Article ID: CBB001212885

Frege, Carnap, and Explication: “Our Concern Here Is to Arrive at a Concept of Number Usable for the Purpose of Science” (2013)


Lavers, Gregory (Author)

History and Philosophy of Logic
Volume: 34, no. 3
Issue: 3
Pages: 225-241

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

This paper argues that Carnap both did not view and should not have viewed Frege's project in the foundations of mathematics as misguided metaphysics. The reason for this is that Frege's project was to give an explication of number in a very Carnapian sense --- something that was not lost on Carnap. Furthermore, Frege gives pragmatic justification for the basic features of his system, especially where there are ontological considerations. It will be argued that even on the question of the independent existence of abstract objects, Frege and Carnap held remarkably similar views. I close with a discussion of why, despite all this, Frege would not accept the principle of tolerance.


Description Contents:

Includes Series Articles

Article Reck, Erich H. (2013) Frege, Dedekind, and the Origins of Logicism. History and Philosophy of Logic (pp. 242-265). unapi

Article Schirn, Matthias (2013) Frege's Approach to the Foundations of Analysis (1874--1903). History and Philosophy of Logic (pp. 266-292). unapi

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Authors & Contributors
Potter, Michael D.
Heijenoort, Jean van
Bartha, Paul
Beaney, Michael
Tappenden, Jamie
Yap, Audrey
History and Philosophy of Logic
British Journal for the Philosophy of Science
Studies in History and Philosophy of Science
Cahiers François Viète Center for Epistemology and History of Science and Technology (CFV)
Oxford University Press
Harvard University Press
Vittorio Klostermann
Cambridge University Press
Librarie Philosophique J. Vrin
Philosophy of mathematics
Number theory; number concept
Linguistic or semantic analysis
Frege, Gottlob
Carnap, Rudolf
Russell, Bertrand Arthur William
Gödel, Kurt
Dedekind, Richard
Gauss, Carl Friedrich
Time Periods
19th century
20th century
20th century, early
18th century

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