Article ID: CBB001212886

Frege, Dedekind, and the Origins of Logicism (2013)


Reck, Erich H. (Author)

History and Philosophy of Logic
Volume: 34, no. 3
Issue: 3
Pages: 242-265

Publication Date: 2013
Edition Details: Part of a special issue, “Frege's Philosophy of Mathematics and Logic”
Language: English

This paper has a two-fold objective: to provide a balanced, multi-faceted account of the origins of logicism; to rehabilitate Richard Dedekind as a main logicist. Logicism should be seen as more deeply rooted in the development of modern mathematics than typically assumed, and this becomes evident by reconsidering Dedekind's writings in relation to Frege's. Especially in its Dedekindian and Fregean versions, logicism constitutes the culmination of the rise of `pure mathematics' in the nineteenth century; and this rise brought with it an inter-weaving of methodological and epistemological considerations. The latter aspect illustrates how philosophical concerns can grow out of mathematical practice, as opposed to being imposed on it from outside. It also sheds new light on the legacy and the lasting significance of logicism today.

Included in

Article Lavers, Gregory (2013) Frege, Carnap, and Explication: “Our Concern Here Is to Arrive at a Concept of Number Usable for the Purpose of Science”. History and Philosophy of Logic (pp. 225-241). unapi

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Authors & Contributors
Weiner, Joan
Heijenoort, Jean van
Frege, Gottlob
Barnes, Jonathan
Besson, Corine
Beaney, Michael
History and Philosophy of Logic
Logica Universalis
Harvard University Press
Librairie Philosophique J. Vrin
Open Court
Vittorio Klostermann
Cambridge University Press
Librarie Philosophique J. Vrin
Philosophy of mathematics
Signs and symbols
Frege, Gottlob
Dedekind, Richard
Russell, Bertrand Arthur William
Gödel, Kurt
Hilbert, David
Riemann, Georg Friedrich Bernhard
Time Periods
19th century
20th century, early
20th century
North America

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