Synthese 197 (9):3823-3850 (2020)
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Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent work in numerical cognition and ontogenetic studies.
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| DOI | 10.1007/s11229-019-02220-x |
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References found in this work BETA
Realism in Mathematics.Penelope Maddy - 1990 - Oxford, England and New York, NY, USA: Oxford University Prress.
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Citations of this work BETA
Mathematical Cognition and Enculturation: Introduction to the Synthese Special Issue.Markus Pantsar - 2020 - Synthese 197 (9):3647-3655.
Phenomenal Roles: A Dispositional Account of Bodily Pain.Simone Gozzano - 2021 - Synthese 199 (3-4):8091-8112.
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