Vagueness

Author : Timothy Williamson
Publisher : Routledge
ISBN 13 : 1134770189
Total Pages : 340 pages
Book Rating : 4.82/5 ( download)

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Download or read book Vagueness written by Timothy Williamson and published by Routledge. This book was released on 2002-01-04 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you keep removing single grains of sand from a heap, when is it no longer a heap? From discussions of the heap paradox in classical Greece, to modern formal approaches like fuzzy logic, Timothy Williamson traces the history of the problem of vagueness. He argues that standard logic and formal semantics apply even to vague languages and defends the controversial, realist view that vagueness is a form of ignorance - there really is a grain of sand whose removal turns a heap into a non-heap, but we can never know exactly which one it is.

Author : Rosanna Kenney
Publisher : MIT Press
ISBN 13 : 0262112256
Total Pages : 363 pages
Book Rating : 4.53/5 ( download)

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Download or read book Vagueness written by Rosanna Kenney and published by MIT Press. This book was released on 1996 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vagueness is currently the subject of vigorous debate in the philosophy of logic and language. Vague terms-such as "tall", "red", "bald", and "tadpole" -- have borderline cases (arguably, someone may be neither tall nor not tall); and they lack well-defined extensions (there is no sharp boundary between tall people and the rest). The phenomenon of vagueness poses a fundamental challenge to classical logic and semantics, which assumes that propositions are either true or false and that extensions are determinate. Another striking problem to which vagueness gives rise is the sorites paradox. If you remove one grain from a heap of sand, surely you must be left with a heap. Yet apply this principle repeatedly as you remove grains one by one, and you end up, absurdly, with a solitary grain that counts as a heap. This anthology collects papers in the field. After an introduction that surveys the field, the essays form four groups, starting with some historically notable pieces. The 1970s saw an explosion of interest in vagueness, and the second group of essays reprints classic papers from this period. The following group of papers represent current work on the logic and semantics of vagueness. The essays in the final group are contributions to the continuing debate about vague objects and vague identity.

Author : Kit Fine
Publisher : Oxford University Press
ISBN 13 : 0197514979
Total Pages : 192 pages
Book Rating : 4.79/5 ( download)

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Download or read book Vagueness written by Kit Fine and published by Oxford University Press. This book was released on 2020-04-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vagueness is a subject of long-standing interest in the philosophy of language, metaphysics, and philosophical logic. Numerous accounts of vagueness have been proposed in the literature but there has been no general consensus on which, if any, should be be accepted. Kit Fine here presents a new theory of vagueness based on the radical hypothesis that vagueness is a "global" rather than a "local" phenomenon. In other words, according to Fine, the vagueness of an object or expression cannot properly be considered except in its relation to other objects or other expressions. He then applies the theory to a variety of topics in logic, metaphysics and epistemology, including the sorites paradox, the problem of personal identity, and the transparency of mental phenomenon. This is the inaugural volume in the Rutgers Lectures in Philosophy series, presenting lectures from the most important contemporary thinkers in the discipline.

Author : Sagid Salles
Publisher : Springer Nature
ISBN 13 : 3030667812
Total Pages : 206 pages
Book Rating : 4.18/5 ( download)

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Download or read book Vagueness as Arbitrariness written by Sagid Salles and published by Springer Nature. This book was released on 2021-03-12 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a new solution to the problem of vagueness. There are several different ways of addressing this problem and no clear agreement on which one is correct. The author proposes that it should be understood as the problem of explaining vague predicates in a way that systematizes six intuitions about the phenomenon and satisfies three criteria of adequacy for an ideal theory of vagueness. The third criterion, which is called the “criterion of precisification”, is the most controversial one. It is based on the intuition that a predicate is vague only if it is imprecise. The author considers some different definitions of linguistic imprecision, proposing that a predicate is imprecise if and only if there is no sharp boundary between objects to which its application yields some particular truth-value and objects to which its application does not yield that truth-value. The volume critically reviews the current theories of vagueness and proposes a new one, the Theory of Vagueness as Arbitrariness, which defines a vague predicate as an arbitrary predicate that must be precisified in order to contribute to a sentence that has truth-conditions. The main advantages of this theory over the current alternatives are that it satisfies all three criteria and systematizes the relevant intuitions.

Author : Nicholas J. J. Smith
Publisher : OUP Oxford
ISBN 13 : 0191552712
Total Pages : 351 pages
Book Rating : 4.17/5 ( download)

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Download or read book Vagueness and Degrees of Truth written by Nicholas J. J. Smith and published by OUP Oxford. This book was released on 2008-11-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Vagueness and Degrees of Truth, Nicholas Smith develops a new theory of vagueness: fuzzy plurivaluationism. A predicate is said to be vague if there is no sharply defined boundary between the things to which it applies and the things to which it does not apply. For example, 'heavy' is vague in a way that 'weighs over 20 kilograms' is not. A great many predicates - both in everyday talk, and in a wide array of theoretical vocabularies, from law to psychology to engineering - are vague. Smith argues, on the basis of a detailed account of the defining features of vagueness, that an accurate theory of vagueness must involve the idea that truth comes in degrees. The core idea of degrees of truth is that while some sentences are true and some are false, others possess intermediate truth values: they are truer than the false sentences, but not as true as the true ones. Degree-theoretic treatments of vagueness have been proposed in the past, but all have encountered significant objections. In light of these, Smith develops a new type of degree theory. Its innovations include a definition of logical consequence that allows the derivation of a classical consequence relation from the degree-theoretic semantics, a unified account of degrees of truth and subjective probabilities, and the incorporation of semantic indeterminacy - the view that vague statements need not have unique meanings - into the degree-theoretic framework. As well as being essential reading for those working on vagueness, Smith's book provides an excellent entry-point for newcomers to the era - both from elsewhere in philosophy, and from computer science, logic and engineering. It contains a thorough introduction to existing theories of vagueness and to the requisite logical background.

Author : Hrafn Asgeirsson
Publisher : Bloomsbury Publishing
ISBN 13 : 1509904441
Total Pages : 200 pages
Book Rating : 4.40/5 ( download)

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Download or read book The Nature and Value of Vagueness in the Law written by Hrafn Asgeirsson and published by Bloomsbury Publishing. This book was released on 2020-04-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lawmaking is – paradigmatically – a type of speech act: people make law by saying things. It is natural to think, therefore, that the content of the law is determined by what lawmakers communicate. However, what they communicate is sometimes vague and, even when it is clear, the content itself is sometimes vague. This monograph examines the nature and consequences of these two linguistic sources of indeterminacy in the law. The aim is to give plausible answers to three related questions: In virtue of what is the law vague? What might be good about vague law? How should courts resolve cases of vagueness? It argues that vagueness in the law is sometimes a good thing, although its value should not be overestimated. It also proposes a strategy for resolving borderline cases, arguing that textualism and intentionalism – two leading theories of legal interpretation – often complement rather than compete with each other.

Author : Heinz J. Skala
Publisher : Springer Science & Business Media
ISBN 13 : 9400963092
Total Pages : 306 pages
Book Rating : 4.92/5 ( download)

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Download or read book Aspects of Vagueness written by Heinz J. Skala and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second World Conference on Mathematics at the Service of Man was held at the Universidad Politecnica de Las Palmas, Canary Islands, Spain, June 28 to July 3, 1982. The first volume of the Proceedings of the Conference, entitled "Functional Equations-Theory and Applications" has appeared in the Reidel series "Mathematics and Its Applications". The papers in this volume consist of the invited lectures delivered at the Conference, Section 7: Non-Classical Logics and Modelling, as well as some selected papers which offer an introduction to the philosophy, methodology and to the lite rature of the broad and fascinating field of vagueness, imprecision and uncertainty. The contributed papers appeared in the volume of photo-offset preprints distributed at the Conference. It is our hope that the papers present a good sample with respect to the background, the formalism and practice of this area of research as far as we understand it today. As the subject "Vagueness" touches many aspects of human thinking, the contributions have been made from a broad spectrum ranging from philo~ophy through pure mathematics to probability theory and mathematical economics, therefore the careful reader should find some new insights here. In conclusion, the editors want to thank all authors who have contributed to this volume; the publishers of "Commenta tiones Mathematicae Universitatis Carolinae" for permission to reprint the paper "Fuzziness and Fuzzy Equality", Commentationes Mathematicae Universitatis Carolinae 23 (1982), 249-267, and D. Reidel for friendly cooperation.

Author : Geert Keil
Publisher : Oxford University Press
ISBN 13 : 0198722370
Total Pages : 277 pages
Book Rating : 4.73/5 ( download)

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Download or read book Vagueness in Psychiatry written by Geert Keil and published by Oxford University Press. This book was released on 2017 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In psychiatry there is no sharp boundary between the normal and the pathological. Although clear cases abound, it is often indeterminate whether a particular condition does or does not qualify as a mental disorder. For example, definitions of subthreshold disorders and of the prodromal stages of diseases are notoriously contentious. Philosophers and linguists call concepts that lack sharp boundaries, and thus admit of borderline cases, 'vague'. Although blurred boundaries between the normal and the pathological are a recurrent theme in many publications concerned with the classification of mental disorders, systematic approaches that take into account philosophical reflections on vagueness are rare. This book provides interdisciplinary discussions about vagueness in psychiatry by bringing together scholars from psychiatry, psychology, philosophy, history, and law. It draws together various lines of inquiry into the nature of gradations between mental health and disease and discusses the individual and societal consequences of dealing with blurred boundaries in medical practice, forensic psychiatry, and beyond. --

Author : Stewart Shapiro
Publisher : Oxford University Press on Demand
ISBN 13 : 0199280398
Total Pages : 241 pages
Book Rating : 4.91/5 ( download)

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Download or read book Vagueness in Context written by Stewart Shapiro and published by Oxford University Press on Demand. This book was released on 2006-01-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stewart Shapiro's aim in Vagueness in Context is to develop both a philosophical and a formal, model-theoretic account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary with such contextual factors as the comparison class and paradigm cases. A person can be tall with respect to male accountants and not tall (even short) with respect to professionalbasketball players. The main feature of Shapiro's account is that the extensions (and anti-extensions) of vague terms also vary in the course of a conversation, even after the external contextual features, such as the comparison class, are fixed. A central thesis is that in some cases, a competent speaker ofthe language can go either way in the borderline area of a vague predicate without sinning against the meaning of the words and the non-linguistic facts. Shapiro calls this open texture, borrowing the term from Friedrich Waismann.The formal model theory has a similar structure to the supervaluationist approach, employing the notion of a sharpening of a base interpretation. In line with the philosophical account, however, the notion of super-truth does not play a central role in the development of validity. The ultimate goal of the technical aspects of the work is to delimit a plausible notion of logical consequence, and to explore what happens with the sorites paradox.Later chapters deal with what passes for higher-order vagueness - vagueness in the notions of 'determinacy' and 'borderline' - and with vague singular terms, or objects. In each case, the philosophical picture is developed by extending and modifying the original account. This is followed with modifications to the model theory and the central meta-theorems.As Shapiro sees it, vagueness is a linguistic phenomenon, due to the kinds of languages that humans speak. But vagueness is also due to the world we find ourselves in, as we try to communicate features of it to each other. Vagueness is also due to the kinds of beings we are. There is no need to blame the phenomenon on any one of those aspects.

Author : Rick Nouwen
Publisher : Springer
ISBN 13 : 3642184464
Total Pages : 213 pages
Book Rating : 4.68/5 ( download)

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Download or read book Vagueness in Communication written by Rick Nouwen and published by Springer. This book was released on 2011-01-18 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Workshop on Vagueness in Communication, VIC 2009, held as part of ESSLLI 2009, in Bordeaux, France, July 20-24, 2009. The 11 contributions presented shed a light on new aspects in the area of vagueness in natural language communication. In contrast to the classical instruments of dealing with vagueness - like multi-valued logics, truth value gaps or gluts, or supervaluations - this volume presents new approaches like context-sensitivity of vagueness, the sharpening of vague predicates in context, and the modeling of precision levels.