Questioning the Exclusivity of Classical Logic and Set-Theoretic Assumptions in Analysis of Classroom Argumentation and Proof - Archive ouverte HAL
Communication Dans Un Congrès Année : 2022

Questioning the Exclusivity of Classical Logic and Set-Theoretic Assumptions in Analysis of Classroom Argumentation and Proof

Miglena Asenova
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Résumé

The paper highlights the necessity to question the exclusivity of classical logic, or of approaches that are reducible to it, in the analysis of classroom proof and argumentation processes, as well as the role of the set-theoretic language as intrinsically linked to classical logic. Two examples drawn from mathematics classroom are analysed, recurring to the Ancient Indian empiricist Nyaya logic and to Peirce’s non-standard quantification, associating the last to a “free logic”, not axiomatizable within an axiomatic system where the specification axiom applies.
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Dates et versions

hal-03740184 , version 1 (29-07-2022)
hal-03740184 , version 2 (17-10-2022)

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  • HAL Id : hal-03740184 , version 2

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Miglena Asenova. Questioning the Exclusivity of Classical Logic and Set-Theoretic Assumptions in Analysis of Classroom Argumentation and Proof. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03740184v2⟩

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