Identity and Difference in Hegel's Logic
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The Unity of Heidegger's Project
REFERENCE ONLY UNIVERSITY OF LONDON THESIS Degree fV\o Year Too£ Name of Author A-A COPYRIGHT This is a thesis accepted for a Higher Degree of the University of London. It is an unpublished typescript and the copyright is held by the author. All persons consulting the thesis must read and abide by the Copyright Declaration below. COPYRIGHT DECLARATION I recognise that the copyright of the above-described thesis rests with the author and that no quotation from it or information derived from it may be published without the prior written consent of the author. LOANS Theses may not be lent to individuals, but the Senate House Library may lend a copy to approved libraries within the United Kingdom, for consultation solely on the premises of those libraries. Application should be made to: Inter-Library Loans, Senate House Library, Senate House, Malet Street, London WC1E 7HU. REPRODUCTION University of London theses may not be reproduced without explicit written permission from the Senate House Library. Enquiries should be addressed to the Theses Section of the Library. Regulations concerning reproduction vary according to the date of acceptance of the thesis and are listed below as guidelines. A. Before 1962. Permission granted only upon the prior written consent of the author. (The Senate House Library will provide addresses where possible). B. 1962- 1974. In many cases the author has agreed to permit copying upon completion of a Copyright Declaration. C. 1975 - 1988. Most theses may be copied upon completion of a Copyright Declaration. D. 1989 onwards. Most theses may be copied. This thesis comes within category D. -
A New Logic for Uncertainty
A New Logic for Uncertainty ∗ LUO Maokang and HE Wei† Institute of Mathematics Institute of Mathematics Sichuan University Nanjing Normal University Chengdu, 610064 Nanjing, 210046 P.R.China P.R.China Abstract Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking truth value semantics and randomicity by taking probabilistic semantics or possibility semantics. As the first step for purpose of establishing a logic system which completely reflect the uncertainty of the objective world, this logic will lead to a set of logical foundations for uncertainty theory as what classical logic done in certain or definite situations or circumstances. Keywords: Fuzziness; randomicity; UL-algebra; uncertain propositional logic. Mathematics Subject Classifications(2000): 03B60. 1 Introduction As one of the most important and one of the most widely used concepts in the whole area of modern academic or technologic research, uncertainty has been involved into study and applications more than twenty years. Now along with the quickly expanding requirements of developments of science and technology, people are having to face and deal with more and more problems tangled with uncertainty in the fields of natural science, engineering or technology or even in social science. To these uncertain prob- arXiv:1506.03123v1 [math.LO] 9 Jun 2015 lems, many traditional theories and methods based on certain conditions or certain circumstances are not so effective and powerful as them in the past. So the importance of research on uncertainty is emerging more and more obviously and imminently. -
Russell's Theory of Descriptions
Russell’s theory of descriptions PHIL 83104 September 5, 2011 1. Denoting phrases and names ...........................................................................................1 2. Russell’s theory of denoting phrases ................................................................................3 2.1. Propositions and propositional functions 2.2. Indefinite descriptions 2.3. Definite descriptions 3. The three puzzles of ‘On denoting’ ..................................................................................7 3.1. The substitution of identicals 3.2. The law of the excluded middle 3.3. The problem of negative existentials 4. Objections to Russell’s theory .......................................................................................11 4.1. Incomplete definite descriptions 4.2. Referential uses of definite descriptions 4.3. Other uses of ‘the’: generics 4.4. The contrast between descriptions and names [The main reading I gave you was Russell’s 1919 paper, “Descriptions,” which is in some ways clearer than his classic exposition of the theory of descriptions, which was in his 1905 paper “On Denoting.” The latter is one of the optional readings on the web site, and I reference it below sometimes as well.] 1. DENOTING PHRASES AND NAMES Russell defines the class of denoting phrases as follows: “By ‘denoting phrase’ I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present king of England, the centre of mass of the Solar System at the first instant of the twentieth century, the revolution of the earth around the sun, the revolution of the sun around the earth. Thus a phrase is denoting solely in virtue of its form.” (‘On Denoting’, 479) Russell’s aim in this article is to explain how expressions like this work — what they contribute to the meanings of sentences containing them. -
Florensky and Frank
View metadata, citation and similar papers at core.ac.uk brought to you by CORE Po zn ań skie Studia Teologiczne Tom 22, 2008 ADAM DROZDEK Duquesne University, Pittsburgh, Pennsylvania Defying Rationality: Florensky and Frank Przezwyciężyć racjonalność: Fiorenski i Frank What should be the basis of knowledge in theological matters? The question has been pondered upon by theologians for centuries and not a few proposals were made. One of these was made by the Orthodox priest and scientist Pavel Florensky in The pillar and ground of the truth (1914) considered to be the most original and influen tial work of the Russian religious renaissance1, marking “the beginning of a new era in Russian theology”2 and even “one of the most significant accomplishments of ec clesiastical thinking in the twentieth century”3. Proposals made in a work deemed to be so important certainly arrest attention. I. THE LAW OF IDENTITY A centerpiece of rationalism, according to Florensky, is the law of identity, A = A, which is the source of powerlessness of rational reasoning. “The law A = A be comes a completely empty schema of self-affirmation” so that “I = I turns out to be ... a cry of naked egotism: ‘I!’ For where there is no difference, there can be no con- 1 R. Slesinski, Pavel Florensky: a metaphysics o f love, Crestwood: St. Vladimir’s Seminary Press 1984, 22. 2 N. Zernov, The Russian religious renaissance of the twentieth century, London: Darton, Longman & Todd 1963, 101. 3 M. Silberer, Die Trinitatsidee im Werk von Pavel A. Florenskij: Versuch einer systematischen Darstellung in Begegnung mit Thomas von Aquin, Wtirzburg: Augustinus-Verlag 1984, 254. -
Being Qua Being
OUP UNCORRECTED PROOF – FIRST-PROOF, 01/06/12, NEWGEN part iv BEING AND BEINGS 114_Shields_Ch14.indd4_Shields_Ch14.indd 334141 11/6/2012/6/2012 66:02:56:02:56 PPMM OUP UNCORRECTED PROOF – FIRST-PROOF, 01/06/12, NEWGEN 114_Shields_Ch14.indd4_Shields_Ch14.indd 334242 11/6/2012/6/2012 66:02:59:02:59 PPMM OUP UNCORRECTED PROOF – FIRST-PROOF, 01/06/12, NEWGEN Chapter 14 BEING QUA BEING Christopher Shields I. Three Problems about the Science of Being qua Being ‘There is a science (epistêmê),’ says Aristotle, ‘which studies being qua being (to on hê(i) on), and the attributes belonging to it in its own right’ (Met. 1003a21–22). This claim, which opens Metaphysics IV 1, is both surprising and unsettling—sur- prising because Aristotle seems elsewhere to deny the existence of any such science and unsettling because his denial seems very plausibly grounded. He claims that each science (epistêmê) studies a unified genus (APo 87a39-b1), but he denies that there is a single genus for all beings (APo 92b14; Top. 121a16, b7–9; cf. Met. 998b22). Evidently, his two claims conspire against the science he announces: if there is no genus of being and every science requires its own genus, then there is no science of being. This seems, moreover, to be precisely the conclusion drawn by Aristotle in his Eudemian Ethics, where he maintains that we should no more look for a gen- eral science of being than we should look for a general science of goodness: ‘Just as being is not something single for the things mentioned [viz. -
Vol. 3 No. 1 January – June, 2014 Page the QUESTION of “BEING”
Vol. 3 No. 1 January – June, 2014 THE QUESTION OF “BEING” IN AFRICAN PHILOSOPHY Lucky U. OGBONNAYA, M.A. Essien Ukpabio Presbyterian Theological College, Itu, Nigeria Abstract This work is of the view that the question of being is not only a problem in Western philosophy but also in African philosophy. It, therefore, posits that being is that which is and has both abstract and concrete aspect. The work arrives at this conclusion by critically analyzing and evaluating the views of some key African philosophers with respect to being. With this, it discovers that the way that these African philosophers have postulated the idea of being is in the same manner like their Western philosophers whom they tried to criticize. This work tries to synthesize the notions of beings of these African philosophers in order to reach at a better understanding of being. This notion of being leans heavily on Asouzu’s ibuanyidanda ontology which does not bifurcate or polarize being, but harmonizes entities or realities that seem to be contrary or opposing in being. KEYWORDS: Being, Ifedi, Ihedi, Force (Vital Force), Missing Link, Muntu, Ntu, Nkedi, Ubuntu, Uwa Introduction African philosophy is a critical and rational explanation of being in African context, and based on African logic. It is in line with this that Jonathan Chimakonam avers that “in African philosophy we study reality of which being is at the center” (2013, 73). William Wallace remarks that “being signifies a concept that has the widest extension and the least comprehension” (1977, 86). It has posed a lot of problems to philosophers who tend to probe into it, its nature and manifestations. -
Overturning the Paradigm of Identity with Gilles Deleuze's Differential
A Thesis entitled Difference Over Identity: Overturning the Paradigm of Identity With Gilles Deleuze’s Differential Ontology by Matthew G. Eckel Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Arts Degree in Philosophy Dr. Ammon Allred, Committee Chair Dr. Benjamin Grazzini, Committee Member Dr. Benjamin Pryor, Committee Member Dr. Patricia R. Komuniecki, Dean College of Graduate Studies The University of Toledo May 2014 An Abstract of Difference Over Identity: Overturning the Paradigm of Identity With Gilles Deleuze’s Differential Ontology by Matthew G. Eckel Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Arts Degree in Philosophy The University of Toledo May 2014 Taking Gilles Deleuze to be a philosopher who is most concerned with articulating a ‘philosophy of difference’, Deleuze’s thought represents a fundamental shift in the history of philosophy, a shift which asserts ontological difference as independent of any prior ontological identity, even going as far as suggesting that identity is only possible when grounded by difference. Deleuze reconstructs a ‘minor’ history of philosophy, mobilizing thinkers from Spinoza and Nietzsche to Duns Scotus and Bergson, in his attempt to assert that philosophy has always been, underneath its canonical manifestations, a project concerned with ontology, and that ontological difference deserves the kind of philosophical attention, and privilege, which ontological identity has been given since Aristotle. -
The Development of Laws of Formal Logic of Aristotle
This paper is dedicated to my unforgettable friend Boris Isaevich Lamdon. The Development of Laws of Formal Logic of Aristotle The essence of formal logic The aim of every science is to discover the laws that could explain one or another phenomenon. Once these laws are discovered, then science proceed to study the other phenomena, which in the nature are of an infinite set. It is interesting to note that in the process of discovering a law, for example in physics, people make thousands of experiments, build proves, among them some experience, or evidence - useful for understanding a certain phenomenon, but other experiments or evidence proved fruitless. But it is found only with hindsight, when the law is already discovered. Therefore, with the discovering of the law it is enough to show 2 - 3 experiments or prove to verify its correctness. All other experiments were the ways of study and there is no need to repeat them, to understand how the law works. In the exact sciences, it is understood, and therefore the students studies only the information that is necessary to understand specific phenomena. By no means this is the case with the study of formal logic. Formal logic, as opposed to other sciences: physics, chemistry, mathematics, biology and so on, studies not an infinite number of phenomena in nature, but only one how a man thinks, how he learns the world surrounding us, and how people understand each other. In other words, what laws govern the logic of our thinking, i.e., our reasoning and judgments in any science or in everyday life. -
The Philosophical Development of Gilbert Ryle
THE PHILOSOPHICAL DEVELOPMENT OF GILBERT RYLE A Study of His Published and Unpublished Writings © Charlotte Vrijen 2007 Illustrations front cover: 1) Ryle’s annotations to Wittgenstein’s Tractatus 2) Notes (miscellaneous) from ‘the red box’, Linacre College Library Illustration back cover: Rodin’s Le Penseur RIJKSUNIVERSITEIT GRONINGEN The Philosophical Development of Gilbert Ryle A Study of His Published and Unpublished Writings Proefschrift ter verkrijging van het doctoraat in de Wijsbegeerte aan de Rijksuniversiteit Groningen op gezag van de Rector Magnificus, dr. F. Zwarts, in het openbaar te verdedigen op donderdag 14 juni 2007 om 16.15 uur door Charlotte Vrijen geboren op 11 maart 1978 te Rolde Promotor: Prof. Dr. L.W. Nauta Copromotor: Prof. Dr. M.R.M. ter Hark Beoordelingscommissie: Prof. Dr. D.H.K. Pätzold Prof. Dr. B.F. McGuinness Prof. Dr. J.M. Connelly ISBN: 978-90-367-3049-5 Preface I am indebted to many people for being able to finish this dissertation. First of all I would like to thank my supervisor and promotor Lodi Nauta for his comments on an enormous variety of drafts and for the many stimulating discussions we had throughout the project. He did not limit himself to deeply theoretical discussions but also saved me from grammatical and stylish sloppiness. (He would, for example, have suggested to leave out the ‘enormous’ and ‘many’ above, as well as by far most of the ‘very’’s and ‘greatly’’s in the sentences to come.) After I had already started my new job outside the academic world, Lodi regularly – but always in a pleasant way – reminded me of this other job that still had to be finished. -
Ontological Pluralism About Non-Being Sara Bernstein, University of Notre Dame
Ontological Pluralism about Non-Being Sara Bernstein, University of Notre Dame Forthcoming in Non-Being: New Essays on the Metaphysics of Nonexistence, eds. Bernstein and Goldschmidt, Oxford University Press (UK) Neither square circles nor manned lunar stations exist. But might they fail to exist in different ways? A common assumption is “no”: everything that fails to exist, fails to exist in exactly the same way. Non-being doesn’t have joints or structure, the thinking goes—it is just a vast, undifferentiated nothingness. Even proponents of ontological pluralism, the view that there are multiple ways of being, do not entertain the possibility of multiple ways of non-being. This paper is dedicated to the latter idea. I argue that ontological pluralism about non-being, roughly, the view that there are multiple ways of non-being, is both more plausible and defensible and than it first seems, and it has many useful applications across a wide variety of metaphysical and explanatory problems.1 Here is the plan. In section 1, I lay out ontological pluralism about non-being in detail, drawing on principles of ontological pluralism about being. I address whether and how the two pluralisms interact: some pluralists about non-being are monists about being, and vice-versa. I discuss logical quantification strategies for pluralists about non-being. In Section 2, I examine precedent for pluralism about non-being in the history of philosophy. In section 3, I discuss several applications of pluralism about non-being. I suggest that the view has explanatory power across a variety of domains, and that the the view can account for differences between nonexistent past and future times, between omissions and absences, and between different kinds of fictional objects. -
The Physics and Metaphysics of Identity and Individuality Steven French and De´Cio Krause: Identity in Physics: a Historical, Philosophical, and Formal Analysis
Metascience (2011) 20:225–251 DOI 10.1007/s11016-010-9463-7 BOOK SYMPOSIUM The physics and metaphysics of identity and individuality Steven French and De´cio Krause: Identity in physics: A historical, philosophical, and formal analysis. Oxford: Clarendon Press, 2006, 440 pp, £68.00 HB Don Howard • Bas C. van Fraassen • Ota´vio Bueno • Elena Castellani • Laura Crosilla • Steven French • De´cio Krause Published online: 3 November 2010 Ó Springer Science+Business Media B.V. 2010 Don Howard Steven French and De´cio Krause have written what bids fair to be, for years to come, the definitive philosophical treatment of the problem of the individuality of elementary particles in quantum mechanics (QM) and quantum-field theory (QFT). The book begins with a long and dense argument for the view that elementary particles are most helpfully regarded as non-individuals, and it concludes with an earnest attempt to develop a formal apparatus for describing such non-individual entities better suited to the task than our customary set theory. D. Howard (&) Department of Philosophy and Graduate Program in History and Philosophy of Science, University of Notre Dame, Notre Dame, IN 46556, USA e-mail: [email protected] B. C. van Fraassen Philosophy Department, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA 94132, USA e-mail: [email protected] O. Bueno Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA e-mail: [email protected] E. Castellani Department of Philosophy, University of Florence, Via Bolognese 52, 50139 Florence, Italy e-mail: elena.castellani@unifi.it L. Crosilla Department of Pure Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT, UK e-mail: [email protected] 123 226 Metascience (2011) 20:225–251 Are elementary particles individuals? I do not know. -
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.