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:	Creators Email ORCID Ferreirós, José josef@us.es 0000-0002-4837-3071
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.pitt.edu/id/eprint/17309

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