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Chapitre d'ouvrage
Theorems as Constructive Visions
Abstract : This paper briefly reviews some epistemological perspectives on the foundation of mathematical concepts and proofs. It provides examples of axioms and proofs, from Euclid to recent "concrete incompleteness" theorems. In reference to basic cognitive phenomena, the paper focuses on order and symmetries as core "construction principles" for mathematical knowledge. A distinction is then made between these principles and the "proof principles" of modern Mathemaical Logic. The role of the blend of these different forms of founding principles will be stressed,
both for the purposes of proving and of understanding and communicating the proof
Keywords :
Cognition
Foundations of Mathematical Knowledge
https://hal-ens.archives-ouvertes.fr/hal-03319485
Contributeur : Usr 3608 République Des Savoirs <>
Soumis le : jeudi 12 août 2021 - 13:54:07
Dernière modification le : vendredi 13 août 2021 - 03:24:42
Contributeur : Usr 3608 République Des Savoirs <>
Soumis le : jeudi 12 août 2021 - 13:54:07
Dernière modification le : vendredi 13 août 2021 - 03:24:42
Fichier
2021_08_12_proof-visions.pdf
Fichiers produits par l'(les) auteur(s)
