This book develops a new theory of arbitrary entities and connects it to issues and debates in metaphysics and contemporary philosophy of mathematics. It investigates the relation between particular and arbitrary objects, and between particular and arbitrary systems of objects. These concepts are then applied to problems in philosophy of mathematics.
This book develops a new theory of arbitrary entities and connects it to issues and debates in metaphysics and contemporary philosophy of mathematics. It investigates the relation between particular and arbitrary objects, and between particular and arbitrary systems of objects. These concepts are then applied to problems in philosophy of mathematics.
Leon Horsten is Professor of Philosophy at the University of Bristol. His publications include The Tarskian Turn: Deflationism and Axiomatic Truth (2011) and Gödel's Disjunction: The Scope and Limits of Mathematical Knowledge (co-edited with Philip Welch, 2016).
Inhaltsangabe
1. Introduction 2. Metaphysics of mathematics 3. Arbitrary objects 4. Mathematical objects as arbitrary objects 5. Structure in mathematics 6. Mathematical structures 7. Kit fine 8. Generic systems and mathematical structuralism 9. Reasoning about generic w-sequences 10. Probability and random variables 11. Directions for future research.
1. Introduction 2. Metaphysics of mathematics 3. Arbitrary objects 4. Mathematical objects as arbitrary objects 5. Structure in mathematics 6. Mathematical structures 7. Kit fine 8. Generic systems and mathematical structuralism 9. Reasoning about generic w-sequences 10. Probability and random variables 11. Directions for future research.
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