Article ID: CBB001212886

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

unapi

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.

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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

Citation URI
https://data.isiscb.org/isis/citation/CBB001212886/

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Authors & Contributors
Weiner, Joan
Haffner, Emmylou
Dunning, David E.
Woods, John
Weber, Heinrich
Thiel, Christian
Concepts
Logic
Philosophy of mathematics
Mathematics
Philosophy
Signs and symbols
Number theory; number concept
Time Periods
19th century
20th century, early
20th century
Places
North America
Germany
Europe
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