The Palgrave Companion to the Philosophy of Set Theory

Библиографические подробности
Автор-организация:	SpringerLink (Online service)
Другие авторы:	Antos, Carolin (Редактор), Barton, Neil (Редактор), Venturi, Giorgio (Редактор)
Примечания:	XV, 393 p. text
Язык:	английский
Опубликовано:	Cham : Springer Nature Switzerland : Imprint: Palgrave Macmillan, 2025.
Издание:	1st ed. 2025.
Серии:	Palgrave Companions,
Предметы:	Mathematics > Philosophy. Logic. Knowledge, Theory of. Metaphysics. Philosophy of Mathematics. Formal Logic. Epistemology.
Online-ссылка:	https://doi.org/10.1007/978-3-031-62387-5
Формат:	Электронный ресурс Книга

Оглавление:

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.

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