Publikation:

Explanation in Descriptive Set Theory

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2024

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Colyvan, Mark

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ROBERTSON, Katie, Hrsg., Alastair WILSON, Hrsg.. Levels of Explanation. Oxford: Oxford University Press, 2024, S. 289-309. ISBN 978-0-19-286294-5. Verfügbar unter: doi: 10.1093/oso/9780192862945.003.0014

Zusammenfassung

In this paper we investigate explanatory proofs in mathematics. We do this via an extended case study from descriptive set theory. The aim is to shed light on what makes explanatory proofs explanatory. Building on earlier work, we argue that there may be more than one notion of explanation in operation in mathematics: there does not seem to be a single account that ties together the different explanatory proofs we find in the various areas of mathematics. We then attempt to give a characterisation of the different notions of explanation in play and how these sit with accounts of explanation found elsewhere.

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Fachgebiet (DDC)
100 Philosophie

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explanation in mathematics, mathematical explanation, explanatory pluralism, set theory, philosophy of mathematics, explanatory proofs

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ISO 690ANTOS, Carolin, Mark COLYVAN, 2024. Explanation in Descriptive Set Theory. In: ROBERTSON, Katie, Hrsg., Alastair WILSON, Hrsg.. Levels of Explanation. Oxford: Oxford University Press, 2024, S. 289-309. ISBN 978-0-19-286294-5. Verfügbar unter: doi: 10.1093/oso/9780192862945.003.0014
BibTex
@incollection{Antos2024-12-31Expla-75929,
  title={Explanation in Descriptive Set Theory},
  year={2024},
  doi={10.1093/oso/9780192862945.003.0014},
  isbn={978-0-19-286294-5},
  address={Oxford},
  publisher={Oxford University Press},
  booktitle={Levels of Explanation},
  pages={289--309},
  editor={Robertson, Katie and Wilson, Alastair},
  author={Antos, Carolin and Colyvan, Mark}
}
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