Description
Book SynopsisPart 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.