The Palgrave companion to the philosophy of set theory / Carolin Antos, Neil Barton, Giorgio Venturi, editors.

Format:

Book

Contributor:

Antos, Carolin, editor.

Barton, Neil, editor.

Venturi, Giorgio, editor.

EBSCOhost

Series:

Palgrave companions, 3004-9180

Language:

English

Subjects (All):

Set theory--Philosophy.

Set theory.

Physical Description:

1 online resource (xv, 393 pages).

Place of Publication:

Cham : Palgrave Macmillan, 2025.

Contents:

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.

Notes:

Electronic reproduction. Ipswich, MA Available via World Wide Web.

Description based upon online resource; title from PDF title page (viewed April 23rd, 2025).

ISBN:

9783031623875

3031623878

Publisher Number:

90102076223

Access Restriction:

Restricted for use by site license.