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Realizing Monads
anDrás kornai Realizing Monads ABSTrACT We reconstruct monads as cyclic finite state automata whose states are what Leibniz calls perceptions and whose transitions are automatically triggered by the next time tick he calls entelechy. This goes some way toward explaining key as- pects of the Monadology, in particular, the lack of inputs and outputs (§7) and the need for universal harmony (§59). 1. INTrODUCTION Monads are important both in category theory and in programming language de- sign, clearly demonstrating that Leibniz is greatly appreciated as the conceptual forerunner of much of abstract thought both in mathematics and in computer sci- ence. Yet we suspect that Leibniz, the engineer, designer of the Stepped reck- oner, would use the resources of the modern world to build a very different kind of monad. Throughout this paper, we confront Leibniz with our contemporary scientific understanding of the world. This is done to make sure that what we say is not “concretely empty” in the sense of Unger (2014). We are not interested in what we can say about Leibniz, but rather in what Leibniz can say about our cur- rent world model. readers expecting some glib demonstration of how our current scientific theories make Leibniz look like a fool will be sorely disappointed. Looking around, and finding a well-built Calculus ratiocinator in Turing ma- chines, pointer machines, and similar abstract models of computation, Leibniz would no doubt consider his Characteristica Universalis well realized in modern proof checkers such as Mizar, Coq, or Agda to the extent mathematical deduc- tion is concerned, but would be somewhat disappointed in their applicability to natural philosophy in general. -
Perception Is Truth
Perception is Truth... WHEN IT COMES TO LEASING AND SHOPPING REPORTS What is the truth? This age old question has some very deep implications that go way beyond the point of this training tip. Yet, the question reminds us that two people can experience the same incident and walk away with completely different perceptions of what actually happened. Sometimes, just like beauty, "truth” is in the eye of the beholder. It is a matter of perception. Shopping report information is a vivid example of the fact that perception is reality. Occasionally, an EPMS shopper remembers a specific leasing presentation somewhat differently than the on-site professional who was shopped and later evaluated in a written format. The shopper reports that the leasing consultant was a bit distracted and indifferent, not very friendly, or “didn’t seem interested in meeting my needs”. Yet, that individual’s supervisor cannot believe that this very friendly and warm staff member could ever come across in any way but delightful, enthusiastic and professional! “Everyone loves her!” the supervisor explains. Sometimes the gap between what the leasing professional believes about her presentation and what the shopper describes comes down to perception. Regardless of what really (or not really!) happened, the perception of the shopper – and that of the typical rental prospect – is the only “truth” that really matters! Leasing is all about perception, isn’t it? Fellow onsite associates may say, “He is the friendliest guy you’ll ever meet! We love him!” But if this “friendliest guy” is perceived as unfriendly, to that prospect he is unfriendly! “You know, Sara is really nice once you get to know her!” This may be “true”; but the reality is the prospect is unlikely to spend enough time “getting to know” Sara to override their initial impression. -
Leibniz and Monads
Leibniz and Monads The Human Situaon Team Omega, Spring 2010 Dr. Cynthia Freeland Overview • Leibniz’s Life • The Rise of Modernism • Monadology 1‐30 • All about Monads Leibniz 1646‐1716 The Duchess of Orleans said of him: “It's so rare for intellectuals to be smartly dressed, and not to smell, and to understand jokes.” A contemporary descripon of Leibniz “Leibniz was a man of medium height with a stoop, broad‐shouldered but bandy‐legged, as capable of thinking for several days sing in the same chair as of travelling the roads of Europe summer and winter. He was an indefagable worker, a universal leer writer (he had more than 600 correspondents), a patriot and cosmopolitan, a great scienst, and one of the most powerful spirits of Western civilisaon.” Goried Wilhelm von Leibniz “A walking encyclopedia” – King George I Monadology, 1714 Leibniz the Polymath • Studies in university: Law, philosophy, Lan, Greek • Independent: algebra, mathemacs, physics, dynamics, opcs, tried to create a submarine • Secretary of Nuremberg Alchemical Society • Laws of moon, gravity, mechanics, dynamics, topology, geology, linguiscs • Polics, internaonal affairs, economics, coinage, watches, lamps • Traveled to Paris, London, Vienna, Italy, etc. • Invented Infinitesimal calculus, created a notaon for it d(xn) = nxn‐1dx Leibniz’s Calculang Machine Leibniz and the Prince • 1676‐1716, Librarian to the Duke of Hanover • Privy councilor to successive members of the House of Brunswick of Hanover, and friend/correspondent/teacher of successive prominent women in the family -
It Should Never Be Forgotten for a Single Moment That
a s t u d y o n t he holy guardian angel a study on the holy guardian angel Content CHAPTER 1: A SHORT INTRODUCTION 2 CHAPTER 2: AMONG THE CHALDEAN 7 1. Introduction 7 2. Chaldean Demonology 8 3. Personal spirit relations among the Chaldeans 12 4. Summary 16 5. Selected Literature 17 CHAPTER 3: AMONG THE ZOROASTRIAN 18 1. Preamble 18 2. Introduction 19 3. Mazdian Demonology 22 4. The Constitution of Man 28 5. The Fravashis 32 6. The Ritual Practice 36 7. Selected Literature 40 CHAPTER 4: AMONG THE ANCIENT GREEK 42 1. Introduction 42 2. Plato’s Elements of the Soul - Logos, Eros and Thumos 43 3. The Nous - the Ancient Higher Self 47 4. The early Greek idea of the Daimon 53 5. The Socratic Daimonion 56 6. Deification of Man 59 7. The Evil Daimon 63 8. Selected Literature 70 © Copyright © 2013 by Frater Acher | www.theomagica.com All rights reserved. This eBook can be shared and distributed freely in its complete PDF format. However, no portion or quotes taken out of context may be reproduced or used in any manner whatsoever without the expressed written permission of the publisher except for the use of brief quotations in a book review. ii CHAPTER 1 a study on the holy guardian angel a short introduction I. OUTER PERSPECTIVE Few topics in Western Occultism gained as much attention and dedication by practitioners in recent decades as the Holy Guardian Angel. Since the teachings of the sage Abramelin - written down by Abraham of Worms - were published in 1725, for many attaining knowledge and conversation with one's personal guardian angel rose to become the epiphany of the magical Arte. -
Studies on Collingwood, History and Civilization
Studies on Collingwood, History and Civilization Jan van der Dussen Studies on Collingwood, History and Civilization Jan van der Dussen Heerlen , The Netherlands ISBN 978-3-319-20671-4 ISBN 978-3-319-20672-1 (eBook) DOI 10.1007/978-3-319-20672-1 Library of Congress Control Number: 2015951386 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifi cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfi lms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specifi c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com) Acknowledgements The following four essays are reproduced from their original publication. -
Perception and Law Enforcement
Perception and Law Enforcement Lt. Norman Hale White County Sheriff Department School of Law Enforcement Supervision Session XXXII Criminal Justice Institute Introduction Since the beginning, perception has been used by everyone. When man first said I am naked, I need clothing. The perception was I am naked. Without understanding why things are the way they appear man was fearful of the world around him. Superstitions overwhelmed man and his thoughts. It was an effort to explain the unexplainable. This is the perception of man and his surroundings. Early man worshiped nature in an attempt to change what was happening. At one time, it was believed that a man lived in the moon. This was based on the face seen on the moon. More resonantly, many believed there was or had been life on Mars, because of a photo taken as a satellite passed Mars showing a face on the surface (face on mars). This raised a large stir among people and the scientific community. It was not until some time later when a new photo was taken by a passing satellite, that the face on Mars proved to be a mountain and the face was formed by shadows cast across the surface of the mountain (face on mars). The attempt to understand how things are perceived goes back before the Egyptians were building pyramids. Modern man has devoted an extensive amount of time to studying perception and how it affects man. As the understanding of perception increases, the mystery that caused many superstitions is solved and man is no longer fearful. -
Iamblichus and Julian''s ''Third Demiurge'': a Proposition
Iamblichus and Julian”s ”Third Demiurge”: A Proposition Adrien Lecerf To cite this version: Adrien Lecerf. Iamblichus and Julian”s ”Third Demiurge”: A Proposition . Eugene Afonasin; John M. Dillon; John F. Finamore. Iamblichus and the Foundations of Late Platonism, 13, BRILL, p. 177-201, 2012, Ancient Mediterranean and Medieval Texts and Contexts. Studies in Platonism, Neoplatonism, and the Platonic Tradition, 10.1163/9789004230118_012. hal-02931399 HAL Id: hal-02931399 https://hal.archives-ouvertes.fr/hal-02931399 Submitted on 6 Sep 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Iamblichus and Julian‟s “Third Demiurge”: A Proposition Adrien Lecerf Ecole Normale Supérieure, Paris, France [email protected] ABSTRACT. In the Emperor Julian's Oration To the Mother of the Gods, a philosophical interpretation of the myth of Cybele and Attis, reference is made to an enigmatic "third Demiurge". Contrary to a common opinion identifying him to the visible Helios (the Sun), or to tempting identifications to Amelius' and Theodorus of Asine's three Demiurges, I suggest that a better idea would be to compare Julian's text to Proclus' system of Demiurges (as exposed and explained in a Jan Opsomer article, "La démiurgie des jeunes dieux selon Proclus", Les Etudes Classiques, 71, 2003, pp. -
Leibniz's Ultimate Theory Soshichi Uchii Abstract
Leibniz’s Ultimate Theory Soshichi Uchii Abstract This is a short summary of my new interpretation of Leibniz’s philosophy, including metaphysics and dynamics. Monadology is the core of his philosophy, but according to my interpretation, this document must be read together with his works on dynamics and geometry Analysis Situs, among others. Monadology describes the reality, the world of monads. But in addition, it also contains a theory of information in terms of the state transition of monads, together with a sketch of how that information is transformed into the phenomena via coding. I will argue that Leibniz’s program has a surprisingly wide range, from classical physics to the theories of relativity (special and general) , and extending even to quantum mechanics. 1. How should we read Monadology? Among Leibniz’s papers he completed in his last years, the one that should be regarded as containing the core of his system of knowledge is Monadology (1714). It is a theory of metaphysics, but I take it that Leibniz thought that it is the foundation of dynamics, and he envisaged that dynamics should be combined with his new geometry, called Analysis Situs. There are two firm grounds for the preceding assertion. The first is that Leibniz sketched the relationship between his metaphysics and dynamics, in the two papers New System and Specimen Dynamicum (both published in 1695; English tr. in Ariew and Garber 1989). If we wish to figure out a reasonable interpretation of Monadology, this ground must be taken very seriously. The second ground is the amazing accomplishments shown in The Metaphysical Foundations of Mathematics (written around the same time as Monadology; English tr. -
Leibniz' De Arte Combinatoria
Leibniz’ De arte combinatoria John N. Martin Department of Philosophy University of Cincinnati Cincinnati, OH 45221 [email protected] John N. Martin, 2003 Page 1 Leibniz’ De arte combinatoria I. INTRODUCTION Logicians, philosophers and to judge from the Internet even the general public are vaguely aware that Leibniz held views about logic that anticipate modern ideas of proof system and algorithm. Though there are many places in Leibniz’ works that might be cited as evidence for such claims, popular works cite virtually only two of Leibniz’ shorter papers, Characteristica universalis and De arte combinatoria. Curiously, though there are hundreds, maybe thousands, of references to these papers, nothing serious has been written in recent decades about the papers themselves that could be called a professional exegesis or discussion of their logical content. The purpose of this short paper is to remedy that lack by offering a “reconstruction” of the system Leibniz sketches in De arte combinatoria, which of the two essays is the one more focused on the notions of proof and algorithm. A point of caution about method should be made at the outset. Any modern “reconstruction” of views in the history of logic is by its nature a compromise. It is an attempt to preserve as much of the original content, including its terminology and formulas, as is possible while simultaneously meeting the standards of modern metatheory. For example, if it is possible to do justice to the original by observing standard formats, then they should be Page 2 followed. For example, if it is fair to the text, it is desirable to define the syntax inductively, state definitions set theoretically, develop notions of proof within an axiom or natural deduction system, and define semantic ideas in a recursive manner parallel to syntax. -
Gabriel Tarde
Gabriel Tarde Monadology and Sociology Monadology and Sociology re.press Edited & translated by Theo Lorenc Open Access Statement – Please Read This book is Open Access. This work is not simply an electronic book; it is the open access version of a work that exists in a number of forms, the traditional printed form being one of them. Copyright Notice This work is ‘Open Access’, published under a creative commons license which means that you are free to copy, distribute, display, and perform the work as long as you clearly attribute the work to the authors, that you do not use this work for any commercial gain in any form and that you in no way alter, transform or build on the work outside of its use in normal academic scholarship without express permission of the author and the publisher of this vol- ume. Furthermore, for any reuse or distribution, you must make clear to others the license terms of this work. For more information see the details of the creative commons licence at this website: http://creativecommons.org/licenses/by-nc-nd/2.5/ This means that you can: • read and store this document free of charge • distribute it for personal use free of charge • print sections of the work for personal use • read or perform parts of the work in a context where no financial transactions take place However, you cannot: • gain financially from the work in anyway • sell the work or seek monies in relation to the distribution of the work • use the work in any commercial activity of any kind • profit a third party indirectly via use or distribution -
Leibniz and Hermeneutics
Leibniz and Hermeneutics Leibniz and Hermeneutics Edited by Juan Antonio Nicolás, José M. Gómez Delgado and Miguel Escribano Cabeza Leibniz and Hermeneutics Edited by Juan Antonio Nicolás, José M. Gómez Delgado and Miguel Escribano Cabeza This book first published 2016 Cambridge Scholars Publishing Lady Stephenson Library, Newcastle upon Tyne, NE6 2PA, UK British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Copyright © 2016 by Juan Antonio Nicolás, José M. Gómez Delgado, Miguel Escribano Cabeza and contributors All rights for this book reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright owner. ISBN (10): 1-4438-8515-0 ISBN (13): 978-1-4438-8515-7 CONTENTS Preface ....................................................................................................... vii Part I: Leibniz and Hermeneutics Chapter One ................................................................................................ 3 The Possible Legacy of Leibniz’s Metaphysics in Hermeneutics JEAN GRONDIN Chapter Two ............................................................................................. 17 Perspective as Mediation between Interpretations JUAN A. NICOLÁS Part II: Leibniz and Heidegger Chapter Three ........................................................................................... 35 On -
Monadology a New Translation and Guide
Leibniz’s Monadology A New Translation and Guide Lloyd Strickland Leibniz’s Monadology A New Translation and Guide LLOYD STRICKLAND For Dan Cook and Vernon Pratt, for all of the help and support over the years: thank you © Lloyd Strickland, 2014 Edinburgh University Press Ltd The Tun - Holyrood Road, 12(2f) Jackson’s Entry, Edinburgh EH8 8PJ www.euppublishing.com Typeset in 11/13pt Ehrhardt MT Pro by Servis Filmsetting Ltd, Stockport, Cheshire and printed and bound in Great Britain by CPI Group (UK) Ltd, Croydon CR0 4YY A CIP record for this book is available from the British Library ISBN 978 0 7486 9321 4 (hardback) ISBN 978 0 7486 9323 8 (webready PDF) ISBN 978 0 7486 9322 1 (paperback) ISBN 978 0 7486 9324 5 (epub) The right of Lloyd Strickland to be identified as Author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988, and the Copyright and Related Rights Regulations 2003 (SI No. 2498). Contents Acknowledgements iv Key vi Abbreviations vii Introduction 1 About the Text and Translation 13 The Monadology 14 The Structure of the Monadology 34 The Monadology: Text with Running Commentary 39 Appendix 162 1. Theodicy 162 2. The Principles of Nature and Grace, Founded on Reason 270 3. Leibniz to Nicole Remond: Appendix on Monads 278 Glossary of Terms 280 Questions for Further Study 283 Further Reading 285 Index 292 Acknowledgements I would like to extend my warmest thanks to an anonymous reviewer for Edinburgh University Press for feedback on the entire manuscript. Parts of the commentary were incorporated into a talk given to members of the Oxford Philosophical Society in November 2013.