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Language, Models, and Reality : Weak Existence and a Threefold Correspondence

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2025

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Venturi, Giorgio

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https://doi.org/10.1007/978-3-031-62387-5_14
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ANTOS, Carolin, Hrsg., Neil BARTON, Hrsg., Giorgio VENTURI, Hrsg.. The Palgrave Companion to the Philosophy of Set Theory. Cham: Springer, 2025, S. 359-387. ISBN 978-3-031-62386-8. Verfügbar unter: doi: 10.1007/978-3-031-62387-5_14

Zusammenfassung

How does our language relate to reality? This is a question that is especially pertinent in set theory, where we seem to talk of large infinite entities. Based on an analogy with the use of models in the natural sciences, we argue for a threefold correspondence between our language, models, and reality. We argue that so conceived, the existence of models can be underwritten by a weak notion of existence, where “weak existence” is to be understood as existing in virtue of language.

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100 Philosophie

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ISO 690BARTON, Neil, Giorgio VENTURI, 2025. Language, Models, and Reality : Weak Existence and a Threefold Correspondence. In: ANTOS, Carolin, Hrsg., Neil BARTON, Hrsg., Giorgio VENTURI, Hrsg.. The Palgrave Companion to the Philosophy of Set Theory. Cham: Springer, 2025, S. 359-387. ISBN 978-3-031-62386-8. Verfügbar unter: doi: 10.1007/978-3-031-62387-5_14
BibTex
@incollection{Barton2025Langu-75970,
  title={Language, Models, and Reality : Weak Existence and a Threefold Correspondence},
  year={2025},
  doi={10.1007/978-3-031-62387-5_14},
  isbn={978-3-031-62386-8},
  address={Cham},
  publisher={Springer},
  booktitle={The Palgrave Companion to the Philosophy of Set Theory},
  pages={359--387},
  editor={Antos, Carolin and Barton, Neil and Venturi, Giorgio},
  author={Barton, Neil and Venturi, Giorgio}
}
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