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Semantic and game-theoretical insight into argumentation and proof
Acte de colloque

Semantic and game-theoretical insight into argumentation and proof

Thomas Barrier, Viviane Durand-Guerrier et Thomas Blossier
Proceedings of the ICMI Study 19 conference: Proof and Proving in Mathematics Education, Vol.I, p.77-82
ICMI Study 19 conference: Proof and Proving in Mathematics Education
2009

Résumé

Education History and Overview Humanities and Social Sciences Mathematics Philosophy
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.

Indicateurs

1 Consultations de la notice

Détails

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