Barton, Neil (2018) Absence Perception and the Philosophy of Zero. [Preprint]
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Abstract
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 (i) an account of numbers as properties of collections, (ii) work on the philosophy of absences, and (iii) recent work in numerical cognition and ontogenetic studies.
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Item Type: | Preprint | ||||||
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Keywords: | zero, absence perception, number cognition | ||||||
Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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Depositing User: | Dr. Neil Barton | ||||||
Date Deposited: | 22 Apr 2019 13:38 | ||||||
Last Modified: | 22 Apr 2019 13:38 | ||||||
Item ID: | 15925 | ||||||
Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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Date: | 2018 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/15925 |
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Absence Perception and the Philosophy of Zero. (deposited 06 May 2018 15:34)
- Absence Perception and the Philosophy of Zero. (deposited 22 Apr 2019 13:38) [Currently Displayed]
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