Philosophy of Logic and Language
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Pluralisms About Truth and Logic Nathan Kellen University of Connecticut - Storrs, [email protected]
University of Connecticut OpenCommons@UConn Doctoral Dissertations University of Connecticut Graduate School 8-9-2019 Pluralisms about Truth and Logic Nathan Kellen University of Connecticut - Storrs, [email protected] Follow this and additional works at: https://opencommons.uconn.edu/dissertations Recommended Citation Kellen, Nathan, "Pluralisms about Truth and Logic" (2019). Doctoral Dissertations. 2263. https://opencommons.uconn.edu/dissertations/2263 Pluralisms about Truth and Logic Nathan Kellen, PhD University of Connecticut, 2019 Abstract: In this dissertation I analyze two theories, truth pluralism and logical pluralism, as well as the theoretical connections between them, including whether they can be combined into a single, coherent framework. I begin by arguing that truth pluralism is a combination of realist and anti-realist intuitions, and that we should recognize these motivations when categorizing and formulating truth pluralist views. I then introduce logical functionalism, which analyzes logical consequence as a functional concept. I show how one can both build theories from the ground up and analyze existing views within the functionalist framework. One upshot of logical functionalism is a unified account of logical monism, pluralism and nihilism. I conclude with two negative arguments. First, I argue that the most prominent form of logical pluralism faces a serious dilemma: it either must give up on one of the core principles of logical consequence, and thus fail to be a theory of logic at all, or it must give up on pluralism itself. I call this \The Normative Problem for Logical Pluralism", and argue that it is unsolvable for the most prominent form of logical pluralism. Second, I examine an argument given by multiple truth pluralists that purports to show that truth pluralists must also be logical pluralists. -
Misconceived Relationships Between Logical Positivism and Quantitative Research: an Analysis in the Framework of Ian Hacking
DOCUMENT RESUME ED 452 266 TM 032 553 AUTHOR Yu, Chong Ho TITLE Misconceived Relationships between Logical Positivism and Quantitative Research: An Analysis in the Framework of Ian Hacking. PUB DATE 2001-04-07 NOTE 26p. PUB TYPE Opinion Papers (120) ED 2S PRICE MF01/PCO2 Plus Postage. 'DESCRIPTORS *Educational Research; *Research Methodology IDENTIFIERS *Logical Positivism ABSTRACT Although quantitative research methodology is widely applied by psychological researchers, there is a common misconception that quantitative research is based on logical positivism. This paper examines the relationship between quantitative research and eight major notions of logical positivism:(1) verification;(2) pro-observation;(3) anti-cause; (4) downplaying explanation;(5) anti-theoretical entities;(6) anti-metaphysics; (7) logical analysis; and (8) frequentist probability. It is argued that the underlying philosophy of modern quantitative research in psychology is in sharp contrast to logical positivism. Putting the labor of an out-dated philosophy into quantitative research may discourage psychological researchers from applying this research approach and may also lead to misguided dispute between quantitative and qualitative researchers. What is needed is to encourage researchers and students to keep an open mind to different methodologies and apply skepticism to examine the philosophical assumptions instead of accepting them unquestioningly. (Contains 1 figure and 75 references.)(Author/SLD) Reproductions supplied by EDRS are the best that can be made from the original document. Misconceived relationships between logical positivism and quantitative research: An analysis in the framework of Ian Hacking Chong Ho Yu, Ph.D. Arizona State University April 7, 2001 N N In 4-1 PERMISSION TO REPRODUCE AND DISSEMINATE THIS MATERIALHAS BEEN GRANTED BY Correspondence: TO THE EDUCATIONAL RESOURCES Chong Ho Yu, Ph.D. -
John P. Burgess Department of Philosophy Princeton University Princeton, NJ 08544-1006, USA [email protected]
John P. Burgess Department of Philosophy Princeton University Princeton, NJ 08544-1006, USA [email protected] LOGIC & PHILOSOPHICAL METHODOLOGY Introduction For present purposes “logic” will be understood to mean the subject whose development is described in Kneale & Kneale [1961] and of which a concise history is given in Scholz [1961]. As the terminological discussion at the beginning of the latter reference makes clear, this subject has at different times been known by different names, “analytics” and “organon” and “dialectic”, while inversely the name “logic” has at different times been applied much more broadly and loosely than it will be here. At certain times and in certain places — perhaps especially in Germany from the days of Kant through the days of Hegel — the label has come to be used so very broadly and loosely as to threaten to take in nearly the whole of metaphysics and epistemology. Logic in our sense has often been distinguished from “logic” in other, sometimes unmanageably broad and loose, senses by adding the adjectives “formal” or “deductive”. The scope of the art and science of logic, once one gets beyond elementary logic of the kind covered in introductory textbooks, is indicated by two other standard references, the Handbooks of mathematical and philosophical logic, Barwise [1977] and Gabbay & Guenthner [1983-89], though the latter includes also parts that are identified as applications of logic rather than logic proper. The term “philosophical logic” as currently used, for instance, in the Journal of Philosophical Logic, is a near-synonym for “nonclassical logic”. There is an older use of the term as a near-synonym for “philosophy of language”. -
Concrete Possible Worlds (Final)
CONCRETE POSSIBLE WORLDS Phillip Bricker 1. INTRODUCTION. Open a book or article of contemporary analytic philosophy, and you are likely to find talk of possible worlds therein. This applies not only to analytic metaphysics, but to areas as diverse as philosophy of language, philosophy of science, epistemology, and ethics. Philosophers agree, for the most part, that possible worlds talk is extremely useful for explicating concepts and formulating theories. They disagree, however, over its proper interpretation. In this chapter, I discuss the view, championed by David Lewis, that philosophers’ talk of possible worlds is the literal truth.1 There exists a plurality of worlds. One of these is our world, the actual world, the physical universe that contains us and all our surroundings. The others are merely possible worlds containing merely possible beings, such as flying pigs and talking donkeys. But the other worlds are no less real or concrete for being merely possible. Fantastic? Yes! What could motivate a philosopher to believe such a tale? I start, as is customary, with modality.2 Truths about the world divide into two sorts: categorical and modal. Categorical truths describe how things are, what is actually the case. Modal truths describe how things could or must be, what is possibly or 1 The fullest statement of Lewis’s theory of possible worlds is contained in his magnum opus, Lewis (1986), On the Plurality of Worlds. Lewis’s view is sometimes called “modal realism.” 2 Historically, it was the attempt to provide semantics for modal logic that catapulted possible worlds to the forefront of analytic philosophy. -
David Lewis's Place in Analytic Philosophy Scott Soames by The
David Lewis’s Place in Analytic Philosophy Scott Soames By the early 1970s, and continuing through 2001, David Lewis and Saul Kripke had taken over W.V.O. Quine’s leadership in metaphysics, epistemology, philosophy of language, and philosophical logic in the English-speaking world. Quine, in turn, had inherited his position in the early 1950s from Rudolf Carnap, who had been the leading logical positivist -- first in Europe, and, after 1935, in America. A renegade positivist himself, Quine eschewed apriority, necessity, and analyticity, while (for a time) adopting a holistic version of verificationism. Like Carnap, he placed philosophical logic and the philosophy of science at the center of philosophy. While not entirely avoiding metaphysics and epistemology, he tried to “naturalize” both. By contrast, Lewis and Kripke embraced the modalities Quine rejected.1 They also had no sympathy for his early verificationism, or his twin flights from intension and intention. As for philosophy of science, it was transforming itself into specialized philosophies of the several sciences, and did not lend itself to unified treatment. Although Lewis had deep interests in scientific issues, and was commendably realist about science in general, science itself was not the center of own distinctive approach to philosophy. Despite similarities in their opposition to Quine, the differences between Lewis and Kripke were large – especially in the semantics and metaphysics of modality. They also had different philosophical styles. Whereas Lewis was a wide-ranging thinker who pieced together a systematic philosophical world view, Kripke gave little thought to system, focusing instead on a few central topics. There is, therefore, no conflict between the two on many of the issues on which Kripke was silent. -
Philosophy of Logic (Routledge Revivals)
Routledge Revivals Philosophy of Logic First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general. This page intentionally left blank Philosophy of Logic Hilary Putnam First published in the UK in 1972 by George Allen & Unwin Ltd This edition first published in 2010 by Routledge 2 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN Simultaneously published in the USA and Canada by Routledge 270 Madison Avenue, New York, NY 10016 Routledge is an imprint of the Taylor & Francis Group, an informa business © 1971 Hilary Putnam All rights reserved. No part of this book may be reprinted or reproduced or utilised in any form or by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying and recording, or in any information storage or retrieval system, without permission in writing from the publishers. Publisher’s Note The publisher has gone to great lengths to ensure the quality of this reprint but points out that some imperfections in the original copies may be apparent. Disclaimer The publisher has made every effort to trace copyright holders and welcomes correspondence from those they have been unable to contact. A Library of Congress record exists under ISBN: 0041600096 ISBN 13: 978-0-415-58092-2 (hbk) ISBN 10: 0-415-58092-7 (hbk) Philosophy of Logic This page intentionally left blank This page intentionally left blank This page intentionally left blank Philosophy of Logic ••••• Hilary Putnam PHILOSOPHY OF LOGIC. -
Topics in Philosophical Logic
Topics in Philosophical Logic The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters Citation Litland, Jon. 2012. Topics in Philosophical Logic. Doctoral dissertation, Harvard University. Citable link http://nrs.harvard.edu/urn-3:HUL.InstRepos:9527318 Terms of Use This article was downloaded from Harvard University’s DASH repository, and is made available under the terms and conditions applicable to Other Posted Material, as set forth at http:// nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of- use#LAA © Jon Litland All rights reserved. Warren Goldfarb Jon Litland Topics in Philosophical Logic Abstract In “Proof-Theoretic Justification of Logic”, building on work by Dummett and Prawitz, I show how to construct use-based meaning-theories for the logical constants. The assertability-conditional meaning-theory takes the meaning of the logical constants to be given by their introduction rules; the consequence-conditional meaning-theory takes the meaning of the log- ical constants to be given by their elimination rules. I then consider the question: given a set of introduction (elimination) rules , what are the R strongest elimination (introduction) rules that are validated by an assertabil- ity (consequence) conditional meaning-theory based on ? I prove that the R intuitionistic introduction (elimination) rules are the strongest rules that are validated by the intuitionistic elimination (introduction) rules. I then prove that intuitionistic logic is the strongest logic that can be given either an assertability-conditional or consequence-conditional meaning-theory. In “Grounding Grounding” I discuss the notion of grounding. My discus- sion revolves around the problem of iterated grounding-claims. -
Redalyc.Logical Consequence for Nominalists
THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia ISSN: 0495-4548 [email protected] Universidad del País Vasco/Euskal Herriko Unibertsitatea España ROSSBERG, Marcus; COHNITZ, Daniel Logical Consequence for Nominalists THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia, vol. 24, núm. 2, 2009, pp. 147- 168 Universidad del País Vasco/Euskal Herriko Unibertsitatea Donostia-San Sebastián, España Available in: http://www.redalyc.org/articulo.oa?id=339730809003 How to cite Complete issue Scientific Information System More information about this article Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Journal's homepage in redalyc.org Non-profit academic project, developed under the open access initiative Logical Consequence for Nominalists Marcus ROSSBERG and Daniel COHNITZ BIBLID [0495-4548 (2009) 24: 65; pp. 147-168] ABSTRACT: It has repeatedly been argued that nominalistic programmes in the philosophy of mathematics fail, since they will at some point or other involve the notion of logical consequence which is unavailable to the nominalist. In this paper we will argue that this is not the case. Using an idea of Nelson Goodman and W.V.Quine's which they developed in Goodman and Quine (1947) and supplementing it with means that should be nominalistically acceptable, we present a way to explicate logical consequence in a nominalistically acceptable way. Keywords: Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine. 1. The Argument from Logical Consequence We do not have any strong convictions concerning the question of the existence or non- existence of abstract objects. We do, however, believe that ontological fastidiousness is prima facie a good attitude to adopt. -
Philosophy of Logic
Philosophy of Logic Fall 2005 - Winter 2006 Our goal over these two quarters is to think through a series of positions on the nature of logical truth. We’ll focus on the most fundamental questions: what is the ground of logical truth? (what makes logical truths true?), and how do we come to know these truths? I have in mind here the simplest of logical truths -- if it’s either red or green and it’s not red, then it must be green -- or the simplest of logical validities -- any situation in which all men are mortal and Socrates is a man is a situation in which Socrates is mortal. The default requirement for those taking the course for a grade (other than S/U) is three short papers (750-1250 words) due at the beginning of class in the 4th week, 7th week, and 10th week. Each paper should isolate one localized point in the readings and offer some analysis and/or critique. Other options are open to negotiation. I assume everyone has access to copies of: Carnap, Logical Syntax of Language. Frege, A Frege Reader (edited by Beany). Wittgenstein, Tractatus Logico-Philosophicus (preferably the Ogden translation). Philosophical Investigations. Course copies of Anscombe, Black, Fogelin, Hacker, Kenny, Kripke, McGinn, Mounce, Ostrow, Pears, Stenius, Stern (both books), and Wittgenstein’s Remarks on the Foundations of Mathematics will be kept in Brian Rogers’ office for borrowing. All other assigned reading (plus some extra material for the curious) will be available outside my office for photocopying. Please come to the first meeting prepared to discuss the Kant reading. -
Philosophy of Language in the Twentieth Century Jason Stanley Rutgers University
Philosophy of Language in the Twentieth Century Jason Stanley Rutgers University In the Twentieth Century, Logic and Philosophy of Language are two of the few areas of philosophy in which philosophers made indisputable progress. For example, even now many of the foremost living ethicists present their theories as somewhat more explicit versions of the ideas of Kant, Mill, or Aristotle. In contrast, it would be patently absurd for a contemporary philosopher of language or logician to think of herself as working in the shadow of any figure who died before the Twentieth Century began. Advances in these disciplines make even the most unaccomplished of its practitioners vastly more sophisticated than Kant. There were previous periods in which the problems of language and logic were studied extensively (e.g. the medieval period). But from the perspective of the progress made in the last 120 years, previous work is at most a source of interesting data or occasional insight. All systematic theorizing about content that meets contemporary standards of rigor has been done subsequently. The advances Philosophy of Language has made in the Twentieth Century are of course the result of the remarkable progress made in logic. Few other philosophical disciplines gained as much from the developments in logic as the Philosophy of Language. In the course of presenting the first formal system in the Begriffsscrift , Gottlob Frege developed a formal language. Subsequently, logicians provided rigorous semantics for formal languages, in order to define truth in a model, and thereby characterize logical consequence. Such rigor was required in order to enable logicians to carry out semantic proofs about formal systems in a formal system, thereby providing semantics with the same benefits as increased formalization had provided for other branches of mathematics. -
The Ascent from Nominalism Philosophical Studies Series
THE ASCENT FROM NOMINALISM PHILOSOPHICAL STUDIES SERIES Editors: WILFRID SELLARS, University of Pittsburgh KEITH LEHRER, University of Arizona Board of Consulting Editors: J ON A THAN BENNETT, Syracuse University ALLAN GIBBARD, University of Michigan ROBERT STALNAKER, Cornell University ROBERT G. TURNBULL, Ohio State University VOLUME 37 TERR Y PENNER Department of Philosophy, The University of Wisconsin at Madison, U.S.A. THE ASCENT FROM NOMINALISM Some Existence Arguments in Plato's Middle Dialogues D. REIDEL PUBLISHING COMPANY ~~ A MEMBER OF THE KLUWER . ACADEMIC PUBLISHERS GROUP DORDRECHTj BOSTONj LANCASTERjTOKYO Library of Congress Cataloging in Publication Data Penner, Terry, 1936- The ascent from nominalism. (Philosophical studies series; v. 37) Bibliography: p. Includes indexes. 1. Plato. 2. Aristotle. 3. Metaphysics-History. 4. Nominalism-History. I. Title. II. Series. B395.P347 1987 111'.2'0924 86·31641 ISBN-13: 978-94-010-8186-3 e-ISBN-13: 978-94-009-3791-8 DOl: 10.1007/978-94-009-3791-8 Published by D. Reidel Publishing Company, P.O. Box 17, 3300 AA Dordrecht, Holland. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 101 Philip Drive, Assinippi Park, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland. All Rights Reserved © 1987 by D. Reidel Publishing Company, Dordrecht, Holland Softcover reprint of the hardcover I 5t edition 1987 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical induding photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner ACKNOWLEDGEMENTS Much of this work was conceived and executed between 1971 and 1975, though some of it was done much earlier, and a few bits are quite recent. -
Review of Philosophical Logic: an Introduction to Advanced Topics*
Teaching Philosophy 36 (4):420-423 (2013). Review of Philosophical Logic: An Introduction to Advanced Topics* CHAD CARMICHAEL Indiana University–Purdue University Indianapolis This book serves as a concise introduction to some main topics in modern formal logic for undergraduates who already have some familiarity with formal languages. There are chapters on sentential and quantificational logic, modal logic, elementary set theory, a brief introduction to the incompleteness theorem, and a modern development of traditional Aristotelian Logic: the “term logic” of Sommers (1982) and Englebretsen (1996). Most of the book provides compact introductions to the syntax and semantics of various familiar formal systems. Here and there, the authors briefly indicate how intuitionist logic diverges from the classical treatments that are more fully explored. The book is appropriate for an undergraduate-level second course in logic that will approach the topic from a philosophical (rather than primarily mathematical) perspective. Philosophical topics (sometimes very briefly) touched upon in the book include: intuitionist logic, substitutional quantification, the nature of logical consequence, deontic logic, the incompleteness theorem, and the interaction of quantification and modality. The book provides an effective jumping-off point for several of these topics. In particular, the presentation of the intuitive idea of the * George Englebretsen and Charles Sayward, Philosophical Logic: An Introduction to Advanced Topics (New York: Continuum International Publishing Group, 2013), 208 pages. 1 incompleteness theorem (chapter 7) is the right level of rigor for an undergraduate philosophy student, as it provides the basic idea of the proof without getting bogged down in technical details that would not have much philosophical interest.