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Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 9401593094
Category : Philosophy
Languages : en
Pages : 337
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Book Description
The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 9401593094
Category : Philosophy
Languages : en
Pages : 337
Get Book Here
Book Description
The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?". The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility.
Author: Heinrich Wansing
Publisher: Walter de Gruyter
ISBN: 3110876809
Category : Philosophy
Languages : en
Pages : 281
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Book Description
Negation: A Notion in Focus (Perspectives in Analytical Philosophy, Bd 7).
Author: Hedde Zeijlstra
Publisher: Oxford University Press
ISBN: 0192569678
Category : Language Arts & Disciplines
Languages : en
Pages : 497
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Book Description
This book presents a novel overarching account of negation and negative dependencies, based on novel data from language variation, language acquisition, and language change. Negation is a universal property of natural language, but languages can significantly differ in how they express it: there is variation in the form and position of negative elements, the number of manifestations of negative morphemes, and in the restrictions on the use of Negative and Positive Polarity Items. In this volume, Hedde Zeijlstra explores the hypothesis that all known syntactic, semantic, pragmatic, and lexical ways of encoding dependencies should be also be attested in the domain of negation, unless they are independently ruled out. He shows that the pluriform landscape of negative dependencies and markers of negation that emerges has broader implications for theories of syntax and semantics and their interface.
Author: Sergei Odintsov
Publisher: Springer Science & Business Media
ISBN: 1402068670
Category : Philosophy
Languages : en
Pages : 241
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Book Description
Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.
Author: Laurence R. Horn
Publisher: Oxford University Press
ISBN: 0198238746
Category : Language Arts & Disciplines
Languages : en
Pages : 286
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Book Description
Negation is a central feature of language and cognition, interacting with all areas of grammar as well as with the philosophy of language. Whereas there is a cross-linguistic uniformity in logical and semantic aspects of negation, there is a diversity of syntactic and morphological forms andrules. This asymmetry in function and form poses problems for syntactic and universal grammar theory and for the study of the interface between syntax and discourse. It is particularly evident in negative polarity-words and phrases which can appear only in negative sentences. The exploration ofnegation and negative polarity phenomena and their implications for linguistic theory are the main themes of this book.
Author: Viviane Déprez
Publisher: Oxford University Press
ISBN: 019256627X
Category : Language Arts & Disciplines
Languages : en
Pages : 955
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Book Description
In this volume, international experts in negation provide a comprehensive overview of cross-linguistic and philosophical research in the field, as well as accounts of more recent results from experimental linguistics, psycholinguistics, and neuroscience. The volume adopts an interdisciplinary approach to a range of fundamental questions ranging from why negation displays so many distinct linguistic forms to how prosody and gesture participate in the interpretation of negative utterances. Following an introduction from the editors, the chapters are arranged in eight parts that explore, respectively, the fundamentals of negation; issues in syntax; the syntax-semantics interface; semantics and pragmatics; negative dependencies; synchronic and diachronic variation; the emergence and acquisition of negation; and experimental investigations of negation. The volume will be an essential reference for students and researchers across a wide range of disciplines, and will facilitate further interdisciplinary work in the field.
Author: Henriëtte de Swart
Publisher: Springer Science & Business Media
ISBN: 9048131634
Category : Language Arts & Disciplines
Languages : en
Pages : 290
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Book Description
This study in cross-linguistic semantics deploys the framework of bi-directional Optimality Theory to develop a typology of the relationship between syntax and semantics in negation markers and negation indefinites.
Author: Daniel Jugrin
Publisher: Scholars' Press
ISBN: 6202302046
Category : Religion
Languages : en
Pages : 322
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Book Description
It is not soul, not intellect, not imagination, opinion, reason and not understanding, not logos, not intellection, not spoken, not thought, not number, not order, not greatness, not smallness, not equality, not inequality, not likeness, not unlikeness, not having stood, not moved, not at rest, not powerful, not intepowerful, not light, not living, not life, not eternity, not time, not intellectual contact with it, not knowledge, not truth, not kingship, not wisdom, not one, not unity, not divinity, not goodness, not spirit , not sonhood, not fatherhood, ..., not something among what is not, not something among what is, not known as it is by beings, not a knower of beings as they are. There is neither logos, name, or knowledge of it. It is neither dark nor light, not error, and not truth. There is universally neither postulation nor abstraction of it. While there are produced postulations and abstractions of those after it, we neither postulate nor abstract it. Since beyond all postulation is the all-complete and single Cause of all; beyond all abstraction: the preeminence of that absolutely free of all and beyond the whole. (Dionysius the Areopagite, De mystica theologia V).
Author: Brian Cosgrove
Publisher:
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 280
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Book Description
The main purpose of this book is to validate a reading of Joyce in negative terms. Central to the enquiry is an examination of the roles of irony and of indeterminacy. Irony, interpreted in metaphysical rather than merely rhetorical terms, is envisaged as deriving from two separate if related orientations, one associated with Friedrich Schlegel, the other with Gustave Flaubert. Insofar as Joyce's work (including "Ulysses") owes more to the latter than the former, it forgoes the genial humour central to Schlegel's theories, and embraces instead the ironic detachment and formal control of a Flaubertian perspective. Such irony (which entails a suspicion of sentiment and a related dehumanisation of character, as in some of the stories in Dubliners) becomes normative in Joyce, and along with a similarly deflationary parody pervades "Ulysses". In addition, a persistent indeterminacy is established as early as 'The Dead', so that it becomes impossible in that story to adjudicate between not just contradictory but mutually exclusive interpretations. Such indeterminacy is pushed to further extremes in "Ulysses", with its notorious proliferation of narrative perspectives.As a corollary to the work's encyclopaedic inclusiveness and quotidian particularism, every detail tends to assume the same significance as every other; the consequence being that (in Gyorgy Lukacs' famous formulation) we lose all sense of any 'hierarchy of meaning'. From that it is but a step to Franco Moretti's assessment that in "Ulysses" everyday existence remains 'inert, opaque - meaningless', and that in fact the whole point is to represent the meaningless precisely 'as meaningless'. Indeterminacy, in effect, ushers in the possibility of nihilism. The analysis of "Ulysses" culminates with the attempt (unavailing in both cases) to discover in either Bloom or Molly a genuine source of countervailing affirmation. The study concludes with a brief consideration of the polysemic vocabulary of "Finnegans Wake" as a logical extrapolation of the poetics of indeterminacy.
Author: Malin Roitman
Publisher: John Benjamins Publishing Company
ISBN: 9027264945
Category : Language Arts & Disciplines
Languages : en
Pages : 282
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Book Description
Negation is one of the most discussed phenomena within linguistics, on all language levels though it never seems to be exhausted. This operator establishes complex sentence structures and constantly challenges – from a cognitive, syntactical, semantic and morphologic viewpoint – presuppositions on language internal relations as rational and logic. It therefore arouses interest through all fields within language sciences. From a pragmatic perspective, where negation is conceived a marked structure, using negation often produces meanings beyond the one of a reversed affirmation "it is not the case that X”. This book explores the various uses and pragmatic meanings of negation in authentic communication, in different text types and in different languages, predominately romance languages. The multilingual composition marries a macro-micro perspective where aspects of genre, sociocultural context, memory, rhetoric and argumentation interplay with the negative morpheme’s nature and embedded instructions. This broad approach makes this book a unique contribution to negation studies and to pragmatics in general. The book is important and enriching reading for scholars in all linguistic domains, but particularly for researchers in semantics, pragmatics, argumentation and, discourse analysis.
