Frege, Russell, Ramsey and the Notion of an Arbitrary Function

In Gabriel Sandu, Marco Panza & Hourya Benis-Sinaceur (eds.), Functions and Generality of Logic: Reflections on Dedekind's and Frege's Logicisms. Cham, Switzerland: Springer Verlag (2015)
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Abstract

The paper argues that unlike Ramsey, Frege and Russell lacked the idea of an arbitrary function and this had important consequences for their foundational programs.

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Ramsey and the notion of arbitrary function.Gabriel Sandu - 2005 - In Maria J. Frapolli Sanz (ed.), F. P. Ramsey. Critical Reassessments. Continuum International Publishing Group. pp. 237-256.
Frege and arbitrary functions.John P. Burgess - 1995 - In William Demopoulos (ed.), Frege's philosophy of mathematics. Cambridge: Harvard University Press. pp. 89--107.

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Gabriel Sandu
University of Helsinki

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