Alterity and Transcendence ./

Total Page:16

File Type:pdf, Size:1020Kb

Alterity and Transcendence ./ Alterity and Transcendence ./ / EMMANUEL LEVINAS Translated by Michael B. Smith - dt THE ATHLONE PRESS LONDON c\'7·" '· Tb V, S "f ~ Contents I · ~t H UNlV -lJ l L \8 c~ 1o First published in the United Kingdom 1999 by Translator's Note Vll THE ATHLONE PRESS Preface by Pierre Hayat IX 1 Park Drive, London NWll 7SG © 1999 The Athlone Press Oringally published as Alterit( et Transcendence© Fata Morgana 1995 I THE OTHER TRANSCENDENCE 1 The publishers wish to express their appreciation of assistance given 1 Philosophy and Transcendence 3 by the government of France through Le Ministere de Ia Culture in 2 Totality and Totalization 39 the preparation of his translation. 3 Infinity 53 C~UTJT" British Library Cataloguing-in-Publication Data A catalogue record for this book is available II PHILOSOPHY OF DIALOGUE AND from the British Library r J -1 FIRST PHILOSOPHY 77 K ),)~ NL L. ISBN 0 485 11519 0 N (I 4 Beyond Dialogue 79 5 The Word I, the Word You, the Word All rights reserved. No part of this publica­ tion may be reproduced, stored in a retrieval God 91 system, or transmitted in any form or by any 6 The Proximity of the Other 97 means, electronic, mechanical, photocopying 7 Utopia and Socialism 111 or otherwise, without prior permission in writing from the publisher. · ~ III PEACE AND RIGHT 119 Typeset by Ensystems, Saffron Walden 8 The Prohibition against Representation Printed and bound in Great Britain by and 'The Rights of Man' 121 Cambridge University Press 9 Peace and Proximity 131 10 The Rights of the Other Man 145 v Contents IV CONVERSATIONS 151 11 The Philosopher and Death 153 12 Violence of the Face 169 Translator)s Note Bibliographical Note 183 Notes 185 193 Index The French 'moi' is consistently translated as I, and the French 'je' as I, without the italics. The pronoun 'he' and related forms are sometimes used, as in the French original, to refer to hypothetical persons of either sex; the terms 'man' and 'fellow man' are also used in this way. Levinas's 'prochain,' a nominalized adjective meaning 'next,' is translated sometimes as 'fellow man' and sometimes as 'neighbour.' English words in square brackets, if in the main text, are intended to clarify ·ambiguities in my trans­ lation; if in the footnotes, to differentiate my notes from. those of the author. Italicized French words in brackets are Levinas's own, which I supply either in cases in wliich a technical distinction might otherwise be lost, or when the morphology of the original word carries semantic connotations _that cannot be translated. !f I would like to express my gratitude to Alisa Ray of the Berry College Faculty Research and Sponsored Programs Office for final manuscript preparation, and to my wife Helen for her helpful stylistic / suggestions. Vll VI l Preface Philosophy Between Totality / and Transcendence by Pierre Hayat 'Philosophy is Platonic' (Emmanuel Levinas) 'Alterity and Transcendence' the title Emmanuel :·1 Levinas has chosen for the present volume, which groups twelve texts written between 1967 and 1989, leads us directly to the idea that · transcendence is 'alive in the relation to the other man' (see below, p. 126). How are we to perceive what is at stake in this thesis of Levinas's? First, by recalling that 'transcen­ dence' can be construed variously. Levinas insists that l etymologically 'transcendence indicates a movement l of crossing over (trans), but also of ascent (scando).' 1 In its etymological sense, transcendence leads us to the notion of going beyond, of upward movement, or I of a gesture that moves beyond itself. Transcendence rI would appear to be the marker of the paradox of a relation with what is separate. 'It is a way for the I distant to give itself.' tf IX ... I~ Preface Preface This tension toward the beyond - this look lifted Thus, man is no longer required to dissolve into a toward the heights - would, on this view, originally higher reality. Transcendence becomes the intimate be mediated through ~he sacred. Human beings structure of subjectivity. In other words, it is subjec­ bowed before what was beyond them. Their greatness tivity that is found at the beginning of the movement came from their being dissolved into a higher domain of transcendence. Levin as calls upon Jean Wahl, his of being, that of the absolute or eternal. friend and interlocutor for several decades, to express II' Such is clearly not the direction taken by Levinas. that idea. 'Man is always beyond himself. But that For in that figure of transcendence we recognize the beyond-oneself must eventually be conscious of the 'magic mentality' that prompts men to believe that fact that it is himself that is the source of transcen­ the world in which they live is governed by mysteri­ dence.'4 The transcendence of subjectivity attests to ous powers. Levinas reminds us that Western philos­ this amazing possibility of going beyond any actual ophy has contributed to the liberation of men from situation and exceeding any definition. that 'false and cruel transcendence.'2 Reason delivers But 'modern philosophy,' looking at transcendence us from the illusion of a 'world-behind-the-world.' It from the point of view of subjectivity, renders the frees mankind from the fear of an imaginary beyond. notion of transcendence problematic. Indeed, is there The world that, having become for man an object of not something like an an antimony in the proposition: knowledge, has lost its troubling strangeness, hence­ 'The subject transcends itself? Either we have a true forth appears without secrets and open to theoretical transcendence, but in that case the subject is carried investigation and within technology's grasp. along in its transcendent movement, and, in that Does this mean that today transcendence has lost adventure, .the subject, ceasing to be itself, loses its all meaning? With the modern philosophies of the identity, or its substance; or the subject remains itself subject, we are witnessing a transmutation of the idea in its movement of transcendence, but then there of transcendence, rather than its eviction. Transcen­ may be doubt as to whether or not there is true dence cannot be reduced to the transcendent. It does transcendence.5 Thus, 'the celebrated project of the not define a dimension of the real that reaches beyond modern philosophers, in which the subject surpasses the inner life. It accompanies the birth of human itself by creating,' returns the subject to itself, without subjectivity. 'It is not a question here of making making a true transcendence, a going out from self, transcendence subjective, but of being amazed at possible.6 subjectivity (... ) as the very modality of the What is the source of this impossibility, for the ~ rrtetaphysical.'3 modern philosopher, of maintaining the subject intact X Xl Preface Preface tn the movement of transcendence, without the lat­ In such a relational context, conflict inel uctably ter's losing its meaning? It lies in his persistant becomes the essential mode of the relation to the attachment to the age-old privilege of the One. other, as each subject sees its power of transcendence I Whether transcendence expresses the subject's ability wrested from it by the other. And as Sartre writes: to distance itself from any real actuality and affirm 'The other as a look is nothing but this: my transcen­ itself as pure freedom, or whether it refers to the dence transcended.'8 subject's power of realizing itself in history through In order for a true transcendence to be possible, its works, its underlying principle is in the idea of the the other must concern the I, while at the same time identity of being. remaining external to it. It is especially necessary that Levinas is dedicated to rethinking transcendence the other, by his very exeriority, his alterity, should by other pathways than those taken by the modern cause the I to exit the self. Levinas wants to show philosophies of the subject. To do this; he does not that the other, by his face, attests to himself, simply, give a definition of transcendence a priori, but shows directly, without going through any mediation. That how a 'new transcendence' is the very meaning of exceptional capacity of the face to testify to itself 'the human.' Levinas's philosophy is constructed on outside all objective context and independently of the the basis of a non-constructed intuition: that of the intersubjective field is, of itself, a message addressed upsurge of transcen~nce as a 'question to the Other to the subject. By the non-ordinary manner in which and about the other.'7 Transcendence is born of the it manifests itself, the face opposes violence with intersubjective relation. metaphysical · resistance. In doing so, the face raises But in order to bring transcendence into view does the subject to responsibility. it suffice to assent to the foundational character of W e see how Levinas proposes to think the inter­ intersubjectivity? When the intersubjective relation is subjective relation: not as a reciprocal but as a asym­ metrical relation; not on the basis of a common space presented as a mirror - lik~ relation in which each subject stands face to face with the freedom of the but across the ecart separating the I from the other, other, alterity is still being thought on the basis of the as a lowering, in discontinuity. identity of the I . Transcendence, or the going out In such a relation, the I does not put itself in from oneself, cannot, under these circumstances, come question; it is put in question by the other. It is into view.
Recommended publications
  • Structural Reflection and the Ultimate L As the True, Noumenal Universe Of
    Scuola Normale Superiore di Pisa CLASSE DI LETTERE Corso di Perfezionamento in Filosofia PHD degree in Philosophy Structural Reflection and the Ultimate L as the true, noumenal universe of mathematics Candidato: Relatore: Emanuele Gambetta Prof.- Massimo Mugnai anno accademico 2015-2016 Structural Reflection and the Ultimate L as the true noumenal universe of mathematics Emanuele Gambetta Contents 1. Introduction 7 Chapter 1. The Dream of Completeness 19 0.1. Preliminaries to this chapter 19 1. G¨odel'stheorems 20 1.1. Prerequisites to this section 20 1.2. Preliminaries to this section 21 1.3. Brief introduction to unprovable truths that are mathematically interesting 22 1.4. Unprovable mathematical statements that are mathematically interesting 27 1.5. Notions of computability, Turing's universe and Intuitionism 32 1.6. G¨odel'ssentences undecidable within PA 45 2. Transfinite Progressions 54 2.1. Preliminaries to this section 54 2.2. Gottlob Frege's definite descriptions and completeness 55 2.3. Transfinite progressions 59 3. Set theory 65 3.1. Preliminaries to this section 65 3.2. Prerequisites: ZFC axioms, ordinal and cardinal numbers 67 3.3. Reduction of all systems of numbers to the notion of set 71 3.4. The first large cardinal numbers and the Constructible universe L 76 3.5. Descriptive set theory, the axioms of determinacy and Luzin's problem formulated in second-order arithmetic 84 3 4 CONTENTS 3.6. The method of forcing and Paul Cohen's independence proof 95 3.7. Forcing Axioms, BPFA assumed as a phenomenal solution to the continuum hypothesis and a Kantian metaphysical distinction 103 3.8.
    [Show full text]
  • (De)Constructing Boundaries
    21st Harvard East Asia Society Graduate Conference (DE)CONSTRUCTING BOUNDARIES 9-10 February, 2018 21st Annual Harvard East Asia Society Graduate Conference (DE)CONSTRUCTING BOUNDARIES CGIS South, Harvard University 9-10 February, 2018 Abstract Booklet 1 Table of Contents Welcome Note 3 Sponsors 4 Keynote Speakers 5 Campus Map 6 Harvard Guest Wi-fi access 6 Panel Information 7 Panel A: (De)constructing Nation: Gendered Bodies in the Making of Modern Korea 7 Panel B: Urban Fabrics Unraveled 9 Panel C: Reimagining the boundary of novelistic styles in Pre-modern East Asia 10 Panel D: Transmission and Displacement in Literature 12 Panel E: Reframing Regionalism in East Asia 14 Panel F: Art and Visual Culture in Context 16 Panel G: Traversing Boundaries in Education 18 Panel H: Transnationalism in the Age of Empire 20 Panel I: Re-examining Boundaries in Chinese Politics in Xi Jinping's "New Era" 23 Panel K: Media Across Boundaries 28 Panel L: De(constructing) Myths of Migration 29 2 Welcome Note Welcome to the 21st annual Harvard East Asia Society Conference! It is our privilege to host graduate students working across all disciplines to exchange ideas and discuss their research related to Asia. In addition to receiving feedback from their peers and leading academics, participants have the opportunity to meet others doing similar research and forge new professional relationships. This year’s theme, “(De)constructing Boundaries”, critically assesses boundaries - physical, national, cultural, spatial, temporal, and disciplinary - between different spatial- temporal areas of study. As the concept of “Asia” continues to evolve, the construction and deconstruction of boundaries will enable redefinitions of collective knowledge, culture, and identity.
    [Show full text]
  • A Cardinal Sin: the Infinite in Spinoza's Philosophy
    Macalester College DigitalCommons@Macalester College Philosophy Honors Projects Philosophy Department Spring 2014 A Cardinal Sin: The nfinitI e in Spinoza's Philosophy Samuel H. Eklund Macalester College, [email protected] Follow this and additional works at: http://digitalcommons.macalester.edu/phil_honors Part of the Philosophy Commons Recommended Citation Eklund, Samuel H., "A Cardinal Sin: The nfinitI e in Spinoza's Philosophy" (2014). Philosophy Honors Projects. Paper 7. http://digitalcommons.macalester.edu/phil_honors/7 This Honors Project is brought to you for free and open access by the Philosophy Department at DigitalCommons@Macalester College. It has been accepted for inclusion in Philosophy Honors Projects by an authorized administrator of DigitalCommons@Macalester College. For more information, please contact [email protected]. A Cardinal Sin: The Infinite in Spinoza’s Philosophy By: Samuel Eklund Macalester College Philosophy Department Honors Advisor: Geoffrey Gorham Acknowledgements This thesis would not have been possible without my advisor, Professor Geoffrey Gorham. Through a collaborative summer research grant, I was able to work with him in improving a vague idea about writing on Spinoza’s views on existence and time into a concrete analysis of Spinoza and infinity. Without his help during the summer and feedback during the past academic year, my views on Spinoza wouldn’t have been as developed as they currently are. Additionally, I would like to acknowledge the hard work done by the other two members of my honors committee: Professor Janet Folina and Professor Andrew Beveridge. Their questions during the oral defense and written feedback were incredibly helpful in producing the final draft of this project.
    [Show full text]
  • Qualitative Freedom
    Claus Dierksmeier Qualitative Freedom - Autonomy in Cosmopolitan Responsibility Translated by Richard Fincham Qualitative Freedom - Autonomy in Cosmopolitan Responsibility Claus Dierksmeier Qualitative Freedom - Autonomy in Cosmopolitan Responsibility Claus Dierksmeier Institute of Political Science University of Tübingen Tübingen, Baden-Württemberg, Germany Translated by Richard Fincham American University in Cairo New Cairo, Egypt Published in German by Published by Transcript Qualitative Freiheit – Selbstbestimmung in weltbürgerlicher Verantwortung, 2016. ISBN 978-3-030-04722-1 ISBN 978-3-030-04723-8 (eBook) https://doi.org/10.1007/978-3-030-04723-8 Library of Congress Control Number: 2018964905 © The Editor(s) (if applicable) and The Author(s) 2019. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
    [Show full text]
  • On the Infinite in Leibniz's Philosophy
    On the Infinite in Leibniz's Philosophy Elad Lison Interdisciplinary Studies Unit Science, Technology and Society Ph.D. Thesis Submitted to the Senate of Bar-Ilan University Ramat-Gan, Israel August 2010 This work was carried out under the supervision of Dr. Ohad Nachtomy (Department of Philosophy), Bar-Ilan University. Contents א.……………………………….…………………………………………Hebrew Abstract Prologue…………………………………………………………...………………………1 Part A: Historic Survey Methodological Introduction…………………………………………………………..15 1. Aristotle: Potential Infinite………………………………………………………….16 2. Thomas Aquinas: God and the Infinite………………………………………..…….27 3. William of Ockham: Syncategorematic and Actual Infinite……………………..….32 4. Rabbi Abraham Cohen Herrera: Between Absolute Unity and Unbounded Multitude………………………………………………………………………..….42 5. Galileo Galilei: Continuum Constructed from Infinite Zero's………………………49 6. René Descartes: Infinite as Indefinite…………………………………………….…58 7. Pierre Gassendi: Rejection of the Infinite…………………………………………...69 8. Baruch Spinoza: Infinite Unity…………………………………………………...…73 9. General Background: Leibniz and the History of the Infinite……………………....81 Summary…………………………………………………………………………….…94 Part B: Mathematics Introduction…………………………………………………………………………….99 1. 'De Arte Combinatoria' as a Formal Basis for Thought: Retrospective on Leibniz's 1666 Dissertation………………………………………………………………....102 2. Leibniz and the Infinitesimal Calculus……………………………………….……111 2.1. Mathematical Background: Mathematical Works in 16th-17th Centuries…..111 2.2. Leibniz's Mathematical Development…………………………………….…127
    [Show full text]
  • Cantor on Infinity in Nature, Number, and the Divine Mind
    Cantor on Infinity in Nature, Number, and the Divine Mind Anne Newstead Abstract. The mathematician Georg Cantor strongly believed in the existence of actually infinite numbers and sets. Cantor’s “actualism” went against the Aristote- lian tradition in metaphysics and mathematics. Under the pressures to defend his theory, his metaphysics changed from Spinozistic monism to Leibnizian volunta- rist dualism. The factor motivating this change was two-fold: the desire to avoid antinomies associated with the notion of a universal collection and the desire to avoid the heresy of necessitarian pantheism. We document the changes in Can- tor’s thought with reference to his main philosophical-mathematical treatise, the Grundlagen (1883) as well as with reference to his article, “Über die verschiedenen Standpunkte in bezug auf das aktuelle Unendliche” (“Concerning Various Perspec- tives on the Actual Infinite”) (1885). I. he Philosophical Reception of Cantor’s Ideas. Georg Cantor’s dis- covery of transfinite numbers was revolutionary. Bertrand Russell Tdescribed it thus: The mathematical theory of infinity may almost be said to begin with Cantor. The infinitesimal Calculus, though it cannot wholly dispense with infinity, has as few dealings with it as possible, and contrives to hide it away before facing the world Cantor has abandoned this cowardly policy, and has brought the skeleton out of its cupboard. He has been emboldened on this course by denying that it is a skeleton. Indeed, like many other skeletons, it was wholly dependent on its cupboard, and vanished in the light of day.1 1Bertrand Russell, The Principles of Mathematics (London: Routledge, 1992 [1903]), 304.
    [Show full text]
  • Jürgen Habermas and the Third Reich Max Schiller Claremont Mckenna College
    Claremont Colleges Scholarship @ Claremont CMC Senior Theses CMC Student Scholarship 2012 Jürgen Habermas and the Third Reich Max Schiller Claremont McKenna College Recommended Citation Schiller, Max, "Jürgen Habermas and the Third Reich" (2012). CMC Senior Theses. Paper 358. http://scholarship.claremont.edu/cmc_theses/358 This Open Access Senior Thesis is brought to you by Scholarship@Claremont. It has been accepted for inclusion in this collection by an authorized administrator. For more information, please contact [email protected]. Introduction The formation and subsequent actions of the Nazi government left a devastating and indelible impact on Europe and the world. In the midst of general technological and social progress that has occurred in Europe since the Enlightenment, the Nazis represent one of the greatest social regressions that has occurred in the modern world. Despite the development of a generally more humanitarian and socially progressive conditions in the western world over the past several hundred years, the Nazis instigated one of the most diabolic and genocidal programs known to man. And they did so using modern technologies in an expression of what historian Jeffrey Herf calls “reactionary modernism.” The idea, according to Herf is that, “Before and after the Nazi seizure of power, an important current within conservative and subsequently Nazi ideology was a reconciliation between the antimodernist, romantic, and irrantionalist ideas present in German nationalism and the most obvious manifestation of means ...modern technology.” 1 Nazi crimes were so extreme and barbaric precisely because they incorporated modern technologies into a process that violated modern ethical standards. Nazi crimes in the context of contemporary notions of ethics are almost inconceivable.
    [Show full text]
  • Cantor-Von Neumann Set-Theory Fa Muller
    Logique & Analyse 213 (2011), x–x CANTOR-VON NEUMANN SET-THEORY F.A. MULLER Abstract In this elementary paper we establish a few novel results in set the- ory; their interest is wholly foundational-philosophical in motiva- tion. We show that in Cantor-Von Neumann Set-Theory, which is a reformulation of Von Neumann's original theory of functions and things that does not introduce `classes' (let alone `proper classes'), developed in the 1920ies, both the Pairing Axiom and `half' the Axiom of Limitation are redundant — the last result is novel. Fur- ther we show, in contrast to how things are usually done, that some theorems, notably the Pairing Axiom, can be proved without invok- ing the Replacement Schema (F) and the Power-Set Axiom. Also the Axiom of Choice is redundant in CVN, because it a theorem of CVN. The philosophical interest of Cantor-Von Neumann Set- Theory, which is very succinctly indicated, lies in the fact that it is far better suited than Zermelo-Fraenkel Set-Theory as an axioma- tisation of what Hilbert famously called Cantor's Paradise. From Cantor one needs to jump to Von Neumann, over the heads of Zer- melo and Fraenkel, and then reformulate. 0. Introduction In 1928, Von Neumann published his grand axiomatisation of Cantorian Set- Theory [1925; 1928]. Although Von Neumann's motivation was thoroughly Cantorian, he did not take the concept of a set and the membership-relation as primitive notions, but the concepts of a thing and a function — for rea- sons we do not go into here. This, and Von Neumann's cumbersome nota- tion and terminology (II-things, II.I-things) are the main reasons why ini- tially his theory remained comparatively obscure.
    [Show full text]
  • A Study of Alterity and Influence in the Literary and Philosophical Neighbourhood of Jean Genet and Emmanuel Levinas
    A study of alterity and influence in the literary and philosophical neighbourhood of Jean Genet and Emmanuel Levinas Thomas F. Newman University College London A thesis submitted for the degree of Doctor of Philosophy January 2008 UMI Number: U593B63 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Dissertation Publishing UMI U593363 Published by ProQuest LLC 2013. Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code. ProQuest LLC 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 Declaration I declare that the work presented in this PhD is my own. This thesis is the one on which I wish to be examined. Thomas F. Newman 29 January 2008 2 Thesis Abstract The dissertation is a chiasmic reading of the works of Jean Genet and Emmanuel Levinas, examining the way they each address the relation to the Other in terms of ethics and subjectivity. Whereas a straightforward association between the two writers might seem paradoxical because of the differences in their approaches and rhetoric, a chiasmic reading allows intricate approaches, moments of proximity and departures to be read both conceptually and aesthetically. We show that these two writers share a tightly-woven discursive neighbourhood, and examine that neighbourhood through detailed analysis of various textual encounters.
    [Show full text]
  • Lost in the Labyrinth: Spinoza, Leibniz and the Continuum Lost in the Labyrinth: Spinoza, Leibniz and the Continuum
    LOST IN THE LABYRINTH: SPINOZA, LEIBNIZ AND THE CONTINUUM LOST IN THE LABYRINTH: SPINOZA, LEIBNIZ AND THE CONTINUUM By PATRICK RIESTERER, B.A. A Thesis Submitted to the School of Graduate Studies In Partial Fulfillment ofthe Requirements For the Degree Master ofArts McMaster University © Copyright by Patrick Riesterer, August 2006 MASTER OF ARTS (2006) McMaster University (Philosophy) Hamilton, Ontario TITLE: Lost in the Labyrinth: Spinoza, Leibniz and the Continuum AUTHOR: Patrick Riesterer, B.A. (Trinity Western University) SUPERVISOR: Professor Richard Arthur NUMBER OF PAGES: vi, 110 ii Abstract In this thesis, I address the extent ofSpinoza's influence on the development of Leibniz's response to the continuum problem, with particular emphasis on his relational philosophy oftime and space. I expend the first chapter carefully reconstructing Spinoza's position on infinity and time. We see that Spinoza developed a threefold definition ofinfinity to explain the difference between active substance and its passive modes. Spinoza advances a syncategorematic interpretation ofinfinity, and founds a causal theory oftime directly on this conception ofinfinity. In the second chapter, I examine the changes Leibniz's understanding ofthe continuum problem underwent during 1676 and immediately thereafter. During this period, Leibniz's interacted extensively with Spinoza's ideas. We see that several fundamental features ofLeibniz's philosophy oftime take shape at this time. Leibniz adopts a Spinozistic definition ofdivine eternity and immensity, he reevaluates several analogies in an attempt to understand how the attributes ofa substance interrelate, and he develops the notion ofthe law of the series that will become an essential feature ofmonadic appetition. Leibniz synthesizes several ofthese discoveries into a first philosophy ofmotion.
    [Show full text]
  • A Mathematical Model of Divine Infinity
    A Mathematical Model of Divine Infinity Prof. Eric Steinhart, Department of Philosophy, William Paterson University, Wayne NJ 07470. Email: <[email protected]>, <[email protected]>. Published in 2009 in Theology and Science 7 (3), 261 – 274. ABSTRACT: Mathematics is obviously important in the sciences. And so it is likely to be equally important in any effort that aims to understand God in a scientifically significant way or that aims to clarify the relations between science and theology. The degree to which God has any perfection is absolutely infinite. We use contemporary mathematics to precisely define that absolute infinity. For any perfection, we use transfinite recursion to define an endlessly ascending series of degrees of that perfection. That series rises to an absolutely infinite degree of that perfection. God has that absolutely infinite degree. We focus on the perfections of knowledge, power, and benevolence. Our model of divine infinity thus builds a bridge between mathematics and theology. KEYWORDS: God; mathematics; perfection; infinity; Cantor; transfinite recursion. 1. Introduction All will agree that science makes extensive use of mathematics. At least in physics, scientific progress seems to go hand in hand with increasing formalization. More sophisticated physical theories are also more highly mathematical. And the correlation of progress with increasing formalization also appears sciences like chemistry and biology as well. Mathematics is obviously important in the sciences. And so it is likely to be equally important in any effort that aims to understand God in a scientifically significant way or that aims to clarify the relations between science and theology. Nevertheless, mathematics has seen little application in theology.
    [Show full text]
  • Self and Other in Critical International Theory: Assimilation, Incommensurability and the Paradox of Critique*
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by St Andrews Research Repository 1 SELF AND OTHER IN CRITICAL INTERNATIONAL THEORY: ASSIMILATION, INCOMMENSURABILITY AND THE PARADOX OF CRITIQUE* Vassilios Paipais Paper accepted for publication in the REVIEW OF INTERNATIONAL STUDIES Abstract: This paper is principally concerned with the way some sophisticated critical approaches in International Relations (IR) tend to compromise their critical edge in their engagement with the self/other problematic. Critical approaches that understand critique as total non-violence towards, or unreflective affirmation of, alterity risk falling back into precritical paths, i.e. either a particularistic, assimilative universalism with pretensions of true universality or radical incommensurability and the impossibility of communication with the other. This is what this paper understands as the paradox of the politics of critique. Instead, what is more important than seeking a final overcoming or dismissal of the self/other opposition is to gain the insight that it is the perpetual striving to preserve the tension and ambivalence between self and other that rescues both critique’s authority and function. Vassilios Paipais is a research student at the International Relations Department of the London School of Economics and Political Science and an LSE100 Tutorial Fellow. He is currently co-Convenor of CRIPT, a BISA working group, and his interests include International Relations theory, political theory, international political theory, international ethics, strategic studies and military history. *I would like to thank George Papanicolaou, Felix Berenskoetter and two anonymous referees of this journal for their helpful and constructive criticism.
    [Show full text]