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The foundations of geometry by Peano's school and some epistemological considerations

Paolo Freguglia

pp. 101-116

Résumé

The aim of this paper is to individualize some contributions by Peano and his school (in particular Burali-Forti and Pieri) to the foundations of synthetic geometry. In particular, we propose: some remarks regarding Peano's axiomatic foundation approach to geometry (1889) and some considerations on the fundamental role of geometrical calculus (Grassmann-Peano system) (1888).

Détails de la publication

Publié dans:

Tahiri Hassan (2018) The philosophers and mathematics: Festschrift for Roshdi Rashed. Dordrecht, Springer.

Pages: 101-116

DOI: 10.1007/978-3-319-93733-5_5

Citation complète:

Freguglia Paolo, 2018, The foundations of geometry by Peano's school and some epistemological considerations. In H. Tahiri (ed.) The philosophers and mathematics (101-116). Dordrecht, Springer.