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Dedekind’s Map-theoretic Period

Ferreirós, José (2017) Dedekind’s Map-theoretic Period. Philosophia Mathematica, 25 (3). pp. 318-340. ISSN 0031-8019

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Abstract

In 1887–1894, Richard Dedekind explored a number of ideas within the project of placing mappings at the very center of pure mathematics. We review two such initiatives: the introduction in 1894 of groups into Galois theory intrinsically via field automorphisms, and a new attempt to define the continuum via maps from N to N (later called Baire space) in 1891. These represented the culmination of Dedekind’s efforts to reconceive pure mathematics within a theory of sets and maps and throw new light onto the nature of his structuralism and its specificity in relation to the work of other mathematicians.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Ferreirós, Joséjosef@us.es0000-0002-4837-3071
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Practice
Depositing User: Dr José Ferreirós
Date Deposited: 11 Jun 2020 16:45
Last Modified: 11 Jun 2020 16:45
Item ID: 17309
Journal or Publication Title: Philosophia Mathematica
Publisher: OUP
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Practice
Date: 2017
Page Range: pp. 318-340
Volume: 25
Number: 3
ISSN: 0031-8019
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/17309

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