The Practice of Mathematics: Cognitive Resources and Conceptual Content - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Topoi Année : 2023

The Practice of Mathematics: Cognitive Resources and Conceptual Content

Valeria Giardino

Résumé

In the past 10 years, contemporary philosophy of mathematics has seen the development of a trend that conceives mathematics as first and foremost a human activity and in particular as a kind of practice. However, only recently the need for a general framework to account for the target of the so-called philosophy of mathematical practice has emerged. The purpose of the present article is to make progress towards the definition of a more precise general framework for the philosophy of mathematical practice by exploring two strategies. A first strategy is to turn to philosophy of mind and Edwin Hutchins' view of distributed cognition in order to better understand the cognitive issues at play when considering a community of mathematicians; a second strategy is to refer to philosophy of language and focus on Robert Brandom's inferentialism and mathematical conceptual content. A possible combination of these two views, called enhanced material inferentialism, is then put forward as a promising framework to account for the philosophy of mathematical practice.
Fichier principal
Vignette du fichier
Giardino_The practice of mathematics.pdf (863.82 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04338310 , version 1 (08-01-2024)

Identifiants

Citer

Valeria Giardino. The Practice of Mathematics: Cognitive Resources and Conceptual Content. Topoi, 2023, 42 (1), pp.259-270. ⟨10.1007/s11245-022-09861-7⟩. ⟨hal-04338310⟩
11 Consultations
24 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More