Mathematical Impossibility in History and in the Classroom
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| Auteur: | |
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| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2014 |
| Description: | Theorems stating that something is impossible are notoriously difficult to understand for many students and amateur mathematicians. In this talk I shall discuss how the role of such impossibility statements has changed during the history of mathematics. I shall argue that impossibility statements have changed status from a kind of meta-statement to true mathematical theorems. I shall also argue that this story is worth telling in the classroom because it will clarify the nature of impossibility theorems and thus of mathematics. In particular it will show to the students how mathematics is able to investigate the limits of its own activity with its own methods. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/14723 |
| Accès en ligne: | https://archivo.revistas.ucr.ac.cr/index.php/cifem/article/view/14723 |
| Mots-clés: | Philosophy Mathematics Education History of Mathematics |