rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: many valued and non-monotonic turn in logic
  name:
    name part: Gabbay, Dov M.
    name part: 1945-
  name:
    name part: Woods, John (John Hayden)
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: London
    publisher: North Holland
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: 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.…
  table of contents: Preface -- List of Contributors -- Chapter 1. Many-valued Logic (Grzegorz Malinowski) -- Chapter 2. Paraconsistent Logic: Preservationist Variations (Bryson Brown) -- Chapter 3. Paraconsistent Logic: Dialethic Variations (Graham Priest) -- Chapter 4. Quantum Logic (M. Dalla Chiara, Roberto Giuntini and Miklos Řdei) -- Chapter 5. Logic of Vagueness (Dominic Hyde) -- Chapter 6. Fuzzy Logic (Didier Dubois, Henri Prade and Lluis Godo) -- Chapter 7. Non-monotonic Logic (Karl Schlechta) -- Chapter 8. Default Logic (Grigoris Antoniou and Kewen Wang) -- Chapter 9. Non-monotonic Reasoning and Belief Change (Alexander Bochman) -- Chapter 10. Free Logic (Carl Posy) -- Index.
  note: edited by Dov M. Gabbay and John Woods.
  note: Includes index.
  note: Includes bibliographical references and index.
  subject:
    topic: Many-valued logic
  subject:
    topic: Nonmonotonic reasoning
  subject:
    topic: Logique multivalente
  subject:
    topic: Raisonnement non-monotone
  subject:
    topic: MATHEMATICS
    topic: Infinity
  subject:
    topic: MATHEMATICS
    topic: Logic
  subject:
    topic: Many-valued logic
  subject:
    topic: Nonmonotonic reasoning
  classification: QA9.45 .M36 2007
  classification: 511.312
  related item:
    title info:
      title: Many valued and non-monotonic turn in logic
    origin info:
      publisher: Amsterdam ; London : North Holland, 2007
    identifier: (OCoLC)123113726
  related item:
    title info:
      title: Handbook of the history of logic ; v. 8
  identifier: 9780080549392
  identifier: 008054939X
  identifier: 9780444516237
  identifier: 0444516239
  identifier: 133588:133713 Elsevier Science & Technology
  identifier: 62386A18-343F-46F5-ADF5-9BF67D008ABF OverDrive, Inc.
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070802
    record change date: 20260326151023.9
    record identifier: in00005732199
    language of cataloging:
      language term: eng