Frege's proof of referentiality

Notre Dame Journal of Formal Logic 45 (2):73-98 (2004)
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Abstract

I present a novel interpretation of Frege’s attempt at Grundgesetze I §§29-31 to prove that every expression of his language has a unique reference. I argue that Frege’s proof is based on a contextual account of reference, similar to but more sophisticated than that enshrined in his famous Context Principle. Although Frege’s proof is incorrect, I argue that the account of reference on which it is based is of potential philosophical value, and I analyze the class of cases to which it may successfully be applied.

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Øystein Linnebo
University of Oslo

Citations of this work

Predicative fragments of Frege arithmetic.Øystein Linnebo - 2004 - Bulletin of Symbolic Logic 10 (2):153-174.
Frege and semantics.Richard G. Heck - 2007 - Grazer Philosophische Studien 75 (1):27-63.
Bad company tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.

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References found in this work

Frege’s Conception of Numbers as Objects.Crispin Wright - 1983 - Critical Philosophy 1 (1):97.
The Interpretation of Fregeʼs Philosophy.Michael Dummett - 1980 - Cambridge: Harvard University Press.
The foundations of arithmetic.Gottlob Frege - 1950 - Oxford,: Blackwell.
The Interpretation of Frege's Philosophy.Michael Dummett - 1984 - Philosophical Quarterly 34 (136):402-414.

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