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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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Detalles Bibliográficos
Autor principal: Barton, Neil
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2019
Materias:
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
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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.
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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
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