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 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 recent work in numerical cognition with a philosophical account of absence perception.
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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: | 06 May 2018 15:34 | ||||||
| Last Modified: | 06 May 2018 15:34 | ||||||
| Item ID: | 14639 | ||||||
| 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/14639 |
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