Grundlagen, Section 64: Frege's Discussion of Definitions by Abstraction in Historical Context

History and Philosophy of Logic 36 (1):62-89 (2015)
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Abstract

I offer in this paper a contextual analysis of Frege's Grundlagen, section 64. It is surprising that with so much ink spilled on that section, the sources of Frege's discussion of definitions by abstraction have remained elusive. I hope to have filled this gap by providing textual evidence coming from, among other sources, Grassmann, Schlömilch, and the tradition of textbooks in geometry for secondary schools . In addition, I put Frege's considerations in the context of a widespread debate in Germany on ‘directions’ as a central notion in the theory of parallels

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10.1080/01445340.2014.967950

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Paolo Mancosu
University of California, Berkeley

Citations of this work

The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2019 - British Journal for the Philosophy of Science 70 (4):1201-1226.
The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2017 - British Journal for the Philosophy of Science:axy004.
Frege on Sense Identity, Basic Law V, and Analysis.Philip A. Ebert - 2016 - Philosophia Mathematica 24 (1):9-29.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The Frege reader.Gottlob Frege & Michael Beaney (eds.) - 1997 - Cambridge, Mass.: Blackwell.
Posthumous Writings.Gottlob Frege (ed.) - 1979 - Blackwell.
Collected Papers on Mathematics, Logic, and Philosophy.Gottlob Frege - 1991 - Wiley-Blackwell. Edited by Brian McGuinness.

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