Stairway to Heaven : The abstract method and levels of abstraction in mathematics
| dc.contributor.author | Marquis, Jean-Pierre | |
| dc.date.accessioned | 2018-02-16T14:28:55Z | |
| dc.date.available | NO_RESTRICTION | fr |
| dc.date.available | 2018-02-16T14:28:55Z | |
| dc.date.issued | 2016 | |
| dc.identifier.uri | http://hdl.handle.net/1866/19804 | |
| dc.title | Stairway to Heaven : The abstract method and levels of abstraction in mathematics | fr |
| dc.type | Article | fr |
| dc.contributor.affiliation | Université de Montréal. Faculté des arts et des sciences. Département de philosophie | fr |
| UdeM.statut | Professeur(e) / Professor | fr |
| dc.identifier.doi | 10.1007/s00283-016-9672-z | |
| dcterms.abstract | In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I rst try to clarify the basic components of the abstract method as it developed in the rst quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the nal section, I brie y explore some of main philosophical consequences of the theory. | fr |
| dcterms.isPartOf | urn:ISSN:0343-6993 | |
| dcterms.isPartOf | urn:ISSN:1866-7414 | |
| dcterms.language | eng | fr |
| UdeM.VersionRioxx | Version acceptée / Accepted Manuscript | fr |
| oaire.citationTitle | Mathematical intelligencer | |
| oaire.citationVolume | 38 | |
| oaire.citationIssue | 3 | |
| oaire.citationStartPage | 41 | |
| oaire.citationEndPage | 51 |
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