Lavers, Gregory (Author)
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.
...MoreDescription Contents:
Article Reck, Erich H. (2013) Frege, Dedekind, and the Origins of Logicism. History and Philosophy of Logic (pp. 242-265).
Article Schirn, Matthias (2013) Frege's Approach to the Foundations of Analysis (1874--1903). History and Philosophy of Logic (pp. 266-292).
Article
Schirn, Matthias;
(2010)
On Translating Frege's Die Grundlagen der Arithmetik
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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
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Article
Kraal, Anders;
(2013)
The Emergence of Logical Formalization in the Philosophy of Religion: Genesis, Crisis, and Rehabilitation
(/isis/citation/CBB001213917/)
Chapter
Sandu, Gabriel;
Aho, Tuomo;
(2009)
Logic and Semantics in the Twentieth Century
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Book
Potter, Michael;
(2000)
Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap
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Book
Ricketts, Tom;
Potter, Michael D.;
(2010)
The Cambridge Companion to Frege
(/isis/citation/CBB001211647/)
Article
Reck, Erich H.;
(2013)
Frege, Dedekind, and the Origins of Logicism
(/isis/citation/CBB001212886/)
Book
Philip A. Ebert;
Marcus Rossberg;
(2017)
Abstractionism: Essays in Philosophy of Mathematics
(/isis/citation/CBB220910667/)
Book
Künne, Wolfgang;
(2010)
Die Philosophische Logik Gottlob Freges: ein Kommentar; mit den Texten des Vorworts zu Grundgesetze der Arithmetik und der Logischen Untersuchungen I--IV
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Chapter
Beaney, Michael;
(2006)
Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics
(/isis/citation/CBB000800117/)
Chapter
Awodey, S.;
(2003)
Carnap vs. Gödel on Syntax and Tolerance
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Article
John Woods;
(2021)
What did Frege take Russell to have proved?
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Chapter
Tappenden, Jamie;
(2006)
The Riemannian Background to Frege's Philosophy
(/isis/citation/CBB000800119/)
Book
Richard Dedekind;
Heinrich Weber;
(2019)
Theorie Des Fonctions Algebriques d'Une Variable
(/isis/citation/CBB160173996/)
Article
Paolo Rossini;
(2020)
Changing conceptions of mathematics and infinity in Giordano Bruno’s vernacular and Latin works
(/isis/citation/CBB044626758/)
Article
Yap, Audrey;
(2011)
Gauss' Quadratic Reciprocity Theorem and Mathematical Fruitfulness
(/isis/citation/CBB001024184/)
Chapter
Weiner, Joan;
(2010)
Understanding Frege's Project
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Book
Heijenoort, Jean van;
(2002)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931
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Article
Bartha, Paul;
(2004)
Countable Additivity and the de Finetti Lottery
(/isis/citation/CBB000410760/)
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