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Author : André Leon Jo Chapuis
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.3/5 ( download)
Download or read book Circularity, Truth, and the Liar Paradox written by André Leon Jo Chapuis and published by . This book was released on 1993 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jon Barwise
Publisher : Oxford University Press
ISBN 13 : 0195059441
Total Pages : 207 pages
Book Rating : 4.1/5 (95 download)
Download or read book The Liar written by Jon Barwise and published by Oxford University Press. This book was released on 1987 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Barwise and Etchemendy model and compare Russellian and Austinian conceptions of propositions, and develop a range of model-theoretic techniques--based on Aczel's work--that open up new avenues in logical and formal semantics.
Author : Roy T Cook
Publisher : OUP Oxford
ISBN 13 : 0191648388
Total Pages : 205 pages
Book Rating : 4.1/5 (916 download)
Download or read book The Yablo Paradox written by Roy T Cook and published by OUP Oxford. This book was released on 2014-05-29 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roy T Cook examines the Yablo paradox—a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence—with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity. The three main chapters of the book focus, respectively, on three questions that can be (and have been) asked about the Yablo construction. First we have the Characterization Problem, which asks what patterns of sentential reference (circular or not) generate semantic paradoxes. Addressing this problem requires an interesting and fruitful detour through the theory of directed graphs, allowing us to draw interesting connections between philosophical problems and purely mathematical ones. Next is the Circularity Question, which addresses whether or not the Yablo paradox is genuinely non-circular. Answering this question is complicated: although the original formulation of the Yablo paradox is circular, it turns out that it is not circular in any sense that can bear the blame for the paradox. Further, formulations of the paradox using infinitary conjunction provide genuinely non-circular constructions. Finally, Cook turns his attention to the Generalizability Question: can the Yabloesque pattern be used to generate genuinely non-circular variants of other paradoxes, such as epistemic and set-theoretic paradoxes? Cook argues that although there are general constructions-unwindings—that transform circular constructions into Yablo-like sequences, it turns out that these sorts of constructions are not 'well-behaved' when transferred from semantic puzzles to puzzles of other sorts. He concludes with a short discussion of the connections between the Yablo paradox and the Curry paradox.
Author : Hartry Field
Publisher : OUP Oxford
ISBN 13 : 0191528161
Total Pages : 432 pages
Book Rating : 4.1/5 (915 download)
Download or read book Saving Truth From Paradox written by Hartry Field and published by OUP Oxford. This book was released on 2008-03-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.
Author : Ron Aharoni
Publisher : World Scientific
ISBN 13 : 9814723703
Total Pages : 180 pages
Book Rating : 4.8/5 (147 download)
Download or read book Circularity: A Common Secret To Paradoxes, Scientific Revolutions And Humor written by Ron Aharoni and published by World Scientific. This book was released on 2016-04-21 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question 'What is humor'. The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.See Press Release: Vicious circles -- confusing, instructive, amusing?
Author : Keith Simmons
Publisher : Oxford University Press
ISBN 13 : 0198791542
Total Pages : 260 pages
Book Rating : 4.1/5 (987 download)
Download or read book Semantic Singularities written by Keith Simmons and published by Oxford University Press. This book was released on 2018 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Godel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski's intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. Simmons draws out the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.
Author : Dale Jacquette
Publisher : Routledge
ISBN 13 : 1317546547
Total Pages : 321 pages
Book Rating : 4.3/5 (175 download)
Download or read book Logic and How it Gets That Way written by Dale Jacquette and published by Routledge. This book was released on 2014-09-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
Author : André Leon Jo Chapuis
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.3/5 (91 download)
Download or read book Circularity, Definition, and Truth written by André Leon Jo Chapuis and published by . This book was released on 2000 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heather Dyke
Publisher : Routledge
ISBN 13 : 1135246912
Total Pages : 321 pages
Book Rating : 4.1/5 (352 download)
Download or read book From Truth to Reality written by Heather Dyke and published by Routledge. This book was released on 2009-06-02 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions about truth and questions about reality are intimately connected. One can ask whether numbers exist by asking "Are there numbers?" But one can also ask what arguably amounts to the same question by asking "Is the sentence 'There are numbers' true?" Such semantic ascent implies that reality can be investigated by investigating our true sentences. This line of thought was dominant in twentieth century philosophy, but is now beginning to be called into question. In From Truth to Reality, Heather Dyke brings together some of the foremost metaphysicians to examine approaches to truth, reality, and the connections between the two. This collection features new and previously unpublished material by JC Beall, Mark Colyvan, Michael Devitt, John Heil, Frank Jackson, Fred Kroon, D. H. Mellor, Luca Moretti, Alan Musgrave, Robert Nola, J. J. C. Smart, Paul Snowdon, and Daniel Stoljar.
Author : Aladdin Mahmūd Yaqūb
Publisher : Oxford University Press, USA
ISBN 13 : 0195083431
Total Pages : 164 pages
Book Rating : 4.1/5 (95 download)
Download or read book The Liar Speaks the Truth written by Aladdin Mahmūd Yaqūb and published by Oxford University Press, USA. This book was released on 1993 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Aladdin M. Yaqub describes a simple conception of truth and shows that it yields a semantical theory that accommodates the whole range of our seemingly conflicting intuitions about truth. Yaqub's conception takes the Tarskian biconditionals (such as "The sentence 'Johannes loved Clara' is true if and only if Johannes loved Clara") as correctly and completely defining the notion of truth. The semantical theory, which is called the revision theory, that emerges from this conception paints a metaphysical picture of truth as a property whose applicability is given by a revision process rather than by a fixed extension. The main advantage of this revision process is its ability to explain why truth seems in many cases almost redundant, in others substantial, and yet in others paradoxical (as in the famous Liar). Yaqub offers a comprehensive defense of the revision theory of truth by developing consistent and adequate formal semantics for languages in which all sorts of problematic sentences (Liar and company) can be constructed. He also gives a detailed critical exposition of the proposals of Herzberger, Gupta, and Belnap. Yaqub concludes by introducing a logic of truth that further demonstrates the adequacy of the revision theory. The Liar Speaks the Truth starts with a basic and intuitive understanding of the notion of truth and ends with a complex logic of truth. The book will interest students of logic, truth theory, formal semantics, and philosophy of language.
Author : Marcel Danesi
Publisher : Turner Publishing Company
ISBN 13 : 1118045815
Total Pages : 255 pages
Book Rating : 4.1/5 (18 download)
Download or read book The Liar Paradox and the Towers of Hanoi written by Marcel Danesi and published by Turner Publishing Company. This book was released on 2011-01-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ
Author : P. Weingartner
Publisher : Springer Science & Business Media
ISBN 13 : 9401140340
Total Pages : 239 pages
Book Rating : 4.4/5 (11 download)
Download or read book Basic Questions on Truth written by P. Weingartner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The task of the book is not to give a survey of the main theories on truth found in the literature. There are several books available which do this: The one of David for Deflationist (and Disquotational) Theories of Truth; that of Chapuis for Revision Theories of Truth; that of Kirkham for Correspondence Theories and several others; that ofRescher for Coherence Theories of Truth. Moreover the book is not an analy sis just of Tar ski's theory, like that of Moreno or the respective chapters in Kirkham, though Tarski's theory plays an important role in the whole work presented. The task of the book is to give a detailed answer to some basic questions on truth which have been perennial problems through the centuries and are still discussed today. The answer is given in the light of our knowledge today and with the help of modem logic. But the book explicitly aims at connecting recent problems with re lated ones in the whole history of philosophy. The method to incorporate important philosophers of the tradition into the analysis is that of disputation, i. e. of putting some of their main thesis into objections or counterobjections pro or contra a posi tive answer to the respective question. After the pros and cons are given a detailed answer to the question is proposed and finally commentaries and corrections are given to the objections and counterobjections in the light of the proposed answer.
Author : Anil Gupta
Publisher : MIT Press
ISBN 13 : 9780262071444
Total Pages : 334 pages
Book Rating : 4.0/5 (714 download)
Download or read book The Revision Theory of Truth written by Anil Gupta and published by MIT Press. This book was released on 1993 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its pathological features fall into a simple understandable pattern. The Revision Theory of Truth is unique in placing truth in the context of a general theory of definitions. This theory makes sense of arbitrary systems of mutually interdependent concepts, of which circular concepts, such as truth, are but a special case.
Author : Piotr Łukowski
Publisher : Springer Science & Business Media
ISBN 13 : 9400714769
Total Pages : 198 pages
Book Rating : 4.4/5 (7 download)
Download or read book Paradoxes written by Piotr Łukowski and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, provides a critical approach to all major logical paradoxes: from ancient to contemporary ones. There are four key aims of the book: 1. Providing systematic and historical survey of different approaches – solutions of the most prominent paradoxes discussed in the logical and philosophical literature. 2. Introducing original solutions of major paradoxes like: Liar paradox, Protagoras paradox, an unexpected examination paradox, stone paradox, crocodile, Newcomb paradox. 3. Explaining the far-reaching significance of paradoxes of vagueness and change for philosophy and ontology. 4. Proposing a novel, well justified and, as it seems, natural classification of paradoxes.
Author : Cyril Orji
Publisher : Taylor & Francis
ISBN 13 : 1000640388
Total Pages : 208 pages
Book Rating : 4.0/5 (6 download)
Download or read book Exploring Theological Paradoxes written by Cyril Orji and published by Taylor & Francis. This book was released on 2022-08-31 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the question of theological paradox, exploring what it means and its place in theological method from a Christian perspective. Just as paradoxes are unavoidable in logic and mathematics, paradoxes are inevitable in religious and theological discourses. The chapters in this volume examine a number of cases, including the ‘Red Heifer paradox’, the ‘liar paradox’, and the ‘paradox of omnipotence’, and attention is given to Christian doctrines such as the Trinity and the Incarnation. Arguing for a renewed understanding and appreciation of the role of paradox, this study will be of interest to scholars of theology and the philosophy of religion.
Author : Scott Soames
Publisher :
ISBN 13 : 9780195123357
Total Pages : 288 pages
Book Rating : 4.1/5 (233 download)
Download or read book Understanding Truth written by Scott Soames and published by . This book was released on 1999 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of this text explores the notion of truth and its role in our ordinary thought, as well as in logical philosophical and scientific theories.
Author : Makoto Kanazawa
Publisher : Springer
ISBN 13 : 3642232116
Total Pages : 234 pages
Book Rating : 4.6/5 (422 download)
Download or read book The Mathematics of Language written by Makoto Kanazawa and published by Springer. This book was released on 2011-10-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th Biennial Meeting on Mathematics in Language, MOL 12, held in Nara, Japan, in September 2011. Presented in this volume are 12 carefully selected papers, as well as the paper of the invited speaker Andreas Maletti. The papers cover such diverse topics as formal languages (string and tree transducers, grammar-independent syntactic structures, probabilistic and weighted context-free grammars, formalization of minimalist syntax), parsing and unification, lexical and compositional semantics, statistical language models, and theories of truth.
