The Rhetoric of Sir Isaac Newton's Principia: a Rejection of Cartesianism Charles L
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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. -
A Rhetorical Analysis of Sir Isaac Newton's Principia A
A RHETORICAL ANALYSIS OF SIR ISAAC NEWTON’S PRINCIPIA A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF ARTS IN THE GRADUATE SCHOOL OF THE TEXAS WOMAN’S UNIVERSITY DEPARTMENT OF ENGLISH, SPEECH, AND FOREIGN LANGUAGES COLLEGE OF ARTS AND SCIENCES BY GIRIBALA JOSHI, B.S., M.S. DENTON, TEXAS AUGUST 2018 Copyright © 2018 by Giribala Joshi DEDICATION Nature and Nature’s Laws lay hid in Night: God said, “Let Newton be!” and all was light. ~ Alexander Pope Dedicated to all the wonderful eighteenth-century Enlightenment thinkers and philosophers! ii ACKNOWLEDGMENTS I would like to acknowledge the continuous support and encouragement that I received from the Department of English, Speech and Foreign Languages. I especially want to thank my thesis committee member Dr. Ashley Bender, and my committee chair Dr. Brian Fehler, for their guidance and feedback while writing this thesis. iii ABSTRACT GIRIBALA JOSHI A RHETORICAL ANALYSIS OF SIR ISAAC NEWTON’S PRINCIPIA AUGUST 2018 In this thesis, I analyze Isaac Newton's Philosophiae Naturalis Principia Mathematica in the framework of Aristotle’s theories of rhetoric. Despite the long-held view that science only deals with brute facts and does not require rhetoric, we learn that science has its own special topics. This study highlights the rhetorical situation of the Principia and Newton’s rhetorical strategies, emphasizing the belief that scientific facts and theories are also rhetorical constructions. This analysis shows that the credibility of the author and the text, the emotional debates before and after the publication of the text, the construction of logical arguments, and the presentation style makes the book the epitome of scientific writing. -
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. -
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. -
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. -
Newton: 'Opticks'
University of Dayton eCommons Imprints and Impressions: Milestones in Human Commentaries on the Exhibit’s Works Progress November 2014 Newton: ‘Opticks’ Follow this and additional works at: http://ecommons.udayton.edu/rosebk_commentary Recommended Citation "Newton: ‘Opticks’" (2014). Commentaries on the Exhibit’s Works. 30. http://ecommons.udayton.edu/rosebk_commentary/30 This Article is brought to you for free and open access by the Imprints and Impressions: Milestones in Human Progress at eCommons. It has been accepted for inclusion in Commentaries on the Exhibit’s Works by an authorized administrator of eCommons. For more information, please contact [email protected], [email protected]. Reflections on the various works in the exhibit Imprints and Impressions: Milestones in Human Progress Highlights from the Rose Rare Book Collection, Sept. 29-Nov. 9, 2014 Roesch Library, University of Dayton Isaac Newton Opticks: Or, a Treatise of the Reflexions, Refractions, Inflexions and Colours of Light London, 1704 First edition Reflection 1 Perhaps the key point of Newton’s observations was that white light is made up ow is a rainbow formed? Why of a superposition of many different “rays” do I see colors like magenta, of light with different colors. Furthermore, H yellow, and turquoise blue on an each individual color of light, in a oily puddle or when my kids blow soap continuous spectrum, has its own property bubbles? Why does a prism project the of “refrangibility,” or refraction. When a ray colors of the rainbow on the wall? And why of red light (such as a laser pointer) hits a are all the really big telescopes based on glass surface at an angle, it will be bent as it mirrors and not lenses, which was the passes into the new medium. -
Newton and Kant on Absolute Space: from Theology to Transcendental Philosophy
Newton and Kant on Absolute Space: From Theology to Transcendental Philosophy Michael Friedman Abstract I argue that Einstein’s creation of both special and general relativity instantiates Reichenbach’s conception of the relativized a priori. I do this by show- ing how the original Kantian conception actually contributes to the development of Einstein’s theories through the intervening philosophical and scientific work of Helmholtz, Mach, and Poincaré. In my previous work on Newton and Kant I have primarily emphasized methodo- logical issues: why Kant takes the Newtonian Laws of Motion (as well as certain related propositions of what he calls “pure natural science”) as synthetic a priori constitutive principles rather than mere empirical laws, and how this point is inti- mately connected, in turn, with Kant’s conception of absolute space as a regulative idea of reason – as the limit point of an empirical constructive procedure rather than a self-subsistent “container” existing prior to and independently of all perceptible matter. I have also argued that these methodological differences explain the circum- stance that Kant, unlike Newton, asserts that gravitational attraction must be con- ceived as an “action at a distance through empty space,” and even formulates a (rare) criticism of Newton for attempting to leave the question of the “true cause” of gravitational attraction entirely open. In this paper I emphasize the importance of metaphysical and theological issues – about God, his creation of the material world in space, and the consequences different views of such creation have for the metaphysical foundations of physics. I argue, in particular, that Kant’s differences with Newton over these issues constitute an essential part of his radical transforma- tion of the very meaning of metaphysics as practiced by his predecessors. -
Determinism Is False
%&5&3.*/*4. Barry Loewer %FUFSNJOJTNJTBDPOUJOHFOUNFUBQIZTJDBMDMBJNBCPVUUIFGVOEBNFOUBMOBUVSBMMBXT UIBUIPMEJOUIFVOJWFSTF*UTBZT The natural laws and the way things are at time t determine the way things will be at later times. 5IF NBUIFNBUJDJBO 1JFSSF4JNPO -BQMBDF FYQSFTTFE IJT CFMJFG UIBU EFUFS- minism is true this way: 8F PVHIU UP SFHBSE UIF QSFTFOU TUBUF PG UIF VOJWFSTF BT UIF FGGFDU PG JUT antecedent state and as the cause of the state that is to follow. An intel- MJHFODF LOPXJOH BMM UIF GPSDFT BDUJOH JO OBUVSF BU B HJWFO JOTUBOU BT XFMM as the momentary positions of all things in the universe, would be able to comprehend in one single formula the motions of the largest bodies as well as the lightest atoms in the world, provided that its intellect were suf!ciently QPXFSGVMUPTVCKFDUBMMEBUBUPBOBMZTJTUPJUOPUIJOHXPVMECFVODFSUBJO UIF future as well as the past would be present to its eyes. The perfection that the human mind has been able to give to astronomy affords but a feeble outline of such intelligence. 5IF QIZTJDT PG -BQMBDFT EBZ UIF àSTU EFDBEFT PG UIF OJOFUFFOUI DFOUVSZ XBT /FXUPOJBO DMBTTJDBM NFDIBOJDT*TBBD/FXUPOGPSNVMBUFEQSJODJQMFTUIBUIFUIPVHIU FYQSFTTUIFMBXTEFTDSJCJOHIPXGPSDFTEFUFSNJOFUIFNPUJPOTPGCPEJFT F ma) and IPXUIFQPTJUJPOTPGCPEJFTBOEPUIFSGBDUPSTEFUFSNJOFHSBWJUBUJPOBMBOEPUIFSLJOET PGGPSDFT6TJOHUIFTFQSJODJQMFT /FXUPOBOEQIZTJDJTUTGPMMPXJOHIJNXFSFBCMFUP QSFEJDUBOEFYQMBJOUIFNPUJPOTPGDFMFTUJBMBOEUFSSFTUSJBMCPEJFT'PSFYBNQMF UIFTF laws account for the orbits of the planets, the trajectories of cannon balls, and the QFSJPET PG QFOEVMVNT-JLF/FXUPO -BQMBDFEJE OPULOPX BMM UIFGPSDFTUIFSF BSF but he envisioned that, once those forces (and the corresponding force laws) were LOPXO /FXUPOJBO QIZTJDT XPVME CF B complete physical theory. That is, its laws would account for the motions of all material particles. And since he thought that FWFSZUIJOH UIBU FYJTUT JO TQBDF JT DPNQPTFE PG WBSJPVT LJOET PG WFSZ TNBMM NBUFSJBM #"33:-0&8&3 QBSUJDMFT PSBUPNT IFUIPVHIUUIBU/FXUPOJBONFDIBOJDT PODFBMMUIFGPSDFTXFSF LOPXO XPVMECFXIBUUPEBZXFXPVMEDBMMthe theory of everything. -
Newton's Notebook
Newton’s Notebook The Haverford School’s Math & Applied Math Journal Issue I Spring 2017 The Haverford School Newton’s Notebook Spring 2017 “To explain all nature is too difficult a task for any one man or even for any one age. ‘Tis much better to do a little with certainty & leave the rest for others that come after you.” ~Isaac Newton Table of Contents Pure Mathematics: 7 The Golden Ratio.........................................................................................Robert Chen 8 Fermat’s Last Theorem.........................................................................Michael Fairorth 9 Math in Coding............................................................................................Bram Schork 10 The Pythagoreans.........................................................................................Eusha Hasan 12 Transfinite Numbers.................................................................................Caleb Clothier 15 Sphere Equality................................................................................Matthew Baumholtz 16 Interesting Series.......................................................................................Aditya Sardesi 19 Indirect Proofs..............................................................................................Mr. Patrylak Applied Mathematics: 23 Physics in Finance....................................................................................Caleb Clothier 26 The von Bertalanffy Equation..................................................................Will -
Newton As Philosopher
This page intentionally left blank NEWTON AS PHILOSOPHER Newton’s philosophical views are unique and uniquely difficult to categorize. In the course of a long career from the early 1670s until his death in 1727, he articulated profound responses to Cartesian natural philosophy and to the prevailing mechanical philosophy of his day. Newton as Philosopher presents Newton as an original and sophisti- cated contributor to natural philosophy, one who engaged with the principal ideas of his most important predecessor, René Descartes, and of his most influential critic, G. W. Leibniz. Unlike Descartes and Leibniz, Newton was systematic and philosophical without presenting a philosophical system, but, over the course of his life, he developed a novel picture of nature, our place within it, and its relation to the creator. This rich treatment of his philosophical ideas, the first in English for thirty years, will be of wide interest to historians of philosophy, science, and ideas. ANDREW JANIAK is Assistant Professor in the Department of Philosophy, Duke University. He is editor of Newton: Philosophical Writings (2004). NEWTON AS PHILOSOPHER ANDREW JANIAK Duke University CAMBRIDGE UNIVERSITY PRESS Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521862868 © Andrew Janiak 2008 This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. -
Geometry in the Age of Enlightenment
Geometry in the Age of Enlightenment Raymond O. Wells, Jr. ∗ July 2, 2015 Contents 1 Introduction 1 2 Algebraic Geometry 3 2.1 Algebraic Curves of Degree Two: Descartes and Fermat . 5 2.2 Algebraic Curves of Degree Three: Newton and Euler . 11 3 Differential Geometry 13 3.1 Curvature of curves in the plane . 17 3.2 Curvature of curves in space . 26 3.3 Curvature of a surface in space: Euler in 1767 . 28 4 Conclusion 30 1 Introduction The Age of Enlightenment is a term that refers to a time of dramatic changes in western society in the arts, in science, in political thinking, and, in particular, in philosophical discourse. It is generally recognized as being the period from the mid 17th century to the latter part of the 18th century. It was a successor to the renaissance and reformation periods and was followed by what is termed the romanticism of the 19th century. In his book A History of Western Philosophy [25] Bertrand Russell (1872{1970) gives a very lucid description of this time arXiv:1507.00060v1 [math.HO] 30 Jun 2015 period in intellectual history, especially in Book III, Chapter VI{Chapter XVII. He singles out Ren´eDescartes as being the founder of the era of new philosophy in 1637 and continues to describe other philosophers who also made significant contributions to mathematics as well, such as Newton and Leibniz. This time of intellectual fervor included literature (e.g. Voltaire), music and the world of visual arts as well. One of the most significant developments was perhaps in the political world: here the absolutism of the church and of the monarchies ∗Jacobs University Bremen; University of Colorado at Boulder; [email protected] 1 were questioned by the political philosophers of this era, ushering in the Glo- rious Revolution in England (1689), the American Revolution (1776), and the bloody French Revolution (1789). -
Isaac Newton -- Smartest Man in History?
Isaac Newton -- Smartest Man in History? Born in 1643 in Woolsthorpe, England, Sir Isaac Newton began developing his influential theories on light, calculus and planetary motion while on break from Cambridge University. Years of research resulted in the 1687 C.E publication of “Principia,” an important work that established the universal laws of motion and gravity. Newton’s second major book, “Opticks,” detailed his experiments to determine the properties of light. Also a student of Biblical history and alchemy, the famed scientist lived a long life of scientific investigation and thought until his death in 1727 C.E. Newton was the son of a farmer, who died three months before he was born, Newton spent most of his early years with his maternal grandmother after his mother remarried. His education interrupted by a failed attempt to turn him into a farmer, he attended the King’s School in Grantham before enrolling at the University of Cambridge’s Trinity College in 1661 C.E. Newton studied classical Greek and Roman philosophy and culture at Cambridge, but he became fascinated by the works of modern philosophers such as René Descartes, even devoting a set of notes to his outside readings he titled “Quaestiones Quaedam Philosophicae” (“Certain Philosophical Questions”). When a Great Plague shut down Cambridge University in 1665 C.E, Newton returned home and began thinking about and creating his theories on calculus, light and color. His farm was the setting for the supposed falling apple that inspired his work on gravity. The famous story that you may have heard of goes something like… “Newton was sitting under an apple tree when an apple fell and hit him in the head.