Numbers and Everything

Philosophia Mathematica 21 (3):297-308 (2013)
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Abstract

I begin by drawing a parallel between the intuitionistic understanding of quantification over all natural numbers and the generality relativist understanding of quantification over absolutely everything. I then argue that adoption of an intuitionistic reading of relativism not only provides an immediate reply to the absolutist's charge of incoherence but it also throws a new light on the debates surrounding absolute generality.

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Gonçalo Santos
Universidade de Lisboa

Citations of this work

Unrestricted Quantification.Salvatore Florio - 2014 - Philosophy Compass 9 (7):441-454.
Dummett on Indefinite Extensibility.Øystein Linnebo - 2018 - Philosophical Issues 28 (1):196-220.
Quantifiers and Quantification.Gabriel Uzquiano - 2014 - Stanford Encyclopedia of Philosophy.
The Inexpressibility Objection.Filippo Costantini - 2018 - Kriterion - Journal of Philosophy 32 (2):25-46.

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References found in this work

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Frege.Michael Dummett - 1973 - Cambridge, Mass.: Harvard University Press.
Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Everything.Timothy Williamson - 2003 - Philosophical Perspectives 17 (1):415–465.

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