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AIR - Archive of the Publications of the University of Milan

Paola Cantù - Homepage

CNRS tenured researcher (National Center for Scientific Research, France)

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




Research areas: philosophy of mathematics and logic

  • I am actually a member of the ANR Gödel project directed by G. Crocco (Université de Provence, France) on Gödel's theory of concepts and cosmology
  • I participated in the research project directed by M. Detlefsen (Notre Dame University, Indiana) on Ideals of Proof (ANR Project based in Paris and Nancy).

Address
Centre d'EPistémologie et Ergologie Comparatives (CEPERC) - UMR 6059 Université de Provence
29, avenue Robert Schuman
13621 Aix-en-Provence Cedex 1
E-mail

EXPERIENCE
  • 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, 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
  • 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)
  • 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 Poincaré, Philosophia 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, Birkhäuser.
  • "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.
  • 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.