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Permalink: http://hdl.handle.net/1866/19804

Stairway to Heaven : The abstract method and levels of abstraction in mathematics

Article [Accepted Manuscript]
Thumbnail
Levelsofabs.pdf (316.4Kb)
Is part of
Mathematical intelligencer ; vol. 38, no. 3, pp. 41-51.
2016
Author(s)
Marquis, Jean-Pierre
Affiliation
  • Université de Montréal. Faculté des arts et des sciences. Département de philosophie
Abstract(s)
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.
Other location(s)
https://doi.org/10.1007/s00283-016-9672-z
Collections
  • Faculté des arts et des sciences – Département de philosophie - Travaux et publications [839]

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