Paola Cantù - Homepage

Tenured researcher at the National Center for Scientific Research (CNRS), France. 

Affiliated with CEPERC, Research Group in Epistemology, Aix-Marseille Université, France.




Address
CNRS / CEPERC (UMR 7304)
29, avenue Robert Schuman 
13621 Aix-en-Provence Cedex 1


Research areas: philosophy of mathematics and logic


EXPERIENCE
  • 2012-present tenured researcher at the National Center for Scientific Research, France
  • 2011-2012 Iméra Fellowship - Marseille
  • 2009-2010 - ANR Projet Gödel / CEPERC (Centre de recherches en EPistémologie et ERgologie Comparatives) Université de Provence, France
  • 2008-2009 - ANR Chaire d'Excellence "Ideals of Proof" / Archives Poincaré, Université de Nancy et SPHERE, Université de Paris Diderot (Paris 7), France
  • 2004-2008 - Research Fellow at the University of Milan, Philosophy Department, Italy


Work in progress
  • Bolzano's Beyträge
  • Gödel's philosophy of logic and mathematics
  • Hölder's epistemology
  • Kant and 20th century mathematics
  • The real/ideal distinction in mathematics
  • The Peano's "school"
  • Mathematical theories of continua
Main interests
  • Infinitesimals, infinite
  • Gödel's philosophy of mathematics and logic
  • Theories of magnitudes at the end of the XIX century
  • The definition of mathematics
  • Bolzano's philosophy of mathematics and logic
  • Hermann Grassmann's theory of extension
  • The Peano school (Peano, Vailati, Padoa, ....)
  • XIX and early XX century epistemology (Veronese, Bettazzi, Hölder, ...)
  • Argumentation theory: dissensus, history and philosophy of argumentation, dialogue logic, fallacies
  • Discourse analysis: collaboration with the logical section of Diogene: filosofare oggi

Recent publications (download preprints here)
  •  Louis Rougier’s Reception of the Peano School, in F. Brechenmacher, G. Jouve, L. Mazliak and R. Tazzioli (eds.). Images of Italian Mathematics in France. The Latin Sisters, from Risorgimento to Fascism.  New Trends in History of Science Series, Springer, 2016, pp. 213--254.
  • Peano and Gödel, in Kurt Gödel Philosopher Scientist G. Crocco et E-M. Engelen (eds.), Aix en Provence : Presses Universitaires de Provence, 2016, pp. 107—126. ISBN: 9782853999762.
  • Filosofia e matematica tra XIX e XX secolo, La Matematica nella Società e nella Cultura- Rivista dell'Unione Matematica Italiana, (1) 7 (2014), pp. 481--502, ISSN 1972-7356.
  • The Right Order of Concepts:Grassmann, Peano, Gödel and the Inheritance of Leibniz’s UniversalCharacteristic, Philosophia Scientiae - Studies in History and Philosophy of Science, 18-1 (2014), pp. 157--182, ISSN 1281-2463.
  • Bolzano versus Kant: Mathematics as a Scientia Universalis in A. Reboul (ed.), Mind, Values and Metaphysics, Philosophical Papers Dedicated to Kevin Mulligan, Vol. I, Springer International Publishing, 2014, pp. 295—316, ISBN 9783319041988.
  • An Argumentative Approach to Ideal Elements in Mathematics, in The Argument of Mathematics, edited by Andrew Aberdein and Ian J. Dove, Springer, Logic, Epistemology & the Unity of Science Series,  2013, pp. 79—99.
  • Geometry and Measurement in Otto Hölder's Epistemology, Philosophia Scientiae, 2013, pp. 131--164.
  • Algoritmi e argomenti [Algorithms and arguments], Sistemi  Intelligenti, 24/3, 2012, pp. 427--445.
  • E qui casca l'asino. Errori di ragionamento nel dibattito pubblico. Bollati Boringhieri, Torino,  2011.
  • Cantù, P. and M. De Zan (2009), Life and Works of Giovanni Vailati. In C. Arrighi, P. Cantù, M. De Zan e P. Suppes (eds.), Logic and Pragmatism Selected Writings of Giovanni Vailati, CSLI Publications, Stanford, 2009, pp. xxi-lxvii, ISBN 9781575865911 (see reviews  here)
  • Cantù P. and I. Testa, Algorithms and Arguments: The Foundational Role of the ATAI-question, in F.H. van Eeemeren, B. Garssen, D. Godden and G. Mitchell (eds.). Proceedings of the Seventh International Conference of the International Society for the Study of Argumentation, Amsterdam: Rozenberg / Sic Sat, 2011, pp. 192--203.
  • Cantù, P. and I. Testa (2009). Consenso e dissenso [Consensus and dissensus] (Italian). In A. Cattani, P. Cantù, I. Testa e P. Vidali (eds.), La svolta argomentativa. 50 anni dopo Perelman e Toulmin: 1958-2008 Napoli: Loffredo, 2009, pp. 87-96, ISBN 9788875643355.
  • Le concept de l'espace chez Veronese. Une comparaison avec la conception de Helmholtz et PoincaréPhilosophia Scientiae, 13/2 (2009), 129―149.
  • Grassmann’s epistemology: multiplication and constructivism. In A. Petsche et al. (eds.), From Past to Future: Graßmann's Work in Context. The Graßmann Bicentennial Conference. September 2009, Basel: Birkhäuser, pp. 91-100, ISBN 9783034601542.
  • "The role of epistemological models in Veronese's and Bettazzi's theory of magnitudes". In M. D'Agostino, G. Giorello, F. Laudisa, T. Pievani & C. Sinigaglia (eds.) (2010) New Trends in Logic and Philosophy of Science. College Publications, London, pp. 229—241. ISBN 9781848900035.
  • Sul concetto di eguaglianza. Peano e la sua scuola [On the concept of equality. Peano and his school] (Italian) in C. S. Roero (ed.) Peano e la sua scuola fra matematica, logica e interlingua. Atti del Congresso Internazionale di Studi (Torino, 6-7 Ottobre 2008), Torino: Università di Torino, pp. 545-561.