Embracing the Crisis in the Foundations of Mathematics
| dc.contributor.author | Friend, Michèle | |
| dc.date.accessioned | 2016-03-11T22:05:33Z | |
| dc.date.available | 2016-03-11T22:05:33Z | |
| dc.date.issued | 2013 | |
| dc.identifier.uri | http://revueithaque.org/fichiers/cahiers/Lepage_Fradet.pdf | |
| dc.identifier.uri | http://hdl.handle.net/1866/13334 | |
| dc.publisher | Société Philosophique Ithaque | |
| dc.rights | Ce texte est publié sous licence Creative Commons : Attribution – Pas d’utilisation commerciale – Partage dans les mêmes conditions 2.5 Canada. | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/2.5/ca/legalcode.fr | |
| dc.title | Embracing the Crisis in the Foundations of Mathematics | |
| dc.type | Article | |
| dc.contributor.affiliation | Université de Montréal. Faculté des arts et des sciences. Département de philosophie | fr |
| dcterms.abstract | The crisis in the foundations of mathematics is a conceptual crisis. I suggest that we embrace the crisis and adopt a pluralist position towards foundations. There are many foundations in mathematics. However, ‘many foundations’ (for one building) is an oxymoron. Therefore, we shift vocabulary to say that mathematics, as one discipline, is composed of many different theories. This entails that there are no absolute mathematical truths, only truths within a theory. There is no unified, consistent ontology, only ontology within a theory. | |
| dcterms.language | eng | |
| UdeM.VersionRioxx | Version publiée / Version of Record | |
| oaire.citationTitle | Les Cahiers d'Ithaque | |
| oaire.citationIssue | 2013 |
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Usage rights : Ce texte est publié sous licence Creative Commons : Attribution – Pas d’utilisation commerciale – Partage dans les mêmes conditions 2.5 Canada.