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Book Synopsis

Part I: Epistemology.- Chapter 1. Zeynep Soysal The Problem of Existence for Descriptivism About the Reference of Set-Theoretic Expressions.- Chapter 2. Justin Clarke-Doane and Avner Ash Intuition and Observation.- Chapter 3. Jeffrey Schatz Arealism, Thin Realism, and the Problem of Extrinsic Evidence.- Chapter 4. Deborah Kant The Hidden Use of New Axioms.- Part II: Formal Theories.- Chapter 5. Tim Button The Iterative Notion of Function and the Iterative Notion of Set.- Chapter 6. Toby Meadows What Set Theory Could Not Be About.- Chapter 7. Sharon Berry Hamkins' Analogy Between Set Theory and Geometry: Pluralism by Levelling Up?.- Chapter 8. Sourav Tarafder Basic Mathematics Beyond Classicality.- Part III: Ontology.- Chapter 9. Luca Incurvati Iteration and Dependence Again.- Chapter 10. Ethan Brauer What Is Forcing Potentialism?.- Chapter 11. Chris Scambler On the Consistency of Height and Width Potentialism.- Chapter 12. Claudio Ternullo Higher-Order Platonism and Multiversism.- Chapter 13. Neil Barton and Giorgio Venturi Language, Models, and Reality: Weak Existence and a Threefold Correspondence.

The Palgrave Companion to the Philosophy of Set Theory

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    A Hardback by Carolin Antos

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      Publisher: Palgrave Macmillan
      Publication Date: Publication Date: 7/18/2025
      ISBN13: 9783031623868, 978-3031623868
      ISBN10: 303162386X

      Description

      Book Synopsis

      Part I: Epistemology.- Chapter 1. Zeynep Soysal The Problem of Existence for Descriptivism About the Reference of Set-Theoretic Expressions.- Chapter 2. Justin Clarke-Doane and Avner Ash Intuition and Observation.- Chapter 3. Jeffrey Schatz Arealism, Thin Realism, and the Problem of Extrinsic Evidence.- Chapter 4. Deborah Kant The Hidden Use of New Axioms.- Part II: Formal Theories.- Chapter 5. Tim Button The Iterative Notion of Function and the Iterative Notion of Set.- Chapter 6. Toby Meadows What Set Theory Could Not Be About.- Chapter 7. Sharon Berry Hamkins' Analogy Between Set Theory and Geometry: Pluralism by Levelling Up?.- Chapter 8. Sourav Tarafder Basic Mathematics Beyond Classicality.- Part III: Ontology.- Chapter 9. Luca Incurvati Iteration and Dependence Again.- Chapter 10. Ethan Brauer What Is Forcing Potentialism?.- Chapter 11. Chris Scambler On the Consistency of Height and Width Potentialism.- Chapter 12. Claudio Ternullo Higher-Order Platonism and Multiversism.- Chapter 13. Neil Barton and Giorgio Venturi Language, Models, and Reality: Weak Existence and a Threefold Correspondence.

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