On a theorem of Feferman

Philosophical Studies 38 (2):129 - 140 (1980)
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Abstract

In this paper I argue that Feferman's theorem does not signify the existence of skeptic-satisfying consistency proofs. However, my argument for this is much different than other arguments (most particularly Resnik's) for the same claim. The argument that I give arises form an analysis of the notion of 'expression', according to which the specific character of that notion is seen as varying from one context of application (of a result of arithmetic metamathematics) to another.

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Michael Detlefsen
Last affiliation: University of Notre Dame

Citations of this work

What is categorical structuralism?Geoffrey Hellman - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 151--161.
On the Depth of Gödel’s Incompleteness Theorems.Yong Cheng - forthcoming - Philosophia Mathematica.
Louis Joly as a Platonist Painter?Roger Pouivet - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 337--341.

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References found in this work

Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
The foundations of mathematics.Evert Willem Beth - 1959 - Amsterdam,: North-Holland Pub. Co..
Comments on the Foundations of Set Theory.Paul J. Cohen - 1975 - Journal of Symbolic Logic 40 (3):459-460.
On the philosophical significance of consistency proofs.Michael D. Resnik - 1974 - Journal of Philosophical Logic 3 (1/2):133 - 147.
On interpreting Gödel's second theorem.Michael Detlefsen - 1979 - Journal of Philosophical Logic 8 (1):297 - 313.

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