A Miracle Creed The Principle of Optimality in Leibniz's Physics and Philosophy

A rival to Isaac Newton in mathematics and physics, Gottfried Wilhelm Leibniz believed that our world--the best of all possible worlds--must be governed by a principle of optimality. This book explores Leibniz's pursuit of optimality in five of his most important works in natural philosophy and shows how his principle of optimality bridges his scientific and philosophical studies. The first chapter explores Leibniz's work on the laws of optics and its implications for his defense of natural teleology. The second chapter examines Leibniz's work on the breaking strength of rigid beams and its implications for his thinking about the metaphysical foundations of the material world. The third chapter revisits Leibniz's famous defense of the conservation of vis viva and proposes a novel account of the origin of Leibniz's mature natural philosophy. The fourth chapter takes up Leibniz's efforts to determine the shape of freely hanging chains--the so-called problem of the catenary--and shows how that work provides an illuminating model for his thinking about the teleological structure of wills. Finally, the fifth chapter uses Leibniz's derivation of the path of quickest descent--his solution to the so-called problem of the Brachistochrone--and its historical context as a springboard for an exploration of the legacy of Leibniz's physics. The book closes with a brief discussion of the systematicity of Leibniz's thinking in philosophy and the natural sciences.

Jeffrey K. McDonough is a Professor of Philosophy at Harvard University. His research focuses on the intersection of philosophy, science, and religion in the early modern era. He has written numerous articles on philosophy in the early modern period. His edited volume on the history of the concept
of teleology, Teleology: A History was recently published by Oxford University Press (2020). He is currently at work on a textbook on the philosophy of religion entitled Saints, Heretics and Atheists: A Historical Introduction to the Philosophy of Religion also to be published by Oxford University
Press.

Introduction
Chapter 1. Optics and Immanent Lawful Teleology
Chapter 2. Rigid Beams and the Foundations of Physics
Chapter 3. Vis viva and the Origins of Leibniz's Natural Philosophy
Chapter 4. Hanging Chains and Monadic Agency
Chapter 5. Falling Bodies and the Rise of Variational Mechanics
Epilogue