Leibniz

Leibniz
Author: Maria Rosa Antognazza
Publisher: Cambridge University Press
Total Pages: 668
Release: 2008-10-06
Genre: Philosophy
ISBN: 1316154742

Of all the thinkers of the century of genius that inaugurated modern philosophy, none lived an intellectual life more rich and varied than Gottfried Wilhelm Leibniz (1646–1716). Maria Rosa Antognazza's pioneering biography provides a unified portrait of this unique thinker and the world from which he came. At the centre of the huge range of Leibniz's apparently miscellaneous endeavours, Antognazza reveals a single master project lending unity to his extraordinarily multifaceted life's work. Throughout the vicissitudes of his long life, Leibniz tenaciously pursued the dream of a systematic reform and advancement of all the sciences. As well as tracing the threads of continuity that bound these theoretical and practical activities to this all-embracing plan, this illuminating study also traces these threads back into the intellectual traditions of the Holy Roman Empire in which Leibniz lived and throughout the broader intellectual networks that linked him to patrons in countries as distant as Russia and to correspondents as far afield as China.

Leibniz

Leibniz
Author: Catherine Wilson
Publisher: Routledge
Total Pages: 805
Release: 2017-07-12
Genre: Philosophy
ISBN: 1351777394

This title was first published in 2001. A collection of previously published essays addressed to Leibniz’s metaphysics, philosophy of science, theories of language and logic, philosophy of mind and theology.

The Science of the Individual: Leibniz's Ontology of Individual Substance

The Science of the Individual: Leibniz's Ontology of Individual Substance
Author: Stefano Bella
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2005-05-10
Genre: Philosophy
ISBN: 9781402032592

In his well-known Discourse on Metaphysics, Leibniz puts individual substance at the basis of metaphysical building. In so doing, he connects himself to a venerable tradition. His theory of individual concept, however, breaks with another idea of the same tradition, that no account of the individual as such can be given. Contrary to what has been commonly accepted, Leibniz’s intuitions are not the mere result of the transcription of subject-predicate logic, nor of the uncritical persistence of some old metaphysical assumptions. They grow, instead, from an unprejudiced inquiry about our basic ontological framework, where logic of truth, linguistic analysis, and phenomenological experience of the mind’s life are tightly interwoven. Leibniz’s struggle for a concept capable of grasping concrete individuals as such is pursued in an age of great paradigm changes – from the Scholastic background to Hobbes’s nominalism to the Cartesian ‘way of ideas’ or Spinoza’s substance metaphysics – when the relationships among words, ideas and things are intensively discussed and wholly reshaped. This is the context where the genesis and significance of Leibniz’s theory of ‘complete being’ and its concept are reconstrued. The result is a fresh look at some of the most perplexing issues in Leibniz scholarship, like his ideas about individual identity and the thesis that all its properties are essential to an individual. The questions Leibniz faces, and to which his theory of individual substance aims to answer, are yet, to a large extent, those of contemporary metaphysics: how to trace a categorial framework? How to distinguish concrete and abstract items? What is the metaphysical basis of linguistic predication? How is trans-temporal sameness assured? How to make sense of essential attributions? In this ontological framework Leibniz’s further questions about the destiny of human individuals and their history are spelt out. Maybe his answers also have something to tell us. This book is aimed at all who are interested in Leibniz’s philosophy, history of early modern philosophy and metaphysical issues in their historical development.

Historical Dictionary of Leibniz's Philosophy

Historical Dictionary of Leibniz's Philosophy
Author: Stuart C. Brown
Publisher: Rowman & Littlefield
Total Pages: 457
Release: 2023-04-30
Genre: Philosophy
ISBN: 1538178451

Historical Dictionary of Leibniz's Philosophy, Second Edition contains a chronology, an introduction, and an extensive bibliography. The dictionary section has more than 500 cross-referenced entries on Leibniz’s philosophy, written work, teachers, contemporaries, and philosophers influenced by him.

The Nature of Reality and the Reality of Nature

The Nature of Reality and the Reality of Nature
Author: Jürgen Lawrenz
Publisher: Cambridge Scholars Publishing
Total Pages: 293
Release: 2009-12-14
Genre: Philosophy
ISBN: 1443818372

This new, comprehensive study of Leibniz’s system of thought reveals a philosopher equally intrigued by the complexity of physical reality and the fascinations of his metaphysical laboratory. Many of his most important, but never previously published papers are evaluated in this book. Too often put down as an arch-metaphysician, Leibniz is seen in these pages as a venturer of breathtaking boldness, his ambition being nothing less than to actually solve the enigma of existence. Accordingly his system embraced science equally with metaphysics; they complement and pollinate each other. The outcome is a view of his system as a double ontology. Reality is the domain of the actual; metaphysics the laboratory of the possible. Metaphysics springs to life with his scintillating detective work on force, motion, time, space, limits, infinity, folds, fractals and many other issues that are ‘hot’ again today; while in all these a direct line is kept open to their impact on physical existents and our understanding of reality. This book is equally suited to expert Leibnizians as to students of Early Modern philosophy; and it may be read with profit by anyone interested in this thinker, whom Bertrand Russell called “one of the supreme intellects of all time”.

The Complex Itinerary of Leibniz’s Planetary Theory

The Complex Itinerary of Leibniz’s Planetary Theory
Author: Paolo Bussotti
Publisher: Birkhäuser
Total Pages: 194
Release: 2015-10-31
Genre: Mathematics
ISBN: 3319212362

This book presents new insights into Leibniz’s research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler’s influence on Leibniz’s planetary theory and more generally, on Leibniz’s concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz’s works provide a frame of reference. The book then goes on to discuss research on Leibniz’s conception of gravity and the connection between Leibniz and Kepler.

Reading the Principia

Reading the Principia
Author: Niccol- Guicciardini
Publisher: Cambridge University Press
Total Pages: 296
Release: 2003-10-30
Genre: Mathematics
ISBN: 9780521544030

The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.

Mathematics and the Divine

Mathematics and the Divine
Author: Teun Koetsier
Publisher: Elsevier
Total Pages: 716
Release: 2004-12-09
Genre: Mathematics
ISBN: 0080457355

Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ?The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history.·Mathematics and man's quest for the Absolute·A selective history highlighting key figures, schools and trains of thought ·An international team of historians presenting specific new findings as well as general overviews·Confronting and uniting otherwise compartmentalized information

Conflicts Between Generalization, Rigor, and Intuition

Conflicts Between Generalization, Rigor, and Intuition
Author: Gert Schubring
Publisher: Springer Science & Business Media
Total Pages: 689
Release: 2006-06-10
Genre: Mathematics
ISBN: 0387282734

This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Author: Paolo Mancosu
Publisher: Oxford University Press, USA
Total Pages: 290
Release: 1999
Genre: Matematik
ISBN: 0195132440

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.