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10 mai 2009
- handle: 10670/1.a6k1v3
- hal: hal-00804075
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Thomas Barrier et al., « Semantic and game-theoretical insight into argumentation and proof », HAL-SHS : philosophie, ID : 10670/1.a6k1v3
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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.