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ARTICLE

Poincaré on Understanding Mathematics

  • Pages : 43 à 60
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  • Date de création : 04-01-2011
  • Dernière mise à jour : 04-01-2011

Résumé :

Français

Poincaré holds up that the varieties of formal logical theories don’t express the essential proof-theoretical structure in order to understand mathematics. Intuition and æsthetic reasoning, the later depending from the criterion “harmony by a surprising order-character”, are other decisive proof-aspects. In what sense elements from Peirce’s semiotics and Goodman’s æsthetics contribute something to Poincaré’s aim of mathematical reasoning besides logical inference ?

 

Résumé :

Français

Poincaré holds up that the varieties of formal logical theories don’t express the essential proof-theoretical structure in order to understand mathematics. Intuition and æsthetic reasoning, the later depending from the criterion “harmony by a surprising order-character”, are other decisive proof-aspects. In what sense elements from Peirce’s semiotics and Goodman’s æsthetics contribute something to Poincaré’s aim of mathematical reasoning besides logical inference ?

 
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