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Russell and Fine on Variable Objects

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2023

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Ito, Ryo

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https://doi.org/10.1007/978-3-031-29415-0_29
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FAROLDI, Federico L. G., Hrsg., Frederik VAN DE PUTTE, Hrsg.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, S. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Verfügbar unter: doi: 10.1007/978-3-031-29415-0_29

Zusammenfassung

In this article we compare Fine’s theory of arbitrary objects with the theory of variables that Russell formulated in his Principles of Mathematics. We argue that Russell’s early theory of variables can be seen as a prefiguration of Fine’s theory of arbitrary objects. The main difference between Russell’s theory and Fine’s account lies in their account of dependence relations between variables. Fine develops a stable view of dependence between arbitrary objects, whereas no such view is presented in Principles of Mathematics. We then sketch how Russell developed the notion of dependence between arbitrary objects in some of his subsequent works.

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100 Philosophie

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Arbitrary objects, Variables, Kit Fine, Russell, Principia Mathematica

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ISO 690HORSTEN, Leon, Ryo ITO, 2023. Russell and Fine on Variable Objects. In: FAROLDI, Federico L. G., Hrsg., Frederik VAN DE PUTTE, Hrsg.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, S. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Verfügbar unter: doi: 10.1007/978-3-031-29415-0_29
BibTex
@incollection{Horsten2023Russe-75627,
  title={Russell and Fine on Variable Objects},
  year={2023},
  doi={10.1007/978-3-031-29415-0_29},
  number={26},
  isbn={978-3-031-29414-3},
  address={Cham},
  publisher={Springer},
  series={Outstanding Contributions to Logic (OCTR)},
  booktitle={Kit Fine on Truthmakers, Relevance, and Non-classical Logic},
  pages={691--704},
  editor={Faroldi, Federico L. G. and Van De Putte, Frederik},
  author={Horsten, Leon and Ito, Ryo}
}
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