Contents
Acknowledgments
Foreword by Michael J. Dodds, OP
Introduction
Essentialism, Nominalism, and Platonism
Mathematical Laws of Natureand Essentialism
The Peripatetic Axiom versus A Priori Knowledge
Apologia
Chapter 1. Descartes, Modern Science, and Scholasticism
Descartes’s Methodversus Scholastic Abstraction
Body as Extension Aloneversus Body as Matter and Form
Laws of Nature and Occasionalismversus a Creator God of Active Substances
Chapter 2. Causation and the Problem of Induction
The Problem of Induction
Critique of Humean Skepticism
The Aristotelian Picture
Conclusion
Chapter 3. Quantum Mechanics, Act, and Potency
Potency and Quantum Mechanics
Wave Functions as Mathematical Expressions of Potentiality
The Act of Measurement and the Actualization of the Particle
Conclusion
Chapter 4. Mathematical Abstraction
Metaphysics XIII.3: Mathematicals as True Abstractions
Metaphysics I.9 and XIV.5: How Forms, Including Mathematicals, Cannot Be Causes
Metaphysics XIV.6:
Coincidences and Analogies
Conclusion
Chapter 5. Necessity and Teleology
Senses of Necessity
Physics II.9
Matter: Necessary or Contingent? Or: Necessity: Material or Immaterial?
Conclusion: Mathematical Necessity
Chapter 6. Defining the Laws of Nature
Mathematical Constraint and Formal Causality
Abstraction and Necessity
Defining the Laws of Nature
Conclusion: Is “Law” Talk Useful
Conclusion
Appendix: Laws and the Lawgiver
A Creator God
Necessity and Aseity
Divine Ideas and Laws of Nature
Bibliography
Index