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Contrariety and Subcontrariety

The Anatomy of Negation (with Special Reference to an Example of J.‐Y. Béziau)

Dados Bibliográficos

ID20142272
AutoresLloyd Humberstone (0000-0003-4932-1027, Australian Regenerative Medicine Institute, autor correspondente)
Ano2005
Volume71
Fascículo3
Páginas241-262
Data de publicação2005-09-01
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoTheoria (JOURNAL)
Identificadores do periódicoISSN: 0040-5825 • E-ISSN: 1755-2567
EditoraWiley (PUBLISHER • GB)
DOI10.1111/j.1755-2567.2005.tb00886.x
OpenAlexW2144241415
IdiomaEN
Citações recebidas3
Referências citadas8

We discuss aspects of the logic of negation bearing on an issue raised by Jean‐Yves Béziau, recalled in §1. Contrary‐ and subcontrary‐forming operators are introduced in §2, which examines some of their logical behaviour, leading on naturally to a consideration in §3 of dual intuitionistic negation (as well as implication), and some further operators related to intuitionistic negation. In §4, a historical explanation is suggested as to why some of these negation‐related connectives have attracted more attention than others. The remaining sections (§§5, 6) briefly address a question about a certain notion of global contrariety and the provision of Kripke semantics for the various operators in play in our discussion

Calculus (dental) · Dual (grammatical number) · Epistemology · Intuitionistic logic · Linguistics · Negation · Negation as failure · Operational semantics · Programming language · Propositional calculus · Pure mathematics · Semantics (computer science) · Advanced Algebra and Logic · Computer Science · Logic, programming, and type systems · Logic, Reasoning, and Knowledge · Mathematics · Medicine · Philosophy

  • Béziau's Translation Paradox

    Open Access•Lloyd Humberstone•Theoria•2008

  • Logical Relations

    Open Access•Lloyd Humberstone•Philosophical Perspectives•2013

  • Negation and the functional sequence

    Open Access•Karen De Clercq, Guido Vanden Wyngaerd•Natural Language and Linguistic…•2019

  • Béziau's Translation Paradox

    Open Access•Lloyd Humberstone•Theoria•2008

Obras citantes distintas3
Citações por ano0,17
Intervalo de citações2008 - 2019 (12)
Velocidade de citaçãohistorical
Altamente citadoNão
Tipos de citaçãoNeutras: 3
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