The Palgrave Companion to the Philosophy of Set Theory

書誌詳細
団体著者: SpringerLink (Online service)
その他の著者: Antos, Carolin (編集者), Barton, Neil (編集者), Venturi, Giorgio (編集者)
要約:XV, 393 p.
text
言語:英語
出版事項: Cham : Springer Nature Switzerland : Imprint: Palgrave Macmillan, 2025.
版:1st ed. 2025.
シリーズ:Palgrave Companions,
主題:
オンライン・アクセス:https://doi.org/10.1007/978-3-031-62387-5
フォーマット: 電子媒体 図書
目次:
  • Chapter 1. Introduction
  • Part I Epistemology
  • Chapter 2.The Problem of Existence forDescriptivism About the Reference of Set-Theoretic Expressions
  • Chapter 3. Intuition and Observation
  • Chapter 4. Arealism, ThinRealism, and the Problem of Extrinsic Evidence
  • Chapter 5. The Hidden Use of New Axioms
  • Part II Formal Theories
  • Chapter 6. The Iterative Notion of Function and the Iterative Notion of Set
  • Chapter 7. What Set Theory Could Not Be About
  • Chapter 8. Hamkins’ Analogy Between Set Theory and Geometry: Pluralism by Leveling Up?
  • Chapter 9. Basic Mathematics Beyond Classicality
  • Part III Ontology
  • Chapter 10. Iteration and Dependence Again
  • Chapter 11. What Is Forcing Potentialism?
  • Chapter 12. On the Consistency of Height and Width Potentialism
  • Chapter 13. Higher-Order Platonism and Multiversism
  • Chapter 14. Language, Models, and Reality: Weak Existence and a Threefold Correspondence.