Leibniz: Hyperkinetic Happiness Born in Leipzig on July 1, 1646, Gottfried

Total Page:16

File Type:pdf, Size:1020Kb

Leibniz: Hyperkinetic Happiness Born in Leipzig on July 1, 1646, Gottfried CHAPTER SEVEN LEIBNIZ: HYPERKINETIC HAPPINESS Leibniz’s optimistic metaphysics, [Voltaire wrote] . was at once insulting and depressing: whatever is, is manifestly not right.1 Born in Leipzig on July 1, 1646, Gottfried Wilhelm Leibniz taught himself languages, philosophy and theology. He studied jurisprudence, earning his doctorate in law at the University of Altdorf. His prodigious intellect and learning attracted the attention of the elector of Mainz, for whom he began working at age twenty. His early concerns were matters of state more than issues in philosophy.2 But even on state missions to Paris, Lon- don and the Netherlands, Leibniz had contact with some of the philoso- phers, mathematicians and scientists who made the seventeenth century an age of genius. He encountered important Cartesians such as Antoine Arnauld (1612–1694) and Nicholas Malebranche (1636–1715), and, as we know from Chapter 6, had a private conversion with Spinoza. Leibniz was himself to become a commanding figure in a remarkable era that included Locke, the Dutch physicist Christian Huygens (1629–1695), the chemist Robert Boyle (1627–1691) and Isaac Newton (1642–1727). Leibniz was named a member of London’s Royal Society in 1673 and, following his return to Paris, spent much of his time studying mathemat- ics. By 1675, he had managed to develop the principles of the differential and integral calculus. This achievement led to a bitter exchange of medi- ated letters debating whether he or Newton first invented the calculus and whose version was superior.3 The importance of this exchange between the two intellectual giants of the second half of the seventeenth-century is unprecedented. 1 Peter Gay, The Enlightenment: The Rise of Modern Paganism (New York: W.W. Norton & Company, 1966), page 52. 2 For one of his political schemes, which involved capturing Egypt and thereby dimin- ishing the power of Dutch trade in the East, see Benson Mates, The Philosophy of Leibniz: Metaphysics and Language (Oxford: Oxford University Press, 1986), page 21. 3 For an abbreviated discussion of what divided Newton and Leibniz in this dispute, see James Gleick, Isaac Newton (New York: Helix Books, 2003), pages 167–174. 208 chapter seven Before leaving Paris, Leibniz ended his services with the elector of Mainz and in 1675 accepted a position with the Duke of Brunswick. His new home was the city of Hanover where he lived for the next forty years. His official duties were the preparation of a history of the house of Brunswick, supervising the mint and directing mining operations in the Harz mountains. Queen Anne of England died without heirs in 1714 and through dynastic ties, Elector George Louis of Hanover became King George I of England. Leibniz hoped to accompany his former employer to England but was not permitted to cross the channel. Nicholas Rescher notes that “The feeling against him in England ran high in the wake of the priority dispute over the calculus between his adherents and Newton’s. Leibniz was ordered to remain at Hanover and finish his history of the house of Brunswick . .”4 Leibniz died on November 14, 1716. He left behind an enormous col- lection of letters, essays, tracts and articles that testify to the breath of his genius. As a philosopher, mathematician, logician, physicist, econo- mist and practical statesman he had no other equals. Indeed, where the extent and depth of his many talents are concerned, it is possible that he has had no equals from 1716 into the present.5 (1) The reasons to read Leibniz speak for themselves, but despite the impos- ing body of literature on Leibniz’ metaphysics, epistemology, validation of evil and philosophy of science, there is comparatively little secondary lit- erature on his view of happiness. Donald Rutherford offers some insights on the topic and notes that Leibniz’ definition of “happiness” ( félicité) is “a lasting state of pleasure.” He adds that Leibniz preferred the pleasures of knowledge and reasoning to those of the senses.6 This observation serves as a point of departure. 4 Nicholas Rescher, The Philosophy of Leibniz, page 4. 5 For the most comprehensive biography of Leibniz in English, see Eric J. Aiton, Leib- niz: A Biography (Bristol: Taylor and Frrancis, 1985). For a recent account of Leibniz as a philosopher with a progressive plan for the improvement of humankind, see Maria Rosa Antognazza, Leibniz: An Intellectual Biography (Cambridge: Cambridge University Press, 2008). 6 Leibniz and the Rational Order of Nature (Cambridge: Cambridge University Press, 1995), pages 49 and 50. Rutherford’s source is Leibniz’ short paper “Felicity” (c. 1694–1698), in Leibniz, Political Writings, second edition, ed. Patrick Riley (Cambridge: Cambridge Uni- versity Press, 1988), page 83. In this paper, Leibniz defines “pleasure” as “a knowledge or .
Recommended publications
  • Libertarianism, Culture, and Personal Predispositions
    Undergraduate Journal of Psychology 22 Libertarianism, Culture, and Personal Predispositions Ida Hepsø, Scarlet Hernandez, Shir Offsey, & Katherine White ​ Kennesaw​ State University Abstract The United States has exhibited two potentially connected trends – increasing individualism and increasing interest in libertarian ideology. Previous research on libertarian ideology found higher levels of individualism among libertarians, and cross-cultural research has tied greater individualism to making dispositional attributions and lower altruistic tendencies. Given this, we expected to observe positive correlations between the following variables in the present research: individualism and endorsement of libertarianism, individualism and dispositional attributions, and endorsement of libertarianism and dispositional attributions. We also expected to observe negative correlations between libertarianism and altruism, dispositional attributions and altruism, and individualism and altruism. Survey results from 252 participants confirmed a positive correlation between individualism and libertarianism, a marginally significant positive correlation between libertarianism and dispositional attributions, and a negative correlation between individualism and altruism. These results confirm the connection between libertarianism and individualism observed in previous research and present several intriguing questions for future research on libertarian ideology. Key Words: Libertarianism, individualism, altruism, attributions individualistic, made apparent
    [Show full text]
  • A MATHEMATICIAN's SURVIVAL GUIDE 1. an Algebra Teacher I
    A MATHEMATICIAN’S SURVIVAL GUIDE PETER G. CASAZZA 1. An Algebra Teacher I could Understand Emmy award-winning journalist and bestselling author Cokie Roberts once said: As long as algebra is taught in school, there will be prayer in school. 1.1. An Object of Pride. Mathematician’s relationship with the general public most closely resembles “bipolar” disorder - at the same time they admire us and hate us. Almost everyone has had at least one bad experience with mathematics during some part of their education. Get into any taxi and tell the driver you are a mathematician and the response is predictable. First, there is silence while the driver relives his greatest nightmare - taking algebra. Next, you will hear the immortal words: “I was never any good at mathematics.” My response is: “I was never any good at being a taxi driver so I went into mathematics.” You can learn a lot from taxi drivers if you just don’t tell them you are a mathematician. Why get started on the wrong foot? The mathematician David Mumford put it: “I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate.” 1.2. A Balancing Act. The other most common response we get from the public is: “I can’t even balance my checkbook.” This reflects the fact that the public thinks that mathematics is basically just adding numbers. They have no idea what we really do. Because of the textbooks they studied, they think that all needed mathematics has already been discovered.
    [Show full text]
  • EMMA GOLDMAN, ANARCHISM, and the “AMERICAN DREAM” by Christina Samons
    AN AMERICA THAT COULD BE: EMMA GOLDMAN, ANARCHISM, AND THE “AMERICAN DREAM” By Christina Samons The so-called “Gilded Age,” 1865-1901, was a period in American his­ tory characterized by great progress, but also of great turmoil. The evolving social, political, and economic climate challenged the way of life that had existed in pre-Civil War America as European immigration rose alongside the appearance of the United States’ first big businesses and factories.1 One figure emerges from this era in American history as a forerunner of progressive thought: Emma Goldman. Responding, in part, to the transformations that occurred during the Gilded Age, Goldman gained notoriety as an outspoken advocate of anarchism in speeches throughout the United States and through published essays and pamphlets in anarchist newspapers. Years later, she would synthe­ size her ideas in collections of essays such as Anarchism and Other Essays, first published in 1917. The purpose of this paper is to contextualize Emma Goldman’s anarchist theory by placing it firmly within the economic, social, and 1 Alan M. Kraut, The Huddled Masses: The Immigrant in American Society, 1880­ 1921 (Wheeling, IL: Harlan Davidson, 2001), 14. 82 Christina Samons political reality of turn-of-the-twentieth-century America while dem­ onstrating that her theory is based in a critique of the concept of the “American Dream.” To Goldman, American society had drifted away from the ideal of the “American Dream” due to the institutionalization of exploitation within all aspects of social and political life—namely, economics, religion, and law. The first section of this paper will give a brief account of Emma Goldman’s position within American history at the turn of the twentieth century.
    [Show full text]
  • The "Greatest European Mathematician of the Middle Ages"
    Who was Fibonacci? The "greatest European mathematician of the middle ages", his full name was Leonardo of Pisa, or Leonardo Pisano in Italian since he was born in Pisa (Italy), the city with the famous Leaning Tower, about 1175 AD. Pisa was an important commercial town in its day and had links with many Mediterranean ports. Leonardo's father, Guglielmo Bonacci, was a kind of customs officer in the North African town of Bugia now called Bougie where wax candles were exported to France. They are still called "bougies" in French, but the town is a ruin today says D E Smith (see below). So Leonardo grew up with a North African education under the Moors and later travelled extensively around the Mediterranean coast. He would have met with many merchants and learned of their systems of doing arithmetic. He soon realised the many advantages of the "Hindu-Arabic" system over all the others. D E Smith points out that another famous Italian - St Francis of Assisi (a nearby Italian town) - was also alive at the same time as Fibonacci: St Francis was born about 1182 (after Fibonacci's around 1175) and died in 1226 (before Fibonacci's death commonly assumed to be around 1250). By the way, don't confuse Leonardo of Pisa with Leonardo da Vinci! Vinci was just a few miles from Pisa on the way to Florence, but Leonardo da Vinci was born in Vinci in 1452, about 200 years after the death of Leonardo of Pisa (Fibonacci). His names Fibonacci Leonardo of Pisa is now known as Fibonacci [pronounced fib-on-arch-ee] short for filius Bonacci.
    [Show full text]
  • The Astronomers Tycho Brahe and Johannes Kepler
    Ice Core Records – From Volcanoes to Supernovas The Astronomers Tycho Brahe and Johannes Kepler Tycho Brahe (1546-1601, shown at left) was a nobleman from Denmark who made astronomy his life's work because he was so impressed when, as a boy, he saw an eclipse of the Sun take place at exactly the time it was predicted. Tycho's life's work in astronomy consisted of measuring the positions of the stars, planets, Moon, and Sun, every night and day possible, and carefully recording these measurements, year after year. Johannes Kepler (1571-1630, below right) came from a poor German family. He did not have it easy growing Tycho Brahe up. His father was a soldier, who was killed in a war, and his mother (who was once accused of witchcraft) did not treat him well. Kepler was taken out of school when he was a boy so that he could make money for the family by working as a waiter in an inn. As a young man Kepler studied theology and science, and discovered that he liked science better. He became an accomplished mathematician and a persistent and determined calculator. He was driven to find an explanation for order in the universe. He was convinced that the order of the planets and their movement through the sky could be explained through mathematical calculation and careful thinking. Johannes Kepler Tycho wanted to study science so that he could learn how to predict eclipses. He studied mathematics and astronomy in Germany. Then, in 1571, when he was 25, Tycho built his own observatory on an island (the King of Denmark gave him the island and some additional money just for that purpose).
    [Show full text]
  • Spinoza and the Sciences Boston Studies in the Philosophy of Science
    SPINOZA AND THE SCIENCES BOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE EDITED BY ROBERT S. COHEN AND MARX W. WARTOFSKY VOLUME 91 SPINOZA AND THE SCIENCES Edited by MARJORIE GRENE University of California at Davis and DEBRA NAILS University of the Witwatersrand D. REIDEL PUBLISHING COMPANY A MEMBER OF THE KLUWER ~~~.'~*"~ ACADEMIC PUBLISHERS GROUP i\"lI'4 DORDRECHT/BOSTON/LANCASTER/TOKYO Library of Congress Cataloging-in-Publication Data Main entry under title: Spinoza and the sciences. (Boston studies in the philosophy of science; v. 91) Bibliography: p. Includes index. 1. Spinoza, Benedictus de, 1632-1677. 2. Science- Philosophy-History. 3. Scientists-Netherlands- Biography. I. Grene, Marjorie Glicksman, 1910- II. Nails, Debra, 1950- Ill. Series. Q174.B67 vol. 91 OOI'.Ols 85-28183 101 43.S725J 100 I J ISBN-13: 978-94-010-8511-3 e-ISBN-13: 978-94-009-4514-2 DOl: 10.1007/978-94-009-4514-2 Published by D. Reidel Publishing Company, P.O. Box 17, 3300 AA Dordrecht, Holland. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 101 Philip Drive, Assinippi Park, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland. 2-0490-150 ts All Rights Reserved © 1986 by D. Reidel Publishing Company Softcover reprint of the hardcover 1st edition 1986 and copyright holders as specified on appropriate pages within No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner FROM SPINOZA'S LETTER TO OLDENBURG, RIJNSBURG, APRIL, 1662 (Photo by permission of Berend Kolk) TABLE OF CONTENTS ACKNOWLEDGEMENTS ix MARJORIE GRENE I Introduction xi 1.
    [Show full text]
  • Newton.Indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag
    omslag Newton.indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag. 1 e Dutch Republic proved ‘A new light on several to be extremely receptive to major gures involved in the groundbreaking ideas of Newton Isaac Newton (–). the reception of Newton’s Dutch scholars such as Willem work.’ and the Netherlands Jacob ’s Gravesande and Petrus Prof. Bert Theunissen, Newton the Netherlands and van Musschenbroek played a Utrecht University crucial role in the adaption and How Isaac Newton was Fashioned dissemination of Newton’s work, ‘is book provides an in the Dutch Republic not only in the Netherlands important contribution to but also in the rest of Europe. EDITED BY ERIC JORINK In the course of the eighteenth the study of the European AND AD MAAS century, Newton’s ideas (in Enlightenment with new dierent guises and interpre- insights in the circulation tations) became a veritable hype in Dutch society. In Newton of knowledge.’ and the Netherlands Newton’s Prof. Frans van Lunteren, sudden success is analyzed in Leiden University great depth and put into a new perspective. Ad Maas is curator at the Museum Boerhaave, Leiden, the Netherlands. Eric Jorink is researcher at the Huygens Institute for Netherlands History (Royal Dutch Academy of Arts and Sciences). / www.lup.nl LUP Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 1 Newton and the Netherlands Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 2 Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag.
    [Show full text]
  • Famous Mathematicians Key
    Infinite Secrets AIRING SEPTEMBER 30, 2003 Learning More Dzielska, Maria. Famous Mathematicians Hypatia of Alexandria. Cambridge, MA: Harvard University The history of mathematics spans thousands of years and touches all parts of the Press, 1996. world. Likewise, the notable mathematicians of the past and present are equally Provides a biography of Hypatia based diverse.The following are brief biographies of three mathematicians who stand out on several sources,including the letters for their contributions to the fields of geometry and calculus. of Hypatia’s student Synesius. Hypatia of Alexandria Bhaskara wrote numerous papers and Biographies of Women Mathematicians books on such topics as plane and spherical (c. A.D. 370–415 ) www.agnesscott.edu/lriddle/women/ Born in Alexandria, trigonometry, algebra, and the mathematics women.htm of planetary motion. His most famous work, Contains biographical essays and Egypt, around A.D. 370, Siddhanta Siromani, was written in A.D. comments on woman mathematicians, Hypatia was the first 1150. It is divided into four parts: “Lilavati” including Hypatia. Also includes documented female (arithmetic), “Bijaganita” (algebra), resources for further study. mathematician. She was ✷ ✷ ✷ the daughter of Theon, “Goladhyaya” (celestial globe), and a mathematician who “Grahaganita” (mathematics of the planets). Patwardhan, K. S., S. A. Naimpally, taught at the school at the Alexandrine Like Archimedes, Bhaskara discovered and S. L. Singh. Library. She studied astronomy, astrology, several principles of what is now calculus Lilavati of Bhaskaracharya. centuries before it was invented. Also like Delhi, India:Motilal Banarsidass, 2001. and mathematics under the guidance of her Archimedes, Bhaskara was fascinated by the Explains the definitions, formulae, father.She became head of the Platonist concepts of infinity and square roots.
    [Show full text]
  • The Newton-Leibniz Controversy Over the Invention of the Calculus
    The Newton-Leibniz controversy over the invention of the calculus S.Subramanya Sastry 1 Introduction Perhaps one the most infamous controversies in the history of science is the one between Newton and Leibniz over the invention of the infinitesimal calculus. During the 17th century, debates between philosophers over priority issues were dime-a-dozen. Inspite of the fact that priority disputes between scientists were ¡ common, many contemporaries of Newton and Leibniz found the quarrel between these two shocking. Probably, what set this particular case apart from the rest was the stature of the men involved, the significance of the work that was in contention, the length of time through which the controversy extended, and the sheer intensity of the dispute. Newton and Leibniz were at war in the later parts of their lives over a number of issues. Though the dispute was sparked off by the issue of priority over the invention of the calculus, the matter was made worse by the fact that they did not see eye to eye on the matter of the natural philosophy of the world. Newton’s action-at-a-distance theory of gravitation was viewed as a reversion to the times of occultism by Leibniz and many other mechanical philosophers of this era. This intermingling of philosophical issues with the priority issues over the invention of the calculus worsened the nature of the dispute. One of the reasons why the dispute assumed such alarming proportions and why both Newton and Leibniz were anxious to be considered the inventors of the calculus was because of the prevailing 17th century conventions about priority and attitude towards plagiarism.
    [Show full text]
  • Berkeley's Case Against Realism About Dynamics
    Lisa Downing [Published in Berkeley’s Metaphysics, ed. Muehlmann, Penn State Press 1995, 197-214. Turbayne Essay Prize winner, 1992.] Berkeley's case against realism about dynamics While De Motu, Berkeley's treatise on the philosophical foundations of mechanics, has frequently been cited for the surprisingly modern ring of certain of its passages, it has not often been taken as seriously as Berkeley hoped it would be. Even A.A. Luce, in his editor's introduction to De Motu, describes it as a modest work, of limited scope. Luce writes: The De Motu is written in good, correct Latin, but in construction and balance the workmanship falls below Berkeley's usual standards. The title is ambitious for so brief a tract, and may lead the reader to expect a more sustained argument than he will find. A more modest title, say Motion without Matter, would fitly describe its scope and content. Regarded as a treatise on motion in general, it is a slight and disappointing work; but viewed from a narrower angle, it is of absorbing interest and high importance. It is the application of immaterialism to contemporary problems of motion, and should be read as such. ...apart from the Principles the De Motu would be nonsense.1 1The Works of George Berkeley, Bishop of Cloyne, ed. A.A. Luce and T.E. Jessop (London: Thomas Nelson and Sons, 1948-57), 4: 3-4. In this paper, all references to Berkeley are to the Luce-Jessop edition. Quotations from De Motu are taken from Luce's translation. I use the following abbreviations for Berkeley’s works: PC Philosophical Commentaries PHK-I Introduction to The Principles of Human Knowledge PHK The Principles of Human Knowledge DM De Motu A Alciphron TVV The Theory of Vision Vindicated and Explained S Siris 1 There are good general reasons to think, however, that Berkeley's aims in writing the book were as ambitious as the title he chose.
    [Show full text]
  • Professor Shiing Shen CHERN Citation
    ~~____~__~~Doctor_~______ of Science honoris cau5a _-___ ____ Professor Shiing Shen CHERN Citation “Not willing to yield to the saints of ancient mathematics. In his own words, his objective is and modem times / He alone ascends the towering to bring about a situation in which “Chinese height.” This verse, written by Professor Wu-zhi mathematics is placed on a par with Western Yang, the father of Nobel Laureate in Physics mathematics and is independent of the latter. That Professor Chen-Ning Yang, to Professor Shiing Shen is, Chinese mathematics must be on the same level CHERN, fully reflects the high achievements as its Western counterpart, though not necessarily attained by Professor Chern during a career that bending its efforts in the same direction.” has spanned over 70 years. Professor Chern was born in Jiaxing, Zhejiang Professor Chern has dedicated his life to the Province in 1911, and displayed considerable study of mathematics. In his early thirties, he mathematical talent even as a child. In 1930, after realized the importance of fiber bundle structure. graduating from the Department of Mathematics From an entirely new perspective, he provided a at Nankai University, he was admitted to the simple intrinsic proof of the Gauss-Bonnet Formula graduate school of Tsinghua University. In 1934, 24 and constructed the “Chern Characteristic Classes”, he received funding to study in Hamburg under thus laying a solid foundation for the study of global the great master of geometry Professor W Blaschke, differential geometry as a whole. and completed his doctoral dissertation in less than a year.
    [Show full text]
  • An Outstanding Mathematician Sergei Ivanovich Adian Passed Away on May 5, 2020 in Moscow at the Age of 89
    An outstanding mathematician Sergei Ivanovich Adian passed away on May 5, 2020 in Moscow at the age of 89. He was the head of the Department of Mathematical Logic at Steklov Mathematical Institute of the Russian Academy of Sciences (since 1975) and Professor of the Department of Mathematical Logic and Theory of Algorithms at the Mathematics and Mechanics Faculty of Moscow M.V. Lomonosov State University (since 1965). Sergei Adian is famous for his work in the area of computational problems in algebra and mathematical logic. Among his numerous contributions two major results stand out. The first one is the Adian—Rabin Theorem (1955) on algorithmic unrecognizability of a wide class of group-theoretic properties when the group is given by finitely many generators and relators. Natural properties covered by this theorem include those of a group being trivial, finite, periodic, and many others. A simpler proof of the same result was obtained by Michael Rabin in 1958. Another seminal contribution of Sergei Adian is his solution, together with his teacher Petr Novikov, of the famous Burnside problem on periodic groups posed in 1902. The deluding simplicity of its formulation fascinated and attracted minds of mathematicians for decades. Is every finitely generated periodic group of a fixed exponent n necessarily finite? Novikov—Adian Theorem (1968) states that for sufficiently large odd numbers n this is not the case. By a heroic effort, in 1968 Sergei Adian finished the solution of Burnside problem initiated by his teacher Novikov, having overcome in its course exceptional technical difficulties. Their proof was arguably one of the most difficult proofs in the whole history of Mathematics.
    [Show full text]