Studia Leibnitiana


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Studia Leibnitiana


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Leibniz and the Natural World


Book Description

In the present book, Pauline Phemister argues against traditional Anglo-American interpretations of Leibniz as an idealist who conceives ultimate reality as a plurality of mind-like immaterial beings and for whom physical bodies are ultimately unreal and our perceptions of them illusory. Re-reading the texts without the prior assumption of idealism allows the more material aspects of Leibniz's metaphysics to emerge. Leibniz is found to advance a synthesis of idealism and materialism. His ontology posits indivisible, living, animal-like corporeal substances as the real metaphysical constituents of the universe; his epistemology combines sense-experience and reason; and his ethics fuses confused perceptions and insensible appetites with distinct perceptions and rational choice. In the light of his sustained commitment to the reality of bodies, Phemister re-examines his dynamics, the doctrine of pre-established harmony and his views on freedom. The image of Leibniz as a rationalist philosopher who values activity and reason over passivity and sense-experience is replaced by the one of a philosopher who recognises that, in the created world, there can only be activity if there is also passivity; minds, souls and forms if there is also matter; good if there is evil; perfection if there is imperfection.




Studia Leibnitiana


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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century


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1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.




The Problem of Universals in Early Modern Philosophy


Book Description

This is a collection of essays from an international group of scholars that explore the ways in which the ancient problem of universals was transformed in modern philosophy. Essays consider the various forms of "Platonism," "conceptualism" and "nominalism" in the writings of a broad range of modern thinkers.




The Bloomsbury Companion to Leibniz


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The Bloomsbury Companion to Leibniz presents a comprehensive and authoritative introduction to the life, thought and work of one of the great polymaths of the modern world, G.W. Leibniz. This guide enriches the reader's understanding of Leibniz by establishing the philosophies of, and Leibniz's reactions to, his most important philosophical contemporaries from Descartes to Malebranche. While addressing current philosophical research in Leibniz studies such as his metaphysics, logic and theory of free will, a leading team of experts in the field demonstrate that Leibniz's work was wider in scope. Examining new directions in this field they cover a number of Leibniz's concerns outside of philosophy including mathematics, physics, and the life sciences. The Companion concludes by offering analysis of Leibniz's legacy; his impact on further study, particularly on his successor Immanuel Kant, and how he has subsequently been understood. Together with extended biographical sketches and an up-to-date and fully comprehensive bibliography, The Bloomsbury Companion to Leibniz is an extremely valuable study tool for students and scholars interested in Leibniz and the era in which he wrote.




Divine Machines


Book Description

Though it did not yet exist as a discrete field of scientific inquiry, biology was at the heart of many of the most important debates in seventeenth-century philosophy. Nowhere is this more apparent than in the work of G. W. Leibniz. In Divine Machines, Justin Smith offers the first in-depth examination of Leibniz's deep and complex engagement with the empirical life sciences of his day, in areas as diverse as medicine, physiology, taxonomy, generation theory, and paleontology. He shows how these wide-ranging pursuits were not only central to Leibniz's philosophical interests, but often provided the insights that led to some of his best-known philosophical doctrines. Presenting the clearest picture yet of the scope of Leibniz's theoretical interest in the life sciences, Divine Machines takes seriously the philosopher's own repeated claims that the world must be understood in fundamentally biological terms. Here Smith reveals a thinker who was immersed in the sciences of life, and looked to the living world for answers to vexing metaphysical problems. He casts Leibniz's philosophy in an entirely new light, demonstrating how it radically departed from the prevailing models of mechanical philosophy and had an enduring influence on the history and development of the life sciences. Along the way, Smith provides a fascinating glimpse into early modern debates about the nature and origins of organic life, and into how philosophers such as Leibniz engaged with the scientific dilemmas of their era.




The Fold


Book Description

In The Fold, Laura U. Marks offers a practical philosophy and aesthetic theory for living in an infinitely connected cosmos. Drawing on the theories of Leibniz, Glissant, Deleuze, and theoretical physicist David Bohm—who each conceive of the universe as being folded in on itself in myriad ways—Marks contends that the folds of the cosmos are entirely constituted of living beings. From humans to sandwiches to software to stars, every entity is alive and occupies its own private enclosure inside the cosmos. Through analyses of fiction, documentary, and experimental movies, interactive media, and everyday situations, Marks outlines embodied methods for detecting and augmenting the connections between each living entity and the cosmos. She shows that by affectively mediating with the ever-shifting folded relations within the cosmos, it is possible to build “soul-assemblages” that challenge information capitalism, colonialism, and other power structures and develop new connections with the infinite. With this guide for living within the enfolded and unfolding cosmos, Marks teaches readers to richly apprehend the world and to trace the processes of becoming that are immanent within the fold.




Natural Law Theories in the Early Enlightenment


Book Description

This major addition to Ideas in Context examines the development of natural law theories in the early stages of the Enlightenment in Germany and France. T. J. Hochstrasser investigates the influence exercised by theories of natural law from Grotius to Kant, with a comparative analysis of the important intellectual innovations in ethics and political philosophy of the time. Hochstrasser includes the writings of Samuel Pufendorf and his followers who evolved a natural law theory based on human sociability and reason, fostering a new methodology in German philosophy. This book assesses the first histories of political thought since ancient times, giving insights into the nature and influence of debate within eighteenth-century natural jurisprudence. Ambitious in range and conceptually sophisticated, Natural Law Theories in the Early Enlightenment will be of great interest to scholars in history, political thought, law and philosophy.