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Absence perception and the philosophy of zero
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...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Netherlands
2019
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7437648/ https://www.ncbi.nlm.nih.gov/pubmed/32848285 http://dx.doi.org/10.1007/s11229-019-02220-x |
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author | Barton, Neil |
author_facet | Barton, Neil |
author_sort | Barton, Neil |
collection | PubMed |
description | 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 (1) an account of numbers as properties of collections, (2) work on the philosophy of absences, and (3) recent work in numerical cognition and ontogenetic studies. |
format | Online Article Text |
id | pubmed-7437648 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-74376482020-08-24 Absence perception and the philosophy of zero Barton, Neil Synthese S.I.: MathCogEncul 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 (1) an account of numbers as properties of collections, (2) work on the philosophy of absences, and (3) recent work in numerical cognition and ontogenetic studies. Springer Netherlands 2019-05-06 2020 /pmc/articles/PMC7437648/ /pubmed/32848285 http://dx.doi.org/10.1007/s11229-019-02220-x Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | S.I.: MathCogEncul Barton, Neil Absence perception and the philosophy of zero |
title | Absence perception and the philosophy of zero |
title_full | Absence perception and the philosophy of zero |
title_fullStr | Absence perception and the philosophy of zero |
title_full_unstemmed | Absence perception and the philosophy of zero |
title_short | Absence perception and the philosophy of zero |
title_sort | absence perception and the philosophy of zero |
topic | S.I.: MathCogEncul |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7437648/ https://www.ncbi.nlm.nih.gov/pubmed/32848285 http://dx.doi.org/10.1007/s11229-019-02220-x |
work_keys_str_mv | AT bartonneil absenceperceptionandthephilosophyofzero |