Leon HorstenThe Metaphysics and Mathematics of Arbitrary Objects
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).
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.