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Vagueness and Degrees of Truth

Vagueness and Degrees of Truth PDF Author: Nicholas J. J. Smith
Publisher: OUP Oxford
ISBN: 0191607924
Category : Philosophy
Languages : en
Pages : 350

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.

Vagueness and Degrees of Truth

Vagueness and Degrees of Truth PDF Author: Nicholas J. J. Smith
Publisher: OUP Oxford
ISBN: 0191607924
Category : Philosophy
Languages : en
Pages : 350

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.

Vagueness and Degrees of Truth

Vagueness and Degrees of Truth PDF Author: Nicholas Jeremy Josef Smith
Publisher:
ISBN: 9780191716430
Category : Truth
Languages : en
Pages : 341

Book Description
This text develops and defends a new position on vagueness. To make the book accessible to non-specialists, Nicholas Smith includes both an introduction to the relevant philosophical literature, and a gentle but thorough introduction to the required logical tools and concepts.

Truth, Vagueness, and Paradox

Truth, Vagueness, and Paradox PDF Author: Vann McGee
Publisher: Hackett Publishing
ISBN: 9780872200876
Category : Philosophy
Languages : en
Pages : 258

Book Description
Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.

Theories of Vagueness

Theories of Vagueness PDF Author: Rosanna Keefe
Publisher: Cambridge University Press
ISBN: 0521650674
Category : Language Arts & Disciplines
Languages : en
Pages : 249

Book Description
A powerful comparative study of the main theories of vagueness, first published in 2000.

Vagueness

Vagueness PDF Author: Timothy Williamson
Publisher: Routledge
ISBN: 1134770189
Category : Philosophy
Languages : en
Pages : 340

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.

Logic

Logic PDF Author: Nicholas J.J. Smith
Publisher: Princeton University Press
ISBN: 0691151636
Category : Philosophy
Languages : en
Pages : 544

Book Description
Provides an essential introduction to classical logic.

Cuts and Clouds

Cuts and Clouds PDF Author: Richard Dietz
Publisher: Oxford University Press
ISBN: 0199570388
Category : Philosophy
Languages : en
Pages : 599

Book Description
Vagueness is a deeply puzzling aspect of the relation between language and the world. Is it a feature of the way we represent reality in language, or a feature of reality itself? How can we reason with vague concepts? Cuts and Clouds presents the latest work towards an understanding of these puzzles about the nature and logic of vagueness.

Vagueness

Vagueness PDF Author: Kit Fine
Publisher: Oxford University Press, USA
ISBN: 0197514952
Category : Philosophy
Languages : en
Pages : 121

Book Description
"The book is about the problem of vagueness. It begins by discussing some of the existing views on vagueness and then explains why they have not been thought to be satisfactory. It then outlines a new account of vagueness, based upon the general idea that vagueness is a global rather than a local phenomenon.. In other words, the vagueness of an expression or object is not an intrinsic feature of the object or an expression but a matter of how it relates to other objects and expression. The development of this idea leads to a new semantics and logic for vagueness. The semantics and logic are then applied to a number of issues, including the sorites paradox, the transparency of mental states, and personal identity. It is shown that the view allows one to hew to a much more intuitive position on these various issues"--

Vagueness

Vagueness PDF Author: Delia Graff
Publisher: Routledge
ISBN: 1351876198
Category : Philosophy
Languages : en
Pages : 473

Book Description
Vagueness, volume XX, contains twenty-seven essays, with issues covered including: nihilism, phenomenal sorites, degrees of truth, epistemicism, higher-order vagueness, contextualism, and intuitionism. Written by leading contemporary philosophers, these essays will be of interest to researchers in philosophy of language, philosophical logic, metaphysics and epistemology; as well as those in natural language semantics, artificial intelligence and cognitive science more generally. A substantial introduction written by the editors provides a guide to the topic and to the essays in the volume.

Vagueness

Vagueness PDF 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.