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Chapitre D'ouvrage Continuum Studies in British Philosophy Année : 2005

Ramsey and the notion of arbitrary function

Résumé

In his article The Foundations of Mathematics (1925)1 Ramsey was concerned with the nature of the statements of 'pure mathematics' and the way these statements differ from those in empirical sciences. He thought that the answer given to these questions by Hilbert and the formalist school according to which mathematical statements are meaningless formulas, is unsatisfactory for several reasons, which will not be discussed here. He also expressed serious doubts about the intuitionist program developed by Brouwer andWeyl. It is the logicist school of Frege, Russell and Whitehead, which attempted to reduce mathematics to few logical concepts, that came closest to Ramsey's views, although he was not completely satisfied with it, either.
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halshs-00791436 , version 1 (21-02-2013)

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  • HAL Id : halshs-00791436 , version 1

Citer

Gabriel Sandu. Ramsey and the notion of arbitrary function. Maria Jose Frapolli. F. P. Ramsey: Critical Reassessments, Continuum International Publishing Group, pp.237-256, 2005, Continuum Studies in British Philosophy, 978-0826476005. ⟨halshs-00791436⟩
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