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Author: Timothy Williamson Publisher: Routledge ISBN: 1134770170 Category : Philosophy Languages : en Pages : 344
Book Description
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: Timothy Williamson Publisher: Routledge ISBN: 1134770170 Category : Philosophy Languages : en Pages : 344
Book Description
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: Kit Fine Publisher: Rutgers Lectures in Philosophy ISBN: 0197514952 Category : Mathematics Languages : en Pages : 121
Book Description
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: Diana Raffman Publisher: Oxford University Press, USA ISBN: 0199915105 Category : Language Arts & Disciplines Languages : en Pages : 241
Book Description
In Unruly Words, Diana Raffman advances a new theory of vagueness which, unlike previous accounts, is genuinely semantic while preserving bivalence. According to this new approach, called the multiple range theory, vagueness consists essentially in a term's being applicable in multiple arbitrarily different, but equally competent, ways, even when contextual factors are fixed.
Author: Rosanna Keefe Publisher: MIT Press ISBN: 0262112256 Category : Language Arts & Disciplines Languages : en Pages : 363
Book Description
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: Andrew Bacon Publisher: Oxford University Press ISBN: 0198712065 Category : Philosophy Languages : en Pages : 361
Book Description
"Vagueness is the study of concepts that admit borderline cases. The epistemology of vagueness concerns attitudes we should have towards propositions we know to be borderline. On this basis Andrew Bacon develops a new theory of vagueness in which vagueness is fundamentally a property of propositions, explicated in terms of its role in thought."--
Author: Giuseppina Ronzitti Publisher: Springer Science & Business Media ISBN: 9400703759 Category : Philosophy Languages : en Pages : 207
Book Description
This volume explores how vagueness matters as a specific problem in the context of theories that are primarily about something else. After an introductory chapter on the Sorites paradox, which exposes the various forms the paradox can take and some of the responses that have been pursued, the book proceeds with a chapter on vagueness and metaphysics, which covers important questions concerning vagueness that arise in connection with the deployment of certain key metaphysical notions. Subsequent chapters address the following: vagueness and logic, which discusses the sort of model theory that is suggested by the main, rival accounts of vagueness; vagueness and meaning, which focuses on contextualist, epistemicist, and indeterminist theories; vagueness and observationality; vagueness within linguistics, which focuses on approaches that take comparison classes into account; and the idea that vagueness in law is typically extravagant and that extravagant vagueness is a necessary feature of legal systems.
Author: Nicholas J. J. Smith Publisher: OUP Oxford ISBN: 0191552712 Category : Philosophy Languages : en Pages : 351
Book Description
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: Stewart Shapiro Publisher: Oxford University Press on Demand ISBN: 0199280398 Category : Language Arts & Disciplines Languages : en Pages : 241
Book Description
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: Giuseppina Scotto di Carlo Publisher: Cambridge Scholars Publishing ISBN: 1443848891 Category : Language Arts & Disciplines Languages : en Pages : 310
Book Description
Did Security Council resolutions authorise the use of force during the Second Gulf War? Did the UN intentionally use vague and indeterminate linguistic patterns as a set of discursive strategies with the overall legislative intent of using deliberate vagueness as a political strategy? Over the last few years, UN resolutions have been repeatedly questioned for the excessive presence of vagueness. In order to overcome the cultural divergences of recipient countries, UN diplomatic texts use vague words quite extensively, which could lead to biased or even strategically-motivated interpretations of resolutions, undermining their legal impact. This book proposes a linguistic analysis of whether the use of strategic vagueness in Security Council resolutions has contributed to the breakout of the Second Gulf War instead of a diplomatic solution to the controversy. The hypothesis is discussed through an analysis of the UN resolutions relating to the war, and reinforced through an analysis of US legislation related to the authorization for war, revealing how the US has interpreted UN legislation, in order to see how vague expressions used in UN resolutions have allowed the US to interpret them as a means to go to war. A second section of the work attempts to understand whether the same patterns have been used in resolutions relating to the Iranian nuclear crisis in 2010, revealing a relationship between the choice of vague linguistic features and the use of intentional vagueness as a political strategy.
Author: Roy A. Sorensen Publisher: Oxford University Press ISBN: 9780199271160 Category : Philosophy Languages : en Pages : 200
Book Description
Did Buddha become a fat man in one second? Is there a tallest short giraffe? Epistemicists answer 'Yes!' They believe that any predicate that divides things divides them sharply. They solve the ancient sorites paradox by picturing vagueness as a kind of ignorance. The alternative solutions are radical. They either reject classical theorems or inference rules or reject our common sense view of what can exist. Epistemicists spare this central portion of our web of belief by challenging peripheral intuitions about the nature of language. So why is this continuation of the status quo so incredible? Why do epistemicists themselves have trouble believing their theory? In Vagueness and Contradiction Roy Sorensen traces our incredulity to linguistic norms that build upon our psychological tendencies to round off insignificant differences. These simplifying principles lead to massive inconsistency, rather like the rounding off errors of calculators with limited memory. English entitles speakers to believe each 'tolerance conditional' such as those of the form 'If n is small, then n + 1 is small.' The conjunction of these a priori beliefs entails absurd conditionals such as 'If 1 is small, then a billion is small.' Since the negation of this absurdity is an a priori truth, our a priori beliefs about small numbers are jointly inconsistent. One of the tolerance conditionals, at the threshold of smallness, must be an analytic falsehood that we are compelled to regard as a tautology. Since there are infinitely many analytic sorites arguments, Sorensen concludes that we are obliged to believe infinitely many contradictions. These contradictions are not specifically detectable. They are ineliminable, like the heat from a light bulb. Although the light bulb is not designed to produce heat, the heat is inevitably produced as a side-effect of illumination. Vagueness can be avoided by representational systems that make no concession to limits of perception, or memory,or testimony. But quick and rugged representational systems, such as natural languages, will trade 'rationality' for speed and flexibility. Roy Sorensen defends epistemicism in his own distinctive style, inventive and amusing. But he has some serious things to say about language and logic, about the way the world is and about our understanding of it.
Author: Timothy Williamson
Author: Timothy Williamson
Author: Kit Fine
Author: Diana Raffman
Author: Rosanna Keefe
Author: Andrew Bacon
Author: Giuseppina Ronzitti
Author: Nicholas J. J. Smith
Author: Stewart Shapiro
Author: Giuseppina Scotto di Carlo
Author: Roy A. Sorensen