What is Negation?

What is Negation?
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
Total Pages: 337
Release: 2013-06-29
Genre: Philosophy
ISBN: 9401593094

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.

Constructive Negations and Paraconsistency

Constructive Negations and Paraconsistency
Author: Sergei Odintsov
Publisher: Springer Science & Business Media
Total Pages: 241
Release: 2008-03-19
Genre: Philosophy
ISBN: 1402068670

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.

The Oxford Handbook of Negation

The Oxford Handbook of Negation
Author: Viviane Déprez
Publisher: Oxford University Press, USA
Total Pages: 889
Release: 2020-03-31
Genre: Language Arts & Disciplines
ISBN: 0198830521

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.

Negative Contexts

Negative Contexts
Author: Ton van der Wouden
Publisher: Routledge
Total Pages: 314
Release: 2002-11
Genre: Language Arts & Disciplines
ISBN: 1134773331

Ton van der Wouden's account of negative contexts emphasizes pragmatic considerations, as well as semantic and syntactic ones.

Negation

Negation
Author: Heinrich Wansing
Publisher: Perspektiven der Analytischen Philosophie / Perspectives in Analytical Philosophy
Total Pages: 288
Release: 1996
Genre: Mathematics
ISBN:

No detailed description available for "Negation".

Negation and Polarity: Experimental Perspectives

Negation and Polarity: Experimental Perspectives
Author: Pierre Larrivée
Publisher: Springer
Total Pages: 374
Release: 2015-07-28
Genre: Language Arts & Disciplines
ISBN: 3319174649

This volume offers insights on experimental and empirical research in theoretical linguistic issues of negation and polarity, focusing on how negation is marked and how negative polarity is emphatic and how it interacts with double negation. Metalinguistic negation and neg-raising are also explored in the volume. Leading specialists in the field present novel ideas by employing various experimental methods in felicity judgments, eye tracking, self-paced readings, prosody and ERP. Particular attention is given to extensive crosslinguistc data from French, Catalan and Korean along with analyses using semantic and pragmatic methods, corpus linguistics, diachronic perspectives and longitudinal acquisitional studies as well as signed and gestural negation. Each contribution is situated with regards to major previous studies, thereby offering readers insights on the current state of the art in research on negation and negative polarity, highlighting how theory and data together contributes to the understanding of cognition and mind.

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations
Author: Gemma Robles
Publisher: Academic Press
Total Pages: 160
Release: 2018-01-02
Genre: Mathematics
ISBN: 0128045094

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. Provides a clear development of the fundamentals of RM-semantics in a new application Covers the most general research on ternary relational semantics Includes scrutiny of constructive negation from the ternary relational perspective

James Joyce's Negations

James Joyce's Negations
Author: Brian Cosgrove
Publisher:
Total Pages: 280
Release: 2007
Genre: Language Arts & Disciplines
ISBN:

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.

Philosophical Analysis

Philosophical Analysis
Author: D.S. Austin
Publisher: Springer Science & Business Media
Total Pages: 362
Release: 2012-12-06
Genre: Philosophy
ISBN: 9400929099

Analytic philosophy is alive and in good health, as this collection of twenty, previously unpublished essays most ably demonstrates. The reader will find here assembled some of the finest writings of modern analytic philosophers at the top of their form. Matthews discusses Plato's attempt to deal with the problem of false belief about identities. Parson evaluates Russell's early theory of denoting phrases. Chisholm exhibits the utility of thirteen epistemic categories. Plantinga criticizes Chisholm's account of justification. Conee argues that solving the Gettier Problem is important, and Ginet proposes a solution to it. Lehrer criticizes an argument based on the simplicity of our belief in material objects and other minds. R. Feldman defends an account of having evidence. F. Feldman defends a propositional account of pleasure. Van Fraassen criticizes Garber's solution to the problem of old evidence. Castañeda investigates the nature of negation. McKay argues that de se analyses of belief do not account for belief de re. Richard argues that no Fregean semantics for belief attribution will succeed. Ryckman suggests that the Millian theory of names has little to do with the theory of belief is no threat to God's omniscience. Dunn investigates constraints imposed on non-classical modal logics by extensionality. Fitch argues that singular propositions perform important functions in modal logic. Jubien evaluates arguments for and against possible worlds. Ratzsch argues that there must be a deeper source of nomicality than ordinary subjunctives, and Stalnaker argues that there is room for determinancy of identity and indeterminacy in reference.

Thomas' Snowsuit

Thomas' Snowsuit
Author: Robert Munsch
Publisher: Annick Press
Total Pages: 250
Release: 2019-10-21
Genre: Juvenile Fiction
ISBN: 1773211439

Another laugh-out-loud book from the author of The Paper Bag Princess! Thomas thinks his new snowsuit is the ugliest thing he has ever seen in his whole entire life. When his mother, his teacher, and even his principal try to get him to put it on, his answer is, “NNNNNO.” A newly designed Classic Munsch picture book introduces this tale of sartorial stubbornness to a young generation of readers.