Absence perception and the philosophy of zero

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2020
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Barton, Neil
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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.

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Fachgebiet (DDC)
100 Philosophie
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Number cognition, Zero, Absence perception, Ontogeny
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ISO 690BARTON, Neil, 2020. Absence perception and the philosophy of zero. In: Synthese. Springer. 2020, 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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