1. Epistemology & Nominalism.- 2. What Is Abstraction & What Is It Good For?.- 3. Beliefs About Mathematical Objects.- 5. Field & Fregean Platonism.- 5. ? in The Sky.- 6. Nominalism.- 7. The Logic of Physical Theory.- 8. Knowledge of Mathematical Objects.- 9. Physicalism, Reductionism & Hilbert.- 10. Physicalistic Platonism.- 11. Sets are Universals.- 12. Modal-Structural Mathematics.- 13. Logical & Philosophical Foundations for Arithmetical Logic.- 14. Criticisms of the Usual Rationale for Validity in Mathematics.- Contributors.- Index of Proper Names.

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