The Objectivity of Mathematics

Synthese 156 (2):337-381 (2007)
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Abstract

The purpose of this paper is to apply Crispin Wright’s criteria and various axes of objectivity to mathematics. I test the criteria and the objectivity of mathematics against each other. Along the way, various issues concerning general logic and epistemology are encountered.

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10.1007/s11229-005-5298-y

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Stewart Shapiro
Ohio State University

Citations of this work

Realism.Alexandern D. Miller - 2008 - Stanford Encyclopedia of Philosophy.
Conceptual Structuralism.José Ferreirós - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (1):125-148.
On Radical Enactivist Accounts of Arithmetical Cognition.Markus Pantsar - 2022 - Ergo: An Open Access Journal of Philosophy 9.

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References found in this work

Truth and objectivity.Crispin Wright - 1992 - Cambridge, Mass.: Harvard University Press.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Truth and other enigmas.Michael Dummett - 1978 - Cambridge: Harvard University Press.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.

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