Truth, Vagueness, and Paradox
Title | Truth, Vagueness, and Paradox PDF eBook |
Author | Vann McGee |
Publisher | Hackett Publishing |
Pages | 258 |
Release | 1990-01-01 |
Genre | Philosophy |
ISBN | 9780872200876 |
Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.
Saving Truth From Paradox
Title | Saving Truth From Paradox PDF eBook |
Author | Hartry Field |
Publisher | OUP Oxford |
Pages | 432 |
Release | 2008-03-06 |
Genre | Philosophy |
ISBN | 0191528161 |
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.
Truth, Vagueness, and Paradox
Title | Truth, Vagueness, and Paradox PDF eBook |
Author | Vann McGee |
Publisher | |
Pages | 236 |
Release | 1990 |
Genre | Liar paradox |
ISBN | 9780872200869 |
Unruly Words
Title | Unruly Words PDF eBook |
Author | Diana Raffman |
Publisher | Oxford University Press, USA |
Pages | 241 |
Release | 2014-02 |
Genre | Language Arts & Disciplines |
ISBN | 0199915105 |
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.
Vagueness and Degrees of Truth
Title | Vagueness and Degrees of Truth PDF eBook |
Author | Nicholas J. J. Smith |
Publisher | OUP Oxford |
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
Title | Vagueness PDF eBook |
Author | Kit Fine |
Publisher | Rutgers Lectures in Philosophy |
Pages | 121 |
Release | 2020 |
Genre | Mathematics |
ISBN | 0197514952 |
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.
Spandrels of Truth
Title | Spandrels of Truth PDF eBook |
Author | Jc Beall |
Publisher | OUP Oxford |
Pages | 169 |
Release | 2011-04-07 |
Genre | Philosophy |
ISBN | 0191613738 |
Among the various conceptions of truth is one according to which 'is true' is a transparent, entirely see-through device introduced for only practical (expressive) reasons. This device, when introduced into the language, brings about truth-theoretic paradoxes (particularly, the notorious Liar and Curry paradoxes). The options for dealing with the paradoxes while preserving the full transparency of 'true' are limited. In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.