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:
    title: Logic and structure
  name:
    name part: Dalen, D. van (Dirk)
    name part: 1932-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1983
    edition: 2nd ed., corr. 2nd print.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 207 pages) : illustrations.
  abstract: A book which efficiently presents the basics of propositional and predicate logic, van Dalens popular textbook contains a complete treatment of elementary classical logic, using Gentzens Natural Deduction. Propositional and predicate logic are treated in separate chapters in a leisured but precise way. Chapter Three presents the basic facts of model theory, e.g. compactness, Skolem-Lwenheim, elementary equivalence, non-standard models, quantifier elimination, and Skolem functions. The discussion of classical logic is rounded off with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, one chapter is devoted to intuitionistic logic. Completeness is established for Kripke semantics. A number of specific constructive features, such as apartness and equality, the Gdel translation, the disjunction and existence property have been incorporated. The power and elegance of natural deduction is demonstrated best in the part of proof theory called `cut-elimination' or `normalization'. Chapter 6 is devoted to this topic; it contains the basic facts on the structure of derivations, both classically and intuitionistically. Finally, this edition contains a new chapter on Gdel's first incompleteness theorem. The chapter is self-contained, it provides a systematic exposition of primitive recursion and partial recursive functions, recursive by enumerable sets, and recursive separability. The arithmetization of Peano's arithmetic is based on the natural deduction system.
  note: Dirk van Dalen.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (page [203]) and index.
  subject:
    topic: Logic, Symbolic and mathematical
  subject:
    topic: Logique symbolique et mathématique
  subject:
    topic: Logique symbolique et mathématique
  subject:
    topic: Mathematische Logik
  subject:
    topic: Logic, Symbolic and mathematical
  classification: QA9 .D16 1983
  classification: 511.3
  classification: SK 130
  related item:
    title info:
      title: Universitext
  related item:
    title info:
      title: Logic and structure
    name:
      name part: Dalen, D. van (Dirk), 1932-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1983
      edition: 2nd ed., corr. 2nd print.
    identifier: (DLC) 83016857
    identifier: (OCoLC)9918998
  identifier: 9783662023822 (electronic bk.)
  identifier: 3662023822 (electronic bk.)
  identifier: 038712831X (U.S. : pbk.)
  identifier: 9780387128313 (U.S. : pbk.)
  identifier: 354012831X
  identifier: 9783540128311
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101111
    record change date: 20260422215957.0
    record identifier: in00003509036
    language of cataloging:
      language term: eng