Absence perception and the philosophy of zero

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2020
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Synthese ; 197 (2020), 9. - S. 3823-3850. - Springer. - ISSN 0039-7857. - eISSN 1573-0964
Zusammenfassung
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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
100 Philosophie
Schlagwörter
Number cognition, Zero, Absence perception, Ontogeny
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Zitieren
ISO 690BARTON, Neil, 2020. Absence perception and the philosophy of zero. In: Synthese. Springer. 197(9), pp. 3823-3850. ISSN 0039-7857. eISSN 1573-0964. Available under: doi: 10.1007/s11229-019-02220-x
BibTex
@article{Barton2020Absen-52733,
  year={2020},
  doi={10.1007/s11229-019-02220-x},
  title={Absence perception and the philosophy of zero},
  number={9},
  volume={197},
  issn={0039-7857},
  journal={Synthese},
  pages={3823--3850},
  author={Barton, Neil}
}
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