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On Dummett's Pragmatist Justification Procedure
On Dummett's Pragmatist Justification Procedure Herm´ogenesOliveira Abstract I show that propositional intuitionistic logic is complete with re- spect to an adaptation of Dummett's pragmatist justification proce- dure. In particular, given a pragmatist justification of an argument, I show how to obtain a natural deduction derivation of the conclusion of the argument from, at most, the same assumptions. 1 Introduction Proof-theoretic definitions of validity can be considered as loosely inspired by Wittgenstein's ideas relating meaning and use. They attempt to explain of the concept of logical validity in terms of the deductive use of the log- ical constants, as expressed by inference rules. In this context, Gentzen's investigations into deduction, particularly his calculus of natural deduction, are often used as a starting point for explaining the meaning of the logical constants on the basis of rules governing their use. In the standard natural deduction calculus [6, 10], the deductive use of a logical constant is governed by its introduction and elimination rules. Thus, from a semantic perspective where meaning is explained on the basis of use, arXiv:1701.03380v2 [math.LO] 30 Jul 2018 the introduction and elimination rules express the canonical manner in which a sentence with a logical constant as main operator is used in a deductive argument: the introduction rules express the canonical use of the sentence as a conclusion, the elimination rules express the canonical use of the sentence as an assumption. Along these lines, Dummett [2, 3] proposed that the analysis of the deductive meaning of a logical constant into introduction and elimination rules accounts for two distinct aspects of its use. -
Aristotelian Finitism
Synthese DOI 10.1007/s11229-015-0827-9 S.I. : INFINITY Aristotelian finitism Tamer Nawar1 Received: 12 January 2014 / Accepted: 25 June 2015 © Springer Science+Business Media Dordrecht 2015 Abstract It is widely known that Aristotle rules out the existence of actual infinities but allows for potential infinities. However, precisely why Aristotle should deny the existence of actual infinities remains somewhat obscure and has received relatively little attention in the secondary literature. In this paper I investigate the motivations of Aristotle’s finitism and offer a careful examination of some of the arguments con- sidered by Aristotle both in favour of and against the existence of actual infinities. I argue that Aristotle has good reason to resist the traditional arguments offered in favour of the existence of the infinite and that, while there is a lacuna in his own ‘logi- cal’ arguments against actual infinities, his arguments against the existence of infinite magnitude and number are valid and more well grounded than commonly supposed. Keywords Aristotle · Aristotelian commentators · Infinity · Mathematics · Metaphysics 1 Introduction It is widely known that Aristotle embraced some sort of finitism and denied the exis- tence of so-called ‘actual infinities’ while allowing for the existence of ‘potential infinities’. It is difficult to overestimate the influence of Aristotle’s views on this score and the denial of the (actual) existence of infinities became a commonplace among philosophers for over two thousand years. However, the precise grounds for Aristo- tle’s finitism have not been discussed in much detail and, insofar as they have received attention, his reasons for ruling out the existence of (actual) infinities have often been B Tamer Nawar [email protected] 1 University of Oxford, 21 Millway Close, Oxford OX2 8BJ, UK 123 Synthese deemed obscure or ad hoc (e.g. -
Nielsen Collection Holdings Western Illinois University Libraries
Nielsen Collection Holdings Western Illinois University Libraries Call Number Author Title Item Enum Copy # Publisher Date of Publication BS2625 .F6 1920 Acts of the Apostles / edited by F.J. Foakes v.1 1 Macmillan and Co., 1920-1933. Jackson and Kirsopp Lake. BS2625 .F6 1920 Acts of the Apostles / edited by F.J. Foakes v.2 1 Macmillan and Co., 1920-1933. Jackson and Kirsopp Lake. BS2625 .F6 1920 Acts of the Apostles / edited by F.J. Foakes v.3 1 Macmillan and Co., 1920-1933. Jackson and Kirsopp Lake. BS2625 .F6 1920 Acts of the Apostles / edited by F.J. Foakes v.4 1 Macmillan and Co., 1920-1933. Jackson and Kirsopp Lake. BS2625 .F6 1920 Acts of the Apostles / edited by F.J. Foakes v.5 1 Macmillan and Co., 1920-1933. Jackson and Kirsopp Lake. PG3356 .A55 1987 Alexander Pushkin / edited and with an 1 Chelsea House 1987. introduction by Harold Bloom. Publishers, LA227.4 .A44 1998 American academic culture in transformation : 1 Princeton University 1998, c1997. fifty years, four disciplines / edited with an Press, introduction by Thomas Bender and Carl E. Schorske ; foreword by Stephen R. Graubard. PC2689 .A45 1984 American Express international traveler's 1 Simon and Schuster, c1984. pocket French dictionary and phrase book. REF. PE1628 .A623 American Heritage dictionary of the English 1 Houghton Mifflin, c2000. 2000 language. REF. PE1628 .A623 American Heritage dictionary of the English 2 Houghton Mifflin, c2000. 2000 language. DS155 .A599 1995 Anatolia : cauldron of cultures / by the editors 1 Time-Life Books, c1995. of Time-Life Books. BS440 .A54 1992 Anchor Bible dictionary / David Noel v.1 1 Doubleday, c1992. -
Michael Dummett the Nature and Future of Philosophy. New York: Columbia University Press 2010
Philosophy in Review XXXI (2011), no. 1 Michael Dummett The Nature and Future of Philosophy. New York: Columbia University Press 2010. 158 pages US$69.50 (cloth ISBN 978-0-231-15052-1); US$19.95 (paper ISBN 978-0-231-15053-8) This essay, first published in 2001 in Italian, is more a personal statement than an essay on the nature and future of philosophy. Dummett says how he thinks philosophy should be done and how he would like to see it develop. In particular, he summarizes his views regarding language, thought and the world with sidelong glances at other philosophers’ ideas and wrong turns. In Chapter 1 common apologies for philosophy are discounted in favor of defending the discipline on the grounds that ‘thought, without any specialized input from experience, can advance knowledge in unexpected directions’ (5). Next, in Chapter 2 (‘What is a Philosophical Question?’) and Chapter 3 (‘Philosophy as the Grammar of Thought’), Dummett nails his flag to the mast. We learn that philosophy ‘concerns our view of reality by seeking to clarify the concepts in terms of which we conceive of it, and hence the linguistic expressions by means of which we formulate our conception’ (11). So philosophy is not, as Quine would have it, continuous with ‘the most abstract part of science’, nor, as Wittgenstein insists, devoted to ‘cast[ing] light on what we already know from other sources, enabling us to see it with eyes unclouded by intellectual confusion’ (7). Indeed, when we consider how philosophers debate a philosophical question—Dummett discusses ‘Does time really pass?’ (8-10)—we see that philosophy is from beginning to end a conceptual endeavor. -
UC San Diego UC San Diego Previously Published Works
UC San Diego UC San Diego Previously Published Works Title Logical consequence: An epistemic outlook Permalink https://escholarship.org/uc/item/66m8m3gp Journal Monist, 85(4) ISSN 0026-9662 Author Sher, G Publication Date 2002 DOI 10.5840/monist200285432 Peer reviewed eScholarship.org Powered by the California Digital Library University of California Logical Consequence: An Epistemic Outlook Author(s): Gila Sher Source: The Monist, Vol. 85, No. 4, Consequences (OCTOBER 2002), pp. 555-579 Published by: Oxford University Press Stable URL: http://www.jstor.org/stable/27903798 Accessed: 10-08-2015 00:28 UTC Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://www.jstor.org/page/ info/about/policies/terms.jsp JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Oxford University Press is collaborating with JSTOR to digitize, preserve and extend access to The Monist. http://www.jstor.org This content downloaded from 137.110.34.89 on Mon, 10 Aug 2015 00:28:56 UTC All use subject to JSTOR Terms and Conditions Logical Consequence: An Epistemic Outlook The Ist-order thesis, namely, the thesis that logical consequence is standard lst-order logical consequence,1 has been widely challenged in recentdecades. My own challenge to this thesis inThe Bounds ofLogic (and related articles2) was motivated by what I perceived to be its inade quate philosophical grounding.The bounds of logic are, in an important sense, the bounds of logical constants, yet the bounds of the standard logical constants are specified by enumeration, i.e., dogmatically, without grounding or explanation. -
How Propaganda Works How Works
HOW PROPAGANDA WORKS HOW WORKS PRINCETON UNIVERSITY PRESS JASON STANLEY Princeton Oxford Copyright © 2015 by Princeton University Press Published by Princeton University Press 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW press.princeton.edu Jacket design by Chris Ferrante Excerpts from Victor Kemperer, The Language of the Third Reich: LTI, Lingua Tertii Imperii, translated by Martin Brady © Reclam Verlag Leipzig, 1975. Used by permission of Bloomsbury Academic, an imprint of Bloomsbury Publishing PLC. All Rights Reserved ISBN 978– 0– 691– 16442– 7 Library of Congress Control Number: 2014955002 British Library Cataloging- in- Publication Data is available This book has been composed in Sabon Next LT Pro and League Gothic Printed on acid- free paper. ∞ Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 This will always remain one of the best jokes of democracy, that it gave its deadly enemies the means by which it was destroyed. — JOSEPH GOEBBELS, REICH MINISTER OF PROPAGANDA, 1933– 45 CONTENTS Preface IX Introduction: The Problem of Propaganda 1 1 Propaganda in the History of Political Thought 27 2 Propaganda Defined 39 3 Propaganda in Liberal Democracy 81 4 Language as a Mechanism of Control 125 5 Ideology 178 6 Political Ideologies 223 7 The Ideology of Elites: A Case Study 269 Conclusion 292 Acknowledgments 295 Notes 305 Bibliography 335 Index 347 PREFACE In August 2013, after almost a decade of teaching at Rutgers University and living in apartments in New York City, my wife Njeri Thande and I moved to a large house in New Haven, Connecticut, to take up positions at Yale University. -
Consequences of Pragmatism University of Minnesota Press, 1982
estratto dal volume: RICHARD RORTY Consequences of Pragmatism University of Minnesota Press, 1982 INTRODUCTION 1. Platonists, Positivists, and Pragmatists The essays in this book are attempts to draw consequences from a prag- matist theory about truth. This theory says that truth is not the sort of thing one should expect to have a philosophically interesting theory about. For pragmatists, “truth” is just the name of a property which all true statements share. It is what is common to “Bacon did not write Shakespeare,” “It rained yesterday,” “E equals mc²” “Love is better than hate,” “The Alle- gory of Painting was Vermeer’s best work,” “2 plus 2 is 4,” and “There are nondenumerable infinities.” Pragmatists doubt that there is much to be said about this common feature. They doubt this for the same reason they doubt that there is much to be said about the common feature shared by such morally praiseworthy actions as Susan leaving her husband, Ameri- ca joining the war against the Nazis, America pulling out of Vietnam, Socrates not escaping from jail, Roger picking up litter from the trail, and the suicide of the Jews at Masada. They see certain acts as good ones to perform, under the circumstances, but doubt that there is anything gen- eral and useful to say about what makes them all good. The assertion of a given sentence—or the adoption of a disposition to assert the sentence, the conscious acquisition of a belief—is a justifiable, praiseworthy act in certain circumstances. But, a fortiori, it is not likely that there is something general and useful to be said about what makes All such actions good-about the common feature of all the sentences which one should ac- quire a disposition to assert. -
An Interview with Donald Davidson
An interview with Donald Davidson Donald Davidson is an analytic philosopher in the tradition of Wittgenstein and Quine, and his formulations of action, truth and communicative interaction have generated considerable debate in philosophical circles around the world. The following "interview" actually took place over two continents and several years. It's merely a part of what must now be literally hundreds of hours of taped conversations between Professor Davidson and myself. I hope that what follows will give you a flavor of Donald Davidson, the person, as well as the philosopher. I begin with some of the first tapes he and I made, beginning in Venice, spring of 1988, continuing in San Marino, in spring of 1990, and in St Louis, in winter of 1991, concerning his induction into academia. With some insight into how Professor Davidson came to the profession, a reader might look anew at some of his philosophical writings; as well as get a sense of how the careerism unfortunately so integral to academic life today was so alien to the generation of philosophers Davidson is a member of. The very last part of this interview is from more recent tapes and represents Professor Davidson's effort to try to make his philosophical ideas available to a more general audience. Lepore: Tell me a bit about the early days. Davidson: I was born in Springfield, Massachusetts, on March 6, 1917 to Clarence ("Davie") Herbert Davidson and Grace Cordelia Anthony. My mother's father's name was "Anthony" but her mother had married twice and by coincidence both her husbands were named "Anthony". -
1 Gila Sher Chen Bo Foundational Holism
1 GILA SHER CHEN BO∗ FOUNDATIONAL HOLISM, SUBSTANTIVE THEORY OF TRUTH, AND A NEW PHILOSOPHY OF LOGIC: INTERVIEW WITH GILA SHER BY CHEN BO (Ⅰ) (To appear Chinese Journal of Philosophy (Blackwell, A&HCI)), 2018 ABSTRACT This interview consists of four parts. The first part outlines Gila Sher’s academic background and earlier research. Although getting strong intellectual influence from Kant, Quine, and Tarski, Sher tries to keep her intellectual independence. The second part discusses Sher’s foundational holism. Among its distinctive features are: applicability to all branches of knowledge; a substantial grounding-in-reality requirement; focus on structural holism; sanctioning not only a rich network of connections among theories, but also a rich network of connections between theories and the world; and a fine-grained approach to circularity, including the introduction of “constructive” circularity. Based on her foundational holism, Sher puts forward a post- Quinean model of knowledge. This involves (i) a conception of reality that puts abstract and concrete features of objects on a par, (ii) a conception of intellect as central to empirical as well as to abstract knowledge, (iii) a conception of intellectual knowledge as quasi rather than fully apriori, (iv) a new paradigm of intellectual activity - “figuring out,” and (v) a new conception of realism - “basic realism” - applicable to all fields of knowledge. The third part discusses Sher’s substantive theory of truth. The theory sets forth three basic principles of truth: the “fundamental principle of truth,” the “manifold correspondence principle,” and the “logicality principle.” The fourth part discusses Sher’s new philosophy of logic, whose key idea is that logic is grounded both in the world and in humans’ mind. -
1 Introduction: Frege's Life and Work
1 Introduction: Frege’s Life and Work Biography Friedrich Ludwig Gottlob Frege was the founder of modern math- ematical logic, which he created in his first book, Conceptual Nota- tion, a Formula Language of Pure Thought Modelled upon the Formula Language of Arithmetic (Begriffsschrift, eine der arithmetischen nachge- bildete Formalsprache des reinen Denkens (1879), translated in Frege 1972). This describes a system of symbolic logic which goes far beyond the two thousand year old Aristotelian logic on which, hitherto, there had been little decisive advance. Frege was also one of the main formative influences, together with Bertrand Russell, Ludwig Wittgenstein and G. E. Moore, on the analytical school of philosophy which now dominates the English-speaking philo- sophical world. Apart from his definitive contribution to logic, his writings on the philosophy of mathematics, philosophical logic and the theory of meaning are such that no philosopher working in any of these areas today could hope to make a contribution without a thorough familiarity with Frege’s philosophy. Yet in his lifetime the significance of Frege’s work was little acknowledged. Even his work on logic met with general incomprehension and his work in philosophy was mostly unread and unappreciated. He was, however, studied by Edmund Husserl, Bertrand Russell, Ludwig Wittgenstein and Rudolf Carnap and via these great figures he has eventually achieved general recognition. Frege’s life was not a personally fulfilled one (for more detailed accounts of the following see Bynum’s introduction to Frege 1972 2 Introduction: Frege’s Life and Work and Beaney’s introduction to Frege 1997). -
Film As Philosophy in Memento: Reforming Wartenberg's Imposition
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Project Abstract the Summer Program for Diversity in Logic for Undergraduates Builds Upon the PIKSI Summer Program Model, Focusi
Project Abstract The Summer Program for Diversity in Logic for Undergraduates builds upon the PIKSI Summer Program Model, focusing on Logic, an area in philosophy needing to increase diversity. We request seed funding for the pilot run of the program in May of 2016, when we will offer 12 students the opportunity to explore an exciting research theme in Logic –Paradoxes—receive small-group tutoring in formal techniques, receive mentoring and support for professionalization, experience validation, understanding and advice regarding diversity issues they have encountered –sexism, racism, ableism (and which the students may worry about encountering them in the profession), and develop a sense of community with students and faculty with whom they can identify and, in turn, come to strengthen their own identities. Project Purpose Our goal is to empower students to conceive of themselves as aspiring logicians, philosophers of logic and formal philosophers who belong in our profession. As Audrey Yap has noted, a majority of philosophy majors encounter some logic as a part of their undergraduate curriculum. Increasing diversity in logic is not simply a problem of exposure, but concretely addressing underlying pressures women and minority students experience, particularly stereotype threat and pernicious ideas about “natural aptitude.” (1) These pressures are especially strong in the subfield of logic, where almost no women and minorities have contributed to the research literature until very recently, and women and minorities remain underrepresented to a higher degree than in philosophy more broadly. Women and minorities learning logic can be vulnerable to feeling that a field like logic, that tends to be male and white dominated on the whole, is not welcoming to them.