Semantic and game-theoretical insight into argumentation and proof - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2009

Semantic and game-theoretical insight into argumentation and proof

Résumé

We try to point out how the integration of quantification and objects into the didactical analysis permits to question the "traditional" idea of a rupture between argumentation and proof in mathematics. We use a conceptual distinction described by Hintikka (1996) between indoor and outdoor games to assess the problem. Then we go to a description some examples of proof constructions and proof validation to provide some substance to our thesis. Our main claim is that the proof process is a dialectic one between actions on objects and syntactic (formal) work in proof construction. We think that claim to be inconsistent with the idea of a rupture between argumentation and proof.
Fichier non déposé

Dates et versions

hal-00804075 , version 1 (24-03-2013)

Identifiants

  • HAL Id : hal-00804075 , version 1

Citer

Thomas Barrier, Viviane Durand-Guerrier, Thomas Blossier. Semantic and game-theoretical insight into argumentation and proof. ICMI Study 19 conference: Proof and Proving in Mathematics Education, May 2009, Taipei, Taiwan. pp.77-82. ⟨hal-00804075⟩
248 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More