This volume contains essays that examine infinity in early modern philosophy. The essays not only consider the ways that key figures viewed the concept. They also detail how these different beliefs about infinity influenced major philosophical systems throughout the era. These domains include mathematics, metaphysics, epistemology, ethics, science, and theology. Coverage begins with an introduction that outlines the overall importance of infinity to early modern philosophy. It then moves from a general background of infinity (before early modern thought) up through Kant. Readers will learn about the place of infinity in the writings of key early modern thinkers. The contributors profile the work of Descartes, Spinoza, Leibniz, and Kant. Debates over infinity significantly influenced philosophical discussion regarding the human condition and the extent and limits of human knowledge. Questions about the infinity of space, for instance, helped lead to the introduction of a heliocentric solar system as well as the discovery of calculus. This volume offers readers an insightful look into all this and more. It provides a broad perspective that will help advance the present state of knowledge on this important but often overlooked topic.

In recent decades, there has been much scholarly controversy as to the basic ontological commitments of the philosopher Gottfried Wilhelm Leibniz (1646-1716). The old picture of his thought as strictly idealistic, or committed to the ultimate reduction of bodies to the activity of mind, has come under attack, but Leibniz's precise conceptualization of bodies, and the role they play in his system as a whole, is still the subject of much controversy. One thing that has become clear is that in order to understand the nature of body in Leibniz, and the role body plays in his philosophy, it is crucial to pay attention to the related concepts of organism and of corporeal substance, the former being Leibniz's account of the structure of living bodies (which turn out, for him, to be the only sort of bodies there are), and the latter being an inheritance from the Aristotelian hylomorphic tradition which Leibniz appropriates for his own ends. This volume brings together papers from many of the leading scholars of Leibniz's thought, all of which deal with the cluster of questions surrounding Leibniz's philosophy of body.

In Living Mirrors, Ohad Nachtomy examines Leibniz's attempt to "re-enchant" the natural world-that is, to infuse life, purpose, and value into the very foundations of nature, a nature that Leibniz saw as disenchanted by Descartes' and Spinoza's more naturalistic and mechanistic theories. Nachtomy sees Leibniz's nuanced view of infinity- how it differs in the divine as well as human spheres, and its relationship to numerical and metaphysical unity-as key in this effort. Leibniz defined living beings by means of an infinite nested structure particular to what he called "natural machines"-and for him, an intermediate kind of infinity is the defining feature of living beings. Using a metaphor of a "living mirror," Leibniz put forth infinity as crucial to explaining the unity of a living being as well as the harmony between the infinitely small and the infinitely large; in this way, employing infinity and unity, we can better understand life itself, both as a metaphysical principle and as an empirical fact. Nachtomy's sophisticated and novel treatment of the essential themes in Leibniz's work will not only interest Leibniz scholars, but scholars of early modern philosophy and students of the history of philosophy and science as well.

The present volume advances a recent historiographical turn towards the intersection of early modern philosophy and the life sciences by bringing together many of its leading scholars to present the contributions of important but often neglected figures, such as Ralph Cudworth, Nehemiah Grew, Francis Glisson, Hieronymus Fabricius ab Aquapendente, Georg Ernst Stahl, Juan Gallego de la Serna, Nicholas Hartsoeker, Henry More, as well as more familiar figures such as Descartes, Spinoza, Leibniz, Malebranche, and Kant. The contributions to this volume are organized in accordance with the particular problems that living beings and living nature posed for early modern philosophy: the problem of life in general, whether it constitutes something ontologically distinct at all, or whether it can ultimately be exhaustively comprehended "in the same manner as the rest "; the problem of the structure of living beings, by which we understand not just bare anatomy but also physiological processes such as irritability, motion, digestion, and so on; the problem of generation, which might be included alongside digestion and other vital processes, were it not for the fact that it presented such an exceptional riddle to philosophers since antiquity, namely, the riddle of coming-into-being out of - apparent or real - non-being; and, finally, the problem of natural order.

This work presents Leibniz's subtle approach to possibility and explores some of its consequential repercussions in his metaphysics. Ohad Nachtomy presents Leibniz's approach to possibility by exposing his early suppositions, arguing that he held a combinatorial conception of possibility. He considers the transition from possibility to actuality through the notion of agency; the role divine agency plays in actualization; moral agency and human freedom of action and the relation between agency and necessity in comparison to Spinoza. Nachtomy analyzes Leibniz's notion of nested, organic individuals and their peculiar unity, in distinction from his notion of aggregates.

This volume contains essays that examine infinity in early modern philosophy. The essays not only consider the ways that key figures viewed the concept. They also detail how these different beliefs about infinity influenced major philosophical systems throughout the era. These domains include mathematics, metaphysics, epistemology, ethics, science, and theology. Coverage begins with an introduction that outlines the overall importance of infinity to early modern philosophy. It then moves from a general background of infinity (before early modern thought) up through Kant. Readers will learn about the place of infinity in the writings of key early modern thinkers. The contributors profile the work of Descartes, Spinoza, Leibniz, and Kant. Debates over infinity significantly influenced philosophical discussion regarding the human condition and the extent and limits of human knowledge. Questions about the infinity of space, for instance, helped lead to the introduction of a heliocentric solar system as well as the discovery of calculus. This volume offers readers an insightful look into all this and more. It provides a broad perspective that will help advance the present state of knowledge on this important but often overlooked topic.

In recent decades, there has been much scholarly controversy as to the basic ontological commitments of the philosopher Gottfried Wilhelm Leibniz (1646-1716). The old picture of his thought as strictly idealistic, or committed to the ultimate reduction of bodies to the activity of mind, has come under attack, but Leibniz's precise conceptualization of bodies, and the role they play in his system as a whole, is still the subject of much controversy. One thing that has become clear is that in order to understand the nature of body in Leibniz, and the role body plays in his philosophy, it is crucial to pay attention to the related concepts of organism and of corporeal substance, the former being Leibniz's account of the structure of living bodies (which turn out, for him, to be the only sort of bodies there are), and the latter being an inheritance from the Aristotelian hylomorphic tradition which Leibniz appropriates for his own ends. This volume brings together papers from many of the leading scholars of Leibniz's thought, all of which deal with the cluster of questions surrounding Leibniz's philosophy of body.

This book reveals a thread that runs through Leibniz s metaphysics: from his logical notion of possible individuals to his notion of actual, nested ones. It presents Leibniz s subtle approach to possibility and explores some of its consequential repercussions in his metaphysics. The book provides an original approach to the questions of individuation and relations in Leibniz, offering a novel account of Leibniz s notion of Nested Individuals."