From pebbles to planets, tigers to tables, pine trees to people; animate and inanimate, natural and artificial; bodies are everywhere. Bodies populate the world, acting and interacting with one another, and they are the subject-matter of Newton's laws of motion. But what is a body? And how can we know how they behave? In Philosophical Mechanics in the Age of Reason, Katherine Brading and Marius Stan examine the struggle for a theory of bodies. At the beginning of the 18th century, physics was the branch of philosophy that studied bodies in general. Its primary task was to provide a qualitative account of the nature of bodies, including their essential properties, causal powers, and generic behaviors. Pursued by a variety of figures both canonical (from Leibniz to Kant) and less familiar (from Du Châtelet and Euler to d'Alembert and Lagrange), this proved a difficult task. At stake were the appropriate epistemologies and methods for theorizing about the natural world. Solutions demanded the combined resources of philosophy, physics, and mechanics: what Brading and Stan call a "philosophical mechanics." Brading and Stan analyze a century of widespread, concerted efforts to solve "the problem of bodies," they examine the consequences of the many failures, both for the problem itself and for philosophy more generally. They reveal relationships among disparate themes of 18th century physics and philosophy, from the nature of matter to the motion of a vibrating string; causation to the principle of least action; and the role of subtle matter in collision theory to analytic mechanics. All of these, Brading and Stan argue, are related to the eventual emergence of physics as an independent discipline, autonomous from philosophy, more than a century after Newton's Principia. This book provides a new framing of natural philosophy and its transformations in the Enlightenment; and it proposes an account of how physics and philosophy evolved into distinct fields of inquiry.

The centerpiece of Émilie Du Châtelet’s philosophy of science is her Foundations of Physics, first published in 1740. The Foundations contains epistemology, metaphysics, methodology, mechanics, and physics, including such pressing issues of the time as whether there are atoms, the appropriate roles of God and of hypotheses in scientific theorizing, how (if at all) bodies are capable of acting on one another, and whether gravity is an action-at-a-distance force. Du Châtelet sought to resolve these issues within a single philosophical framework that builds on her critique and appraisal of all the leading alternatives (Cartesian, Newtonian, Leibnizian, and so forth) of the period. The text is remarkable for being the first to attempt such a synthetic project, and even more so for the accessibility and clarity of the writing. This book argues that Du Châtelet put her finger on the central problems that lay at the intersection of physics and metaphysics at the time, and tackled them drawing on the most up-to-date resources available. It will be a useful source for students and scholars interested in the history and philosophy of science, and in the impact of women philosophers in the early modern period.

"The Enlightenment's Most Dangerous Woman: Émilie du Châtelet and the Making of Modern Philosophy introduces the work and legacy of philosopher Émilie Du Châtelet. As the Enlightenment gained momentum throughout Europe, Châtelet broke through the many barriers facing women at the time and published a major philosophical treatise in French. Due to her proclamation that a true philosopher must remain an independent thinker rather than a disciple of some supposedly great man like Isaac Newton or René Descartes, Châtelet posed a threat to an emerging consensus in the Enlightenment. The Enlightenment's Most Dangerous Woman highlights the exclusion of women from colleges and academies in Europe and the fear of rupturing the gender-based order"--

This book builds on the path-breaking work of George E. Smith and further explores the notions of evidence and confirmation in the exact sciences from two perspectives: conceptual and historical. Contributions in this volume investigate the philosophical presuppositions, explanatory scope, and historical precursors of evidence in mathematical physics and related disciplines. The papers are written by and of interest to philosophers and historians of science.

In this collection of new and previously published essays, noted philosopher Eric Schliesser offers new interpretations of the signifance of Isaac Newton's metaphysics on his physics and the subsequent development of philosophy more broadly. Schliesser address Newton's account of space, time, gravity, motion, inertia, and laws-all evergreens in the literature; he also breaks new ground in focusing on Newton's philosophy of time, Newton's views on emanation, and Newton's modal metaphysics. In particular, Schliesser explores the rich resonances between Newton's and Spinoza's metaphysics. Schliesser presents a new argument of the ways in which Newton and his circle respond to the treatment and accusations of Spinozism, illuminating both the details of Newton's metaphysics and the content of Spinoza's. Schliesser provides a fine-grained analysis of some of the key metaphysical concepts in Newton's physics, including controversial interpretations of Newton's ideas on space, time, inertia, and necessity. Schliesser restates his provocative interpretation of Newton's views on action at a distance as he was developing the Principia. Newton's Metaphysics contains a substantive introduction, two chapters co-authored with Zvi Biener and with Mary Domski, new chapters on Newton's modal metaphysics and his theology, and two postscripts in which Schliesser responds to some of his most important critics, including Katherine Brading, Andrew Janiak, Hylarie Kochiras, Steffen Ducheyne, and Adwait Parker. The collection presents new and varied analyses on familiar focuses of Newton's work, adding important perspectives to the recent revival of interest in Spinoza's metaphysics.

This introduction explores the history of the 18th-century Enlightenment movement. Considering its intellectual commitments, Robertson then turns to their impact on society, and the ways in which Enlightenment thinkers sought to further the goal of human betterment, by promoting economic improvement and civil and political justice.

This addresses the transformations of metaphysics as a discipline, the emergence of analytical mechanics, the diverging avenues of 18th-century Newtonianism, the body-mind problem, and philosophical principles of classification in the life sciences. An appendix contains a critical edition and first translation into English of Newton's scholia from David Gregory's Estate on the Propositions IV through IX Book III of his Principia.

"Studies the path of natural philosophy (i.e., physics) from Isaac Newton through Scotland into the nineteenth-century background to the modern revolution in physics. Examines how the history of science has been influenced by John Robison and other notable intellectuals of the Scottish Enlightenment"--Provided by publisher.

Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

The eighteenth century saw the creation of a number of remarkable mechanical androids: at least ten prominent automata were built between 1735 and 1810 by clockmakers, court mechanics, and other artisans from France, Switzerland, Austria, and the German lands. Designed to perform sophisticated activities such as writing, drawing, or music making, these “Enlightenment automata” have attracted continuous critical attention from the time they were made to the present, often as harbingers of the modern industrial age, an era during which human bodies and souls supposedly became mechanized. In Androids in the Enlightenment, Adelheid Voskuhl investigates two such automata—both depicting piano-playing women. These automata not only play music, but also move their heads, eyes, and torsos to mimic a sentimental body technique of the eighteenth century: musicians were expected to generate sentiments in themselves while playing, then communicate them to the audience through bodily motions. Voskuhl argues, contrary to much of the subsequent scholarly conversation, that these automata were unique masterpieces that illustrated the sentimental culture of a civil society rather than expressions of anxiety about the mechanization of humans by industrial technology. She demonstrates that only in a later age of industrial factory production did mechanical androids instill the fear that modern selves and societies had become indistinguishable from machines.