Monadologies
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
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. -
Johann Friedrich Herbart Metaphysics, Psychology, and Critique of Knowledge
Надя Моро – Научно-исследовательский семинар – Бакалавриат 4-й курс, 2 модуль 2014/2015 National Research University Higher School of Economics, Moscow Bachelor’s programme: 4th year, module 2 SYLLABUS OF RESEARCH SEMINAR Johann Friedrich Herbart Metaphysics, psychology, and critique of knowledge Outline During the course, students will be provided with a systematic introduction to the core conceptual issues of Johann Friedrich Herbart’s theoretical philosophy: general metaphysics and psychology. Herbart (Oldenburg, 1776–Göttingen, 1841) was a major German philosopher, who held Kant’s chair in Königsberg (1809–1833) and opposed German idealism from a realist perspective. Not only did he influence subsequent philosophy in the German, Austrian, and Bohemian areas to a great extent―suffice it to mention Lotze, Hanslick, Mach, Cohen, Husserl, as well as the numerous ‘Herbartians’: Hartenstein, Zimmermann, Steinthal, Lazarus, etc.―but his philosophical and educational theories were widely discussed also in Italy, the United States (cf. Peirce, the Herbart-Society), and Japan. Based on contextualisation within post-Kantian philosophy and close text reading, Herbart’s relationships to Kant’s Critique of pure reason, his metaphysical realism, epistemological functionalism, and establishment of scientific psychology will be analysed. Pre-requisites: students should be familiar with the Kantian philosophy and German idealism. Course type: compulsory Lecturer: Nadia Moro (Assistant professor of philosophy) office hours: please check www.hse.ru/staff/nmoro contact details: Staraya Basmannaya Ul., 21/4, room 207; [email protected] Learning objectives During the course, students should: be introduced to the complexity of post-Kantian philosophy in the German area; gain knowledge of the main achievements of Herbart as a prominent post-Kantian philosopher; master the terminology of Herbart’s epistemology and theory of mind; develop skills in close reading, analysis, contextualisation, and critical evaluation of Herbart’s psychological and epistemological texts (cf. -
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. -
Herbart and Herbartianism in European Pedagogy: History and Modernity
Materials of International Scienti c and Practical Conference “PROFESSIONAL AND COMMUNICATION CULTURE OF THE FUTURE DOCTOR: LINGUISTIC, PEDAGOGICAL AND PHILOSOPHICAL ASPECTS” УДК 371(091)(520) DOI 10.11603/me.2414-5998.2020.2.11143 N. O. Fedchyshyn¹ ORCID https://orcid.org/0000-0002-0909-4424 ResearcherID Q-5422-2016 Scopus Author ID 57202833382 Edvard Protner² Scopus Author ID 55749809900 ¹І. Horbachevsky Ternopil National Medical University ²University of Maribor, Slovenia HERBART AND HERBARTIANISM IN EUROPEAN PEDAGOGY: HISTORY AND MODERNITY Н. О. Федчишин¹, Едвард Протнер² ¹Тернопільський національний медичний університет імені І. Я. Горбачевського МОЗ України ²Маріборський університет, Словенія ГЕРБАРТ І ГЕРБАРТІАНСТВО В ЄВРОПЕЙСЬКІЙ ПЕДАГОГІЦІ: ІСТОРІЯ Й СУЧАСНІСТЬ Abstract. The proposed article offers an assessment of J.-F. Herbart and Herbartians in the history of pedagogy of Germany, pre- revolutionary Russia, and Ukraine; the in uence of the doctrine of J.-F. Herbart and Herbartians on the development of pedagogical science; borrowing ideas of these representatives in school education, namely the processes of formation, changes in directions, ideas, principles and tasks of the educational process; structural and substantive features of Herbartian pedagogy are revealed. It has been outlined the ways of popularizing Herbartianism in European countries and the signi cance of the theoretical heritage of Herbartians in the modern history of pedagogy. Key words: Herbartianism; J.-F. Herbart; pedagogical views; curriculum; theory and -
The Analytic-Synthetic Distinction and the Classical Model of Science: Kant, Bolzano and Frege
Synthese (2010) 174:237–261 DOI 10.1007/s11229-008-9420-9 The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege Willem R. de Jong Received: 10 April 2007 / Revised: 24 July 2007 / Accepted: 1 April 2008 / Published online: 8 November 2008 © The Author(s) 2008. This article is published with open access at Springerlink.com Abstract This paper concentrates on some aspects of the history of the analytic- synthetic distinction from Kant to Bolzano and Frege. This history evinces con- siderable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, that is, within the Classical Model of Science: scientific knowledge as cognitio ex principiis. But as we will see, the way the distinction between analytic and synthetic judgments or propositions functions within this model turns out to differ considerably between them. Keywords Analytic-synthetic · Science · Logic · Kant · Bolzano · Frege 1 Introduction As is well known, the critical Kant is the first to apply the analytic-synthetic distinction to such things as judgments, sentences or propositions. For Kant this distinction is not only important in his repudiation of traditional, so-called dogmatic, metaphysics, but it is also crucial in his inquiry into (the possibility of) metaphysics as a rational science. Namely, this distinction should be “indispensable with regard to the critique of human understanding, and therefore deserves to be classical in it” (Kant 1783, p. -
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. -
Bernard Bolzano. Theory of Science
428 • Philosophia Mathematica Menzel, Christopher [1991] ‘The true modal logic’, Journal of Philosophical Logic 20, 331–374. ———[1993]: ‘Singular propositions and modal logic’, Philosophical Topics 21, 113–148. ———[2008]: ‘Actualism’, in Edward N. Zalta, ed., Stanford Encyclopedia of Philosophy (Winter 2008 Edition). Stanford University. http://plato.stanford.edu/archives/win2008/entries/actualism, last accessed June 2015. Nelson, Michael [2009]: ‘The contingency of existence’, in L.M. Jorgensen and S. Newlands, eds, Metaphysics and the Good: Themes from the Philosophy of Robert Adams, Chapter 3, pp. 95–155. Oxford University Press. Downloaded from https://academic.oup.com/philmat/article/23/3/428/1449457 by guest on 30 September 2021 Parsons, Charles [1983]: Mathematics in Philosophy: Selected Essays. New York: Cornell University Press. Plantinga, Alvin [1979]: ‘Actualism and possible worlds’, in Michael Loux, ed., The Possible and the Actual, pp. 253–273. Ithaca: Cornell University Press. ———[1983]: ‘On existentialism’, Philosophical Studies 44, 1–20. Prior, Arthur N. [1956]: ‘Modality and quantification in S5’, The Journal of Symbolic Logic 21, 60–62. ———[1957]: Time and Modality. Oxford: Clarendon Press. ———[1968]: Papers on Time and Tense. Oxford University Press. Quine, W.V. [1951]: ‘Two dogmas of empiricism’, Philosophical Review 60, 20–43. ———[1969]: Ontological Relativity and Other Essays. New York: Columbia University Press. ———[1986]: Philosophy of Logic. 2nd ed. Cambridge, Mass.: Harvard University Press. Shapiro, Stewart [1991]: Foundations without Foundationalism: A Case for Second-order Logic.Oxford University Press. Stalnaker, Robert [2012]: Mere Possibilities: Metaphysical Foundations of Modal Semantics. Princeton, N.J.: Princeton University Press. Turner, Jason [2005]: ‘Strong and weak possibility’, Philosophical Studies 125, 191–217. -
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 -
Bolzano and the Traditions of Analysis
Bolzano and the Traditions of Analysis Paul Rusnock (Appeared in Grazer Phil. Studien 53 (1997) 61-86.) §1 Russell’s discussion of analytic philosophy in his popular History begins on a sur- prising note: the first analytic philosopher he mentions is . Weierstrass. His fur- ther remarks—in which he discusses Cantor and Frege, singling out their work in the foundations of mathematics—indicate that he thought that the origin of mod- ern philosophical analysis lay in the elaboration of modern mathematical analysis in the nineteenth century [13, 829-30]. Given the markedly different meanings attached to the word “analysis” in these two contexts, this juxtaposition might be dismissed as merely an odd coincidence. As it turns out, however, modern philo- sophical and mathematical analysis are rather closely linked. They have, for one thing, a common root, albeit one long since buried and forgotten. More important still, and apparently unknown to Russell, is the circumstance that one individual was instrumental in the creation of both: Bolzano. Russell’s account could easily leave one with the impression that analytic phi- losophy had no deep roots in philosophical tradition; that, instead, it emerged when methods and principles used more or less tacitly in mathematics were, af- ter long use, finally articulated and brought to the attention of the philosophical public. A most misleading impression this would be. For right at the begin- ning of the reconstruction of the calculus which Russell attributed to Weierstrass we find Bolzano setting out with great clarity the methodology guiding these de- velopments in mathematics—a methodology which, far from being rootless, was developed in close conjunction with Bolzano’s usual critical survey of the relevant philosophical literature.