Aspects of Vagueness

Aspects of Vagueness
Author: Heinz J. Skala
Publisher: Springer Science & Business Media
Total Pages: 306
Release: 2012-12-06
Genre: Social Science
ISBN: 9400963092

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.

Semantics - Lexical Structures and Adjectives

Semantics - Lexical Structures and Adjectives
Author: Claudia Maienborn
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 578
Release: 2019-02-19
Genre: Language Arts & Disciplines
ISBN: 311062639X

Discover vital research on the lexical and cognitive meanings of words. In this exciting book from a team of world-class researchers, in-depth articles explain a wide range of topics, including thematic roles, sense relation, ambiguity and comparison. The authors focus on the cognitive and conceptual structure of words and their meaning extensions such as coercion, metaphors and metonymies. The book features highly cited material – available in paperback for the first time since its publication – and is an essential starting point for anyone interested in lexical semantics, especially where it meets other cognitive and conceptual research.

Vagueness in Normative Texts

Vagueness in Normative Texts
Author: Vijay K. Bhatia
Publisher: Peter Lang
Total Pages: 484
Release: 2005
Genre: Foreign Language Study
ISBN: 9783039106530

Normative texts are meant to be highly impersonal and decontextualised, yet at the same time they also deal with a range of human behaviour that is difficult to predict, which means they have to have a very high degree of determinacy on the one hand, and all-inclusiveness on the other. This poses a dilemma for the writer and interpreter of normative texts. The author of such texts must be determinate and vague at the same time, depending upon to what extent he or she can predict every conceivable contingency that may arise in the application of what he or she writes. The papers in this volume discuss important legal and linguistic aspects relating to the use of vagueness in legal drafting and demonstrate why such aspects are critical to our understanding of the way normative texts function.

Uncertainty and Vagueness in Knowledge Based Systems

Uncertainty and Vagueness in Knowledge Based Systems
Author: Rudolf Kruse
Publisher: Springer Science & Business Media
Total Pages: 495
Release: 2012-12-06
Genre: Computers
ISBN: 3642767028

The primary aim of this monograph is to provide a formal framework for the representation and management of uncertainty and vagueness in the field of artificial intelligence. It puts particular emphasis on a thorough analysis of these phenomena and on the development of sound mathematical modeling approaches. Beyond this theoretical basis the scope of the book includes also implementational aspects and a valuation of existing models and systems. The fundamental ambition of this book is to show that vagueness and un certainty can be handled adequately by using measure-theoretic methods. The presentation of applicable knowledge representation formalisms and reasoning algorithms substantiates the claim that efficiency requirements do not necessar ily require renunciation of an uncompromising mathematical modeling. These results are used to evaluate systems based on probabilistic methods as well as on non-standard concepts such as certainty factors, fuzzy sets or belief functions. The book is intended to be self-contained and addresses researchers and practioneers in the field of knowledge based systems. It is in particular suit able as a textbook for graduate-level students in AI, operations research and applied probability. A solid mathematical background is necessary for reading this book. Essential parts of the material have been the subject of courses given by the first author for students of computer science and mathematics held since 1984 at the University in Braunschweig.

Vagueness and Law

Vagueness and Law
Author: Geert Keil
Publisher: Oxford University Press
Total Pages: 353
Release: 2016
Genre: Law
ISBN: 0198782888

Vague expressions are omnipresent in natural language. As such, their use in legal texts is virtually inevitable. If a law contains vague terms, the question whether it applies to a particular case often lacks a clear answer. One of the fundamental pillars of the rule of law is legal certainty. The determinacy of the law enables people to use it as a guide and places judges in the position to decide impartially. Vagueness poses a threat to these ideals. In borderline cases, the law seems to be indeterminate and thus incapable of serving its core rule of law value. In the philosophy of language, vagueness has become one of the hottest topics of the last two decades. Linguists and philosophers have investigated what distinguishes "soritical" vagueness from other kinds of linguistic indeterminacy, such as ambiguity, generality, open texture, and family resemblance concepts. There is a vast literature that discusses the logical, semantic, pragmatic, and epistemic aspects of these phenomena. Legal theory has hitherto paid little attention to the differences between the various kinds of linguistic indeterminacy that are grouped under the heading of "vagueness", let alone to the various theories that try to account for these phenomena. Bringing together leading scholars working on the topic of vagueness in philosophy and in law, this book fosters a dialogue between philosophers and legal scholars by examining how philosophers conceive vagueness in law from their theoretical perspective and how legal theorists make use of philosophical theories of vagueness. The chapters of the book are organized into three parts. The first part addresses the import of different theories of vagueness for the law, referring to a wide range of theories from supervaluationist to contextualist and semantic realist accounts in order to address the question of whether the law can learn from engaging with philosophical discussions of vagueness. The second part of the book examines different vagueness phenomena. The contributions in part 2 suggest that the greater awareness to different vagueness phenomena can make lawyers aware of specific issues and solutions so far overlooked. The third part deals with the pragmatic aspects of vagueness in law, providing answers to the question of how to deal with vagueness in law and with the professional, political, moral, and ethical issues such vagueness gives rise to.

Vagueness in Psychiatry

Vagueness in Psychiatry
Author: Geert Keil
Publisher: Oxford University Press
Total Pages: 277
Release: 2017
Genre: Medical
ISBN: 0198722370

Blurred boundaries between the normal and the pathological are a recurrent theme in almost every publication concerned with the classification of mental disorders. Yet, systematic approaches that take into account discussions about vagueness are rare. This volume is the first in the psychiatry/philosophy literature to tackle this problem.

Vague Language

Vague Language
Author: Joanna Channell
Publisher: Oxford University Press, USA
Total Pages: 252
Release: 1994
Genre: Language Arts & Disciplines
ISBN:

This is a major descriptive study of linguistic vagueness. It argues that strategies for being vague constitute a key aspect of the communicative competence of the native speaker of English.

Vagueness and Degrees of Truth

Vagueness and Degrees of Truth
Author: Nicholas J. J. Smith
Publisher: OUP Oxford
Total Pages: 351
Release: 2008-11-06
Genre: Philosophy
ISBN: 0191552712

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.

Vagueness

Vagueness
Author: Timothy Williamson
Publisher: Routledge
Total Pages: 340
Release: 2002-01-04
Genre: Philosophy
ISBN: 1134770189

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.

The Nature and Value of Vagueness in the Law

The Nature and Value of Vagueness in the Law
Author: Hrafn Asgeirsson
Publisher: Bloomsbury Publishing
Total Pages: 215
Release: 2020-04-10
Genre: Law
ISBN: 1509904441

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.