Grundgesetze der arithmetic I §10
Philosophia Mathematica 7 (3):258-292 (1999)
| Abstract | In section 10 of Grundgesetze, Frege confronts an indeterm inacy left by his stipulations regarding his ‘smooth breathing’, from which names of valueranges are formed. Though there has been much discussion of his arguments, it remains unclear what this indeterminacy is; why it bothers Frege; and how he proposes to respond to it. The present paper attempts to answer these questions by reading section 10 as preparatory for the (fallacious) proof, given in section 31, that every expression of Frege's formal language denotes. | |||||||||
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Matthias Schirn (1996). O Principio Do Contexto Nas Grundgesetze de Frege (the Context Principle in Frege's Grundgesetze). Theoria 11 (3):177-201.
Fernando Ferreira & Kai F. Wehmeier (2002). On the Consistency of the Δ11-CA Fragment of Frege's Grundgesetze. Journal of Philosophical Logic 31 (4):301-311.
Richard Heck (2007). Frege and Semantics. Grazer Philosophische Studien 75 (1):27-63.
G. Frege (1960). Grundgesetze der Arithmetik. Section 56ff. In P. Geach & M. Black (eds.), Translations From the Philosophical Writings of Gottlob Frege. Blackwell.
Richard Heck (1996). The Consistency of Predicative Fragments of Frege's Grundgesetze der Arithmetik. History and Philosophy of Logic 17 (1):209-220.
Richard Heck (1995). Definition by Induction in Frege's Grundgesetze der Arithmetik. In W. Demopoulos (ed.), Frege's Philosophy of Mathematics. OUP.
Fernando Ferreira (2005). Amending Frege's "Grundgesetze der Arithmetik" to the Memory of Nhê (1925-2001). Synthese 147 (1):3 - 19.
Richard Heck & George Boolos (1998). Die Grundlagen der Arithmetik §§82-83. In M. Schirn (ed.), Philosophy of Mathematics Today. OUP.
Fernando Ferreira (2005). Amending Frege's Grundgesetze der Arithmetik. Synthese 147 (1).
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
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