PhilSci Archive

What Bourbaki Has and Has Not Given Us

Ezenarro Arriola, Enetz (2017) What Bourbaki Has and Has Not Given Us. THEORIA. An International Journal for Theory, History and Foundations of Science, 32 (1). pp. 25-40. ISSN 2171-679X

[img]
Preview
Text
Enetz Ezenarro Arriola.pdf - Published Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (210kB) | Preview

Abstract

Bourbaki showed us the potential inherent within the concept of mathematical structure for re-organizing, systematically arranging and unifying the mathematical framework. But mathematics’ development in recent decades has flagged up the limitations of this approach. In this article we analyse Bourbaki’s contributions to what we term the “internal” foundations of mathematics, and at the same time we indicate where, in our view, they fall short. We go on to outline some of the evidence on which we base the viewpoint termed structural functionalism. According to the latter, the general notion of morphism characterizes the dynamic nature of present-day mathematics.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Ezenarro Arriola, Enetzenetz.ezenarro@ehu.eus
Additional Information: ISSN: 0495-4548 (print)
Keywords: Bourbaki, structuralism, internal foundations of mathematics, structuralist functionalism
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
General Issues > Structure of Theories
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 04 Mar 2017 15:10
Last Modified: 04 Mar 2017 15:10
Item ID: 12874
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.eus/ojs/index.php/THEORIA/article/v...
DOI or Unique Handle: https://doi.org/10.1387/theoria.15199
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
General Issues > Structure of Theories
Date: January 2017
Page Range: pp. 25-40
Volume: 32
Number: 1
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12874

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item View Item