Table Of Content

The Oxford Handbook of L E I B N I Z The Oxford Handbook of LEIBNIZ Edited by MARIA ROSA ANTOGNAZZA 1 3 Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trade mark of Oxford University Press in the UK and certain other countries. Published in the United States of America by Oxford University Press 198 Madison Avenue, New York, NY 10016, United States of America. © Oxford University Press 2018 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by license, or under terms agreed with the appropriate reproduction rights organization. Inquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above. You must not circulate this work in any other form and you must impose this same condition on any acquirer. CIP data is on file at the Library of Congress ISBN 978– 0– 19– 974472– 5 1 3 5 7 9 8 6 4 2 Printed by Sheridan Books, Inc., United States of America To Sophia Antognazza Hotson 31 May 1999 – 7 March 2018 loving, brave, wise Contents List of Contributors xi Abbreviations xiii Introduction xvii Maria Rosa Antognazza Life and Works 1 Maria Rosa Antognazza PART I GOD, POSSIBLE WORLDS, AND THE ACTUAL WORLD 1. Essences, Ideas, and Truths in God’s Mind and in the Human Mind 11 Massimo Mugnai 2. Theory of Relations and Universal Harmony 27 Massimo Mugnai 3. The Principles of Contradiction, Sufficient Reason, and Identity of Indiscernibles 45 Gonzalo Rodriguez- Pereyra 4. The Actual World 65 Donald Rutherford 5. Freedom and Contingency 86 Jeffrey K. McDonough 6. The Problem of Evil and the Justice of God 100 Paul Rateau PART II CONCEPTS, KNOWLEDGE, AND LANGUAGE 7. The Complete Concept of an Individual Substance 119 Stefano Di Bella viii Contents 8. Theory of Knowledge: Mathematical and Natural Science 137 Martha Bolton 9. The Scientia Generalis and the Encyclopaedia 162 Arnaud Pelletier 10. Ars Characteristica, Logical Calculus, and Natural Languages 177 Massimo Mugnai PART III MATHEMATICS 11. The Calculus 211 Siegmund Probst 12. Determinant Theory, Symmetric Functions, and Dyadic 225 Eberhard Knobloch 13. Analysis Situs, the Foundations of Mathematics, and a Geometry of Space 247 Vincenzo De Risi 14. Probability and Statistics 259 James Cussens PART IV THE PHYSICAL WORLD AND ITS METAPHYSICAL GROUNDING 15. The Labyrinth of the Continuum 275 Richard T. W. Arthur 16. Early Physics 290 Philip Beeley 17. Force and Dynamics 304 Daniel Garber and Tzuchien Tho 18. Body and Corporeal Substance 331 Daniel Garber 19. Monads 356 Donald Rutherford Contents ix 20. Monadic Perception 381 Heinrich Schepers 21. Mind and Body 393 Adam Harmer 22. Space and Time 410 Heinrich Schepers PART V SCIENTIFIC AND TECHNICAL WORK 23. Optics 425 Jeffrey K. McDonough 24. Cosmology 438 Domenico Bertoloni Meli 25. The Origins and History of the Earth 453 Andre Wakefield 26. Physiology and Organic Bodies 466 François Duchesneau 27. Medicine 485 Justin E. H. Smith 28. Alchemy and Chemistry 500 Anne- Lise Rey 29. Calculating Machine 509 Matthew L. Jones 30. The Technology of Mining and Other Technical Innovations 526 Hartmut Hecht and Jürgen Gottschalk PART VI SCIENTIFIC ORGANIZATIONS, CULTURAL NETWORKING, AND SCHOLARSHIP 31. Scientific Organizations and Learned Societies 543 Hartmut Rudolph 32. Leibniz’s Network 563 Howard Hotson