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)

unapi

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.

...More

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

Citation URI
https://data.isiscb.org/isis/citation/CBB001212885/

Similar Citations

Article Schirn, Matthias; (2010)
On Translating Frege's Die Grundlagen der Arithmetik (/isis/citation/CBB001210971/)

Book Kurt Godel; Solomon Feferman; John W. Dawson; Warren Goldfarb; Charles Parsons; Wilfried Sieg; (2013)
Kurt Gödel: Collected Works: Volume IV (/isis/citation/CBB660754544/)

Article Mark Textor; (2021)
Saying Something about a Concept: Frege on Statements of Number (/isis/citation/CBB227044624/)

Chapter Sandu, Gabriel; Aho, Tuomo; (2009)
Logic and Semantics in the Twentieth Century (/isis/citation/CBB001210354/)

Book Potter, Michael; (2000)
Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap (/isis/citation/CBB000110939/)

Article Reck, Erich H.; (2013)
Frege, Dedekind, and the Origins of Logicism (/isis/citation/CBB001212886/)

Book Ricketts, Tom; Potter, Michael D.; (2010)
The Cambridge Companion to Frege (/isis/citation/CBB001211647/)

Article John Woods; (2021)
What did Frege take Russell to have proved? (/isis/citation/CBB858610340/)

Chapter Tappenden, Jamie; (2006)
The Riemannian Background to Frege's Philosophy (/isis/citation/CBB000800119/)

Chapter Beaney, Michael; (2006)
Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics (/isis/citation/CBB000800117/)

Book Philip A. Ebert; Marcus Rossberg; (2017)
Abstractionism: Essays in Philosophy of Mathematics (/isis/citation/CBB220910667/)

Chapter Awodey, S.; (2003)
Carnap vs. Gödel on Syntax and Tolerance (/isis/citation/CBB001213683/)

Book Heijenoort, Jean van; (2002)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931 (/isis/citation/CBB000201415/)

Chapter Weiner, Joan; (2010)
Understanding Frege's Project (/isis/citation/CBB001211648/)

Article Bartha, Paul; (2004)
Countable Additivity and the de Finetti Lottery (/isis/citation/CBB000410760/)

Article Glasberg, Ronald; (2003)
Mathematics and Spiritual Interpretation: A Bridge to Genuine Interdisciplinarity (/isis/citation/CBB000411132/)

Authors & Contributors
Potter, Michael D.
Ebert, Philip A.
Rossberg, Marcus
Woods, John
Weiner, Joan
Textor, Mark
Concepts
Philosophy of mathematics
Mathematics
Logic
Number theory; number concept
Philosophy
Linguistic or semantic analysis
Time Periods
19th century
20th century
20th century, early
Places
Germany
China
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment