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Author: Bradley P. Armour-Garb
Publisher: Open Court Publishing
ISBN: 9780812695540
Category : Philosophy
Languages : en
Pages : 452
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Book Description
Deflationism is a recent, but increasingly popular, theory of truth. Deflationists deny the existence of a substantive theory about truth -- an account of the property "truth" that enables all of the facts about truth to be explained. Deflationism rejects all of the existing traditional theories about truth: correspondence, coherence, and pragmatist. Students of philosophy as well as deflationary theorists will appreciate the depth of the articles as well as the exhaustive annotated bibliography in this book.
Author: Bradley P. Armour-Garb
Publisher: Open Court Publishing
ISBN: 9780812695540
Category : Philosophy
Languages : en
Pages : 452
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Book Description
Deflationism is a recent, but increasingly popular, theory of truth. Deflationists deny the existence of a substantive theory about truth -- an account of the property "truth" that enables all of the facts about truth to be explained. Deflationism rejects all of the existing traditional theories about truth: correspondence, coherence, and pragmatist. Students of philosophy as well as deflationary theorists will appreciate the depth of the articles as well as the exhaustive annotated bibliography in this book.
Author: Benjamin Alan Burgis
Publisher: Springer Nature
ISBN: 303094624X
Category : Philosophy
Languages : en
Pages : 193
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Book Description
This book offers a defense against non-classical approaches to the paradoxes. The author argues that, despite appearances, the paradoxes give no reason at all to reject classical logic. In fact, he believes classical solutions fare better than non-classical ones with respect to key tests like Curry’s Paradox, a Liar-like paradox that dialetheists are forced to solve in a way totally disjoint from their solution to the Liar. Graham Priest’s In Contradiction was the first major work that advocated the use of non-classical approaches. Since then, these views have moved into the philosophical mainstream. Much of this movement is fueled by a widespread sense that these logically heterodox solutions get to the real nub of the issue. They lack the ad hoc feel of many other solutions to the paradoxes. The author believes that it's long past time for a response to these attacks against classical orthodoxy. He presents a non-logically-revisionary solution to the paradoxes. This title offers a literal way of cashing out the disquotation metaphor. While the details of the view are novel, the idea has a pre-history in the relevant literature. The author examines objections in detail. He rejects each in turn and concludes by comparing the virtues of his logically orthodox approach with those of the paraconsistent and paracomplete competition.
Author: Volker Halbach
Publisher: Cambridge University Press
ISBN: 1107424429
Category : Philosophy
Languages : en
Pages : 361
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Book Description
A survey of the most important axiomatizations of truth, exploring their properties and how the logical results impinge on philosophical topics.
Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 008054939X
Category : Mathematics
Languages : en
Pages : 691
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Book Description
The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called "left non-monotonicity, it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called "right non-monotonicity, limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. - Detailed and comprehensive chapters covering the entire range of modal logic. - Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.
Author: Dominic Hyde
Publisher: Routledge
ISBN: 131700289X
Category : Philosophy
Languages : en
Pages : 239
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Book Description
The topic of vagueness re-emerged in the twentieth century from relative obscurity. It deals with the phenomenon in natural language that manifests itself in apparent semantic indeterminacy - the indeterminacy, for example, that arises when asked to draw the line between the tall and non-tall, or the drunk and the sober. An associated paradox emphasises the challenging nature of the phenomenon, presenting one of the most resilient paradoxes of logic. The apparent threat posed for orthodox theories of the semantics and logic of natural language has become the focus of intense philosophical scrutiny amongst philosophers and non-philosophers alike. Vagueness, Logic and Ontology explores various responses to the philosophical problems generated by vagueness and its associated paradox - the sorites paradox. Hyde argues that the theoretical space in which vagueness is sometimes ontologically grounded and modelled by a truth-functional logic affords a coherent response to the problems posed by vagueness. Showing how the concept of vagueness can be applied to the world, Hyde's ontological account proposes a substantial revision of orthodox semantics, metaphysics and logic. This book will be of particular interest to readers in philosophy, linguistics, cognitive science and geographic information systems.
Author: Anil Gupta
Publisher: MIT Press
ISBN: 9780262071444
Category : Mathematics
Languages : en
Pages : 334
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Book Description
In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its pathological features fall into a simple understandable pattern. The Revision Theory of Truth is unique in placing truth in the context of a general theory of definitions. This theory makes sense of arbitrary systems of mutually interdependent concepts, of which circular concepts, such as truth, are but a special case.
Author: Can Başkent
Publisher: Springer Nature
ISBN: 3030253651
Category : Philosophy
Languages : en
Pages : 698
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Book Description
This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes .
Author: David Duarte
Publisher: Springer Nature
ISBN: 3030186717
Category : Law
Languages : en
Pages : 253
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Book Description
This book discusses the question of whether legal interpretation is a scientific activity. The law’s dependency on language, at least for the usual communication purposes, not only makes legal interpretation the main task performed by those whose work involves the law, but also an unavoidable step in the process of resolving a legal case. This task of decoding the words and sentences used by normative authorities while enacting norms, carried out in compliance with the principles and rules of the natural language adopted, is prone to all of the difficulties stemming from the uncertainty intrinsic to all linguistic conventions. In this context, seeking to determine whether legal interpretation can be scientific or, in other words, can comply with the requirements for scientific knowledge, becomes a central question. In fact, the coherent application of the law depends on a knowledge regarding the meaning of normative sentences that can be classified (at least) as being structured, systematically organized and tendentially objective. Accordingly, this book focuses on analyzing precisely these problems; its respective contributions offer a range of revealing perspectives on both the problems and their ramifications.
Author: Ingo Glöckner
Publisher: Springer
ISBN: 3540325034
Category : Technology & Engineering
Languages : en
Pages : 467
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Book Description
From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].
Author: Jonathan Rutledge
Publisher: Taylor & Francis
ISBN: 1000963179
Category : Religion
Languages : en
Pages : 220
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Book Description
This book explores and expounds upon questions of paradox and contradiction in theology with an emphasis on recent contributions from analytic philosophical theology. It addresses questions such as: What is the place of paradox in theology? Where might different systems of logic (e.g., paraconsistent ones) find a place in theological discourse (e.g., Christology)? What are proper responses to the presence of contradiction(s) in one’s theological theories? Are appeals to analogical language enough to make sense of paradox? Bringing together an impressive line-up of theologians and philosophers, the volume offers a range of fresh perspectives on a central topic. It is valuable reading for scholars of theology and philosophy of religion.
