Palgrave Companion to the Philosophy of Set Theory

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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• Epistemologia e teoria do conhecimento: Filosofia
• Filosofia da Matemátuca
• Teoria dos conjuntos
• Filosofia: a lógica
• Filosofia: metafísica e ontologia

Epistemology;Logic;Set theory;Mathematical objects;Modality