Publications 2019 | Association for the Philosophy of Mathematical Practice

Aberdein, Andrew and Matthew Inglis. Introduction. In Advances in Experimental Philosophy of Logic and Mathematics, edited by Andrew Aberdein and Matthew Inglis, 1–13. London: Bloomsbury, 2019.
Aberdein, Andrew. “Evidence, Proofs, and Derivations.” ZDM Mathematics Education, 51, no. 5 (2019): 825–34.
Aberdein, Andrew. “Mathematical Monsters.” In Monsters, Monstrosities, and the Monstrous in Culture and Society, edited by Diego Compagna and Stefanie Steinhart, 391–412. Wilmington, DE: Vernon Press, 2019.
Akiyoshi, Ryota and Andrew Arana. “Takeuti’s proof theory in the context of the Kyoto School.” Jahrbuch für Philosophie das Tetsugaku-Ronso 46 (2019): 1-17. http://hdl.handle.net/2433/244296
Andersen, L.E., Johansen, M.W. & Sørensen, H.K. Mathematicians writing for mathematicians. Synthese (2019, online first). https://doi.org/10.1007/s11229-019-02145-5
Centrone, Stefania, Deborah Kant, and Deniz Sarikaya (eds.), Reflections on the Foundations of Mathematics, Cham: Springer, 2019.
De Risi V. “Analysis Situs, the Foundations of Mathematics and a Geometry of Space”. In M.R. Antognazza (ed.), The Oxford Handbook of Leibniz, Oxford, Oxford University Press, 2019, 247-58.
De Risi V. “Leibniz on the Continuity of Space”. In V. De Risi (ed.), Leibniz and the Structure of Science. Modern and New Essays on Logic, Mathematics, Epistemology, Boston Studies in Philosophy and History of Science, Berlin, Springer, 2019, 111-69.
De Risi V. (ed.), Leibniz and the Structure of Science. Modern and New Essays on Logic, Mathematics, Epistemology, Boston Studies in Philosophy and History of Science, Berlin, Springer, 2019.
De Risi V. and David Rabouin (Guest Editors). Leibniz’ Dynamica. Revue d’Histoire des Sciences, 72 (2019).
Džamonja, Mirna, and Deborah Kant. “Interview with a set theorist.” In Reflections on the Foundations of Mathematics, edited by Stefania Centrone, Deborah Kant and Deniz Sarikaya, 3-26. Cham: Springer, 2019.
Ferreirós J. On the Semantics of Higher-order Logic. (UN-)CERTAINTY AND (IN-)EXACTNESS. Eds. Gianfranco Basti, Fabio Bertato. Roma, Aracne, 2018. Pp 179-190.
Ferreirós J. y Manuel García-Pérez. ¿«Natural» y «euclidiana»? Reflexiones sobre la geométrica práctica y sus raíces cognitivas. Theoria Vol. 33/2, May 2018, pp. 325-344.
Ferreirós J. y Manuel García-Pérez. Beyond Natural Geometry: On the nature of proto-geometry. Philosophical Psychology, (2020) published online 02 Nov 2019. https://doi.org/10.1080/09515089.2019.1683726
Ferreirós J.. Dedekind, Peano, and the two sides of modern axiomatics. In: R. Kahle, ed. Axiomatic thinking. Springer Verlag, forthcoming
Fisseni, Bernhard, Deniz Sarikaya, Martin Schmitt, and Bernhard Schröder. “How to Frame a Mathematician.” In Reflections on the Foundations of Mathematics, edited by Stefania Centrone, Deborah Kant and Deniz Sarikaya, 417-36. Cham: Springer, 2019.
François K., “Values and Beauty in Math Education” In J. Subramanian (ed.) Proceedings of the Tenth International Mathematics Education and Society Conference –MES10– Vol 2. (pp. 1-10). Hyderabad, India, Jan 28th – Feb 2nd, 2019. ISSN: 2077-9933. Online available https://www.mescommunity.info/proceedings/MES10.pdf
Friedman, Michael, and Colin Jakob Rittberg. “The material reasoning of folding paper.” Synthese (2019): 1-35. https://link.springer.com/article/10.1007/s11229-019-02131-x
Hellman, G. “Carnap* Replies” Monist 101 (2018): 388-393.
Hellman, G. “Predicativity and Regions-based Continua” in Feferman on Logic and Foundations W. Sieg & G. Jaeger, eds (Springer, 2018) w Shapiro, S.
Hellman, Geoffrey “Extendability and Paradox” in Hilary Putnam on Mathematics and Logic Roy Cook & Geoffrey Hellman eds (Springer 2018) w. Roy Cook
Hellman, Geoffrey “Extending the Iterative Conception of Set” in Mathematics and Its Logics, op. cit.
Hellman, Geoffrey “If ‘If-Then’ Then What?” in Mathematics and Its Logics, op. cit.
Hellman, Geoffrey “On the Gödel-Friedman Program” in Mathematics and Its Logics, op. cit.
Hellman, Geoffrey Mathematical Structuralism (Cambridge UP, 2019), with Stewart Shapiro
Hellman, Geoffrey Mathematics and Its Logics: Philosophical Essays (Cambridge UP, 2020).
Hellman, Geoffrey Varieties of Continua: from Regions to Points and Back (Oxford UP, 2018), with Stewart Shapiro
Høyrup J., “Archimedes: Reception in the Renaissance”, in M. Sgarbi (ed.), Encyclopedia of Renaissance Philosophy. Online, https://doi.org/10.1007/978-3-319-02848-4_892-1 (2019).
Høyrup J., “Euclid: Reception in the Renaissance”, in M. Sgarbi (ed.), Encyclopedia of Renaissance Philosophy. Online, https://doi.org/10.1007/978-3-319-02848-4_918-1 (2019).
Høyrup J., “From the Practice of Explanation to the Ideology of Demonstration: An Informal Essay”, pp. 27–46 in Gert Schubring (ed.), Interfaces between Mathematical Practices and Mathematical Education. Cham etc.: Springer, 2019.
Høyrup J., “Guānyū yōuxiān, cuòwù hé zhèngquè – gāo dé nà, ‘gāo dé nà’, Wu wénjùn, jí suànfˇa” [“On Being First, Being Wrong and Being Right: Knuth, ‘Knuth’, Wu Wenjun, and Algorithms”], pp. 82–92 in Ji Zhigang & Xu Zelin (eds), Lùn Wú Wénjùn de shùxué shˇi yàjī. Shanghai: Shanghai Jiaotong University Press, 2019.
Høyrup J., “Hippocrates of Chios – His Elements and His Lunes: A Critique of Circular Reasoning”. AIMS Mathematics 5 (2019), 158–184.
Høyrup J., “On Old Babylonian Mathematical Terminology and Its Transformations in the Mathematics of Later Periods”. Ganita Bhāratī 40 (2018; published 2019),.
Høyrup J., “What Is a Number? What Is a Concept? Who Has a Number Concept”, pp. 23–27 in Jürgen Renn & Matthias Schemmel (eds), Culture and Cognition: Essays in Honor of Peter Damerow. Berlin: Edition Open Access, 2019.
Høyrup J., Selected Essays on Pre- and Early Mdoern Mathematqical Practice. Cham etc.: Springer, 2019.
Lange, Marc. “Ground and Explanation in Mathematics”, Philosophers’ Imprint 19.33 (August 2019): 1-18.
Larvor, Brendan Review of What Is A Mathematical Concept? 1 Jul 2019, In : Journal of Humanistic Mathematics. 9, 2, p. 309-322 14 p. https://scholarship.claremont.edu/jhm/vol9/iss2/21/
Lipka J., B.L. Adams, M. Wong, D. Koester, &K. Francois, “Symmetry and Measuring as a Way to Teach the Foundations of Mathematics: Inspired by Yupiaq Elders”. Journal of Humanistic Mathematics 9(1), 107-157, January 2019. DOI 10.5642/jhummath.201901.07 Online available https://scholarship.claremont.edu/jhm/vol9/iss1/7/
Loewe, Benedikt, and Bart Van Kerkhove. “Methodological triangulation in empirical philosophy (of mathematics)”, in: Andrew Aberdein & Matthew Inglis (eds.), Advances in Experimental Philosophy of Logic and Mathematics, Bloomsbury Academic, London, 2019: 15–37.
María de Paz & J. Ferreirós (guest editors): Monographic Section: From basic cognition to mathematical practice. Theoria Vol. 33/2, May 2018, pp. 257-373.
Panza M. and A. Sereni, “Frege’s Constraint and the Nature of Frege’s Foundational Program”, Review of Symbolic Logic, 12, no. 1 (2019): 97-143.
Panza M. and S. Maronne. “Newton and Euler”. In The Reception of Isaav Newton in Europe, edited by S. mandelbrote and H. Pulte, 861-877 and 969-973. London, etc.: Bloomsbury, 2019 (3 vols).
Pease, Alison, Andrew Aberdein, and Ursula Martin. “Explanation in Mathematical Conversations: An Empirical Investigation.” Philosophical Transactions of the Royal Society A, 377 (2019): 20180159. http://dx.doi.org/10.1098/rsta.2018.0159.
Rittberg, Colin Jakob. “On the Contemporary Practice of Philosophy of Mathematics.” Acta Baltica Historiae et Philosophiae Scientiarum 7, no. 1 (2019): 5-26. https://www.ceeol.com/search/article-detail?id=816699
Rittberg, Colin, and Bart Van Kerkhove, “Studying mathematical practices: The dilemma of case studies”, ZDM Mathematics Education 51, 5 (2019): 85. https://link.springer.com/article/10.1007/s11858-019-01038-8
Rodin, A. Models of HoTT and the Constructive View of Theories, in: Stefania Centrone, Deborah Kant and Deniz Sarikaya (eds.) Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts, Springer, Synthese Library vol.407., pp. 191-219, DOI: 10.1007/978-3-030-15655-8_9
Sergeyev Ya.D. “Independence of the grossone-based infinity methodology from non-standard analysis and comments upon logical fallacies in some texts asserting the opposite”, Foundations of Science, 24, no. 1 (2019) , 153–170.
Sørensen, Henrik Kragh, Kristian Danielsen, and Line Edslev Andersen. “Teaching reader engagement as an aspect of proof.” ZDM Mathematics Education, 51, no. 5 (2019): 835-844.
Wagner, Roy. “Does Mathematics Need Foundations?” In Reflections on the Foundations of Mathematics, edited by S Centrone, D Kant, and D Sarikaya, 381–96. Synthese Library 407. Cham: Springer, 2019. https://www.research-collection.ethz.ch/handle/20.500.11850/387094
Wagner, Roi. “Mathematical Abstraction as Unstable Translation between Concrete Presentations.” Philosophy of Mathematics Education Journal 35 (2019). https://www.research-collection.ethz.ch/handle/20.500.11850/387100
Wagner, Roy, and Samuel Hunziker. “Jost Bürgi’s Methods of Calculating Sines, and Possible Transmission from India.” Archive for History of Exact Sciences 73, no. 3 (2019): 243–60. https://www.research-collection.ethz.ch/handle/20.500.11850/388954