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A General Framework for a Second Philosophy Analysis of Set-Theoretic Methodology

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2024

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Published

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ARBEITER, Sophia, Hrsg., Juliette KENNEDY, Hrsg.. The Philosophy of Penelope Maddy. Cham: Springer International Publishing, 2024, S. 85-105. Outstanding Contributions to Logic (OCTR). 31. ISBN 978-3-031-58424-4. Verfügbar unter: doi: 10.1007/978-3-031-58425-1_8

Zusammenfassung

Penelope Maddy’s Second Philosophy is one of the most well-known approaches in recent philosophy of mathematics. She applies her second-philosophical method to analyze mathematical methodology by reconstructing historical cases in a setting of means-ends relations. However, outside of Maddy’s own work, this kind of methodological analysis has not yet been extensively used and analyzed. In the present work, we will make a first step in this direction. We develop a general framework that allows us to clarify the procedure and aims of the Second Philosopher’s investigation into set-theoretic methodology; provides a platform to analyze the Second Philosopher’s methods themselves; and can be applied to further questions in the philosophy of set theory.

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100 Philosophie

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Generous Arena, Consensus-based criteria, Content-based criteria, Subject-based criteria, Methodology

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ISO 690ANTOS, Carolin, Deborah KANT, 2024. A General Framework for a Second Philosophy Analysis of Set-Theoretic Methodology. In: ARBEITER, Sophia, Hrsg., Juliette KENNEDY, Hrsg.. The Philosophy of Penelope Maddy. Cham: Springer International Publishing, 2024, S. 85-105. Outstanding Contributions to Logic (OCTR). 31. ISBN 978-3-031-58424-4. Verfügbar unter: doi: 10.1007/978-3-031-58425-1_8
BibTex
@incollection{Antos2024-10-16Gener-75471,
  title={A General Framework for a Second Philosophy Analysis of Set-Theoretic Methodology},
  year={2024},
  doi={10.1007/978-3-031-58425-1_8},
  number={31},
  isbn={978-3-031-58424-4},
  address={Cham},
  publisher={Springer International Publishing},
  series={Outstanding Contributions to Logic (OCTR)},
  booktitle={The Philosophy of Penelope Maddy},
  pages={85--105},
  editor={Arbeiter, Sophia and Kennedy, Juliette},
  author={Antos, Carolin and Kant, Deborah}
}
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