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Absence Perception and the Philosophy of Zero

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
Creators:
CreatorsEmailORCID
Barton, Neilbartonna@gmail.com0000-0002-3637-1730
Keywords: zero, absence perception, number cognition
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics
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
Date: 2018
URI: https://philsci-archive.pitt.edu/id/eprint/15925

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