science, Springer.

● Jens Høyrup (2016). Embedding: Multipurpose Device for Understanding Mathematics and its Development, or Empty Generalization? Gaõita Bharata Vol. 38, No. 1 (2016) pages 1-29

● Johansen, M.W. and Misfeldt, M. (2016): An empirical approach to the mathematical values of problem choice and argumentation. In Brendan Larvor (ed.): Mathematical Cultures: The London meetings 2012-2014, pages 259-269. Switzerland: Springer

● Jones, I., Wheadon, C., Humphries, S., & Inglis, M. (2016). Fifty years of A-level mathematics: Have standards changed? British Educational Research Journal, 42, 543-560.
http://dx.doi.org/10.1002/berj.3224

● Bisson, M.-J., Gilmore, C., Inglis, M. & Jones, I. (2016). Measuring conceptual understanding using comparative judgement. International Journal of Research in Undergraduate Mathematics Education, 2, 141-164. (online)

● Alcock, L., Ansari, D., Batchelor, S., Bisson, M.-J., De Smedt, B., Gilmore, C., Goebel, S. M., Hannula-Sormunen, M., Hodgen, J., Inglis, M., Jones, I., Mazzocco, M., McNeil, N., Schneider, M., Simms, V., & Weber, K. (2016). Challenges in mathematical cognition: A collaboratively-derived research agenda. Journal of Numerical Cognition, 2, 20-41. (online)

● Jones, I., Wheadon, C., Humphries, S., & Inglis, M. (2016). Wie vergleicht man den Anspruch mathematischer Prüfungen? Die A levels in England, Wales und Nordirland. Mitteilungen der Deutschen Mathematiker-Vereinigung, 24, 100-103. (online)

● Arezoo Islami. A Match Not Made in Heaven: On the Applicability of Mathematics in Physics. Synthese 2016, pp 1-23. (online)

● Ladislav Kvasz, “Mathematics and Experience”, in: M. C. Galavotti, E. Nemeth and F. Stadler (eds.), European Philosophy of Science – Philosophy of Science in Europe and the Viennese Heritage, Vienna Circle Institute Yearbook 17, Springer, 2014, pp. 117-129. (more info)

● Shier Ju, Benedikt Löwe, Thomas Müller, Yun Xie (eds.) Cultures of Mathematics and Logic, Selected papers from the conference in Guangzhou, China, 9-12 November 2012, Birkhaeuser, Basel 2016 [Trends in the History of Science] (online)

● Benedikt Löwe, Philosophy or not? The study of cultures and practices of mathematics, in: Shier Ju, Benedikt Löwe, Thomas Müller, Yun Xie (eds.) Cultures of Mathematics and Logic, Selected papers from the conference in Guangzhou, China, 9-12 November 2012, Birkhaeuser, Basel 2016 [Trends in the History of Science], pp. 23-42

● Brendan Larvor, What are Cultures?, in: Shier Ju, Benedikt Löwe, Thomas Müller, Yun Xie (eds.) Cultures of Mathematics and Logic, Selected papers from the conference in Guangzhou, China, 9-12 November 2012, Birkhaeuser, Basel 2016 [Trends in the History of Science], pp. 1-22

● Paolo Mancosu, Abstraction and Infinity, Oxford University Press, Oxford, 2016. (online)

● Paolo Mancosu, Algunas observaciones sobre la filosofía de la práctica matemática. Disputatio. Philosophical Research Bulletin 5:6, 2016, 131-156. [In Spanish]

● Marquis, Jean-Pierre, 2016, Stairway to Heaven: The Abstract Method and Levels of Abstraction in Mathematics, The Mathematical Intelligencer, 38, Issue 3, 41-51.

● Mesquita, Mônica; Caetano, Ana Paula & François, Karen (2016) Sociology of Space and Urban Boundaries. Embodiment through Communitarian Education. In B.M. Pirani & T.S. Smith (eds.). Embodiment and Cultural Differences (pp. 147-171). UK: Cambridge Scholars Publishing.

● Pantsar, Markus. 2016. “The Modal Status of Contextually A Priori Arithmetical Truths”, in Boccuni & Sereni (eds.): Philosophy of mathematics: objectivity, cognition, and proof, Springer.

● Pantsar, Markus. 2016 . “The Great Gibberish: Mathematics in Western Popular Culture.” Larvor (ed.): In Mathematical Cultures: The London Meetings 2012-2014, Springer.

● Pantsar, Markus. 2016. “Frege, Dedekind, and the Epistemology of Arithmetic”, Acta Analytica, 31 (3), 297-318.

● Frédéric Patras, Approches phénoménologiques de la vérité mathématique, Cahiers de Logique et d’Epistemologie n. 22 , A. Moktefi et al. eds, College Publications (2016) 129-148.

● Frédéric Patras, Il y a déjà de l’algèbre chez Euclide… ou presque. in Le Presque, J. Benoist et Th. Paul eds, Hermann (2015).

● Frédéric Patras, Construire les mathématiques dans l’imagination, Revue de Synthèse, tome 136, 6e série, n° 1-2, 2015, p. 75-92.

● Christopher Pincock, “The Unsolvability of the Quintic: A Case Study in Abstract Mathematical Explanation”, Philosophers’ Imprint 15 (2015): 1-19. (online)

● Schlimm, Dirk. Metaphors for mathematics from Pasch to Hilbert. Philosophia Mathematica, 24(3): 308–329. October 2016. (online)

● Schlimm, Dirk. Book review of José Ferreirós, “Mathematical Knowledge and the Interplay of Practices,” Philosophia Mathematica, Advance access, 2016. (online)

● Sergeyev Ya.D. (2016) The difficulty of prime factorization is a consequence of the positional numeral system, International Journal of Unconventional Computing, Vol. 12 (5-6), 453–463. (online)

● Sergeyev Ya.D. (2016) The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area, Communications in Nonlinear Science and Numerical Simulation, 31(1–3):21–29. (online)

● Steensen, A.K. and Johansen, M.W. (2016): The role of diagram materiality in mathematics. Cognitive Semiotics 9(2): 183–20.

● R.S.D. Thomas. Beauty Is Not All There Is to Aesthetics in Mathematics. Philosophia Mathematica first published online September 13, 2016
doi:10.1093/philmat/nkw019 (online)

● Jean Paul Van Bendegem. “The heterogeneity of mathematical research”. In: Can Baskent (ed.), Perspectives on Interrogative Models of Inquiry: Developments in Inquiry and Questions. New York: Springer, 2016, pp. 73-94.

● Jean Paul Van Bendegem. “Contingency in Mathematics: Two Case Studies”. In: Léna Soler, Emiliano Trizio & Andrew Pickering (eds.), Science As It Could Have Been. Discussing the Contingency/Inevitability Problem. Pittsburgh: University of Pittsburgh Press, 2016, pp. 223-239.