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: Mathematical Logic
  name:
    name part: Ebbinghaus, H.-D.
    role:
      role term: creator
  name:
    name part: Flum, J.
  name:
    name part: Thomas, W.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1994
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 290 pages)
  abstract: This junior/senior level text is devoted to a study of first-order logic and its role in the foundations of mathematics: What is a proof? How can a proof be justified? To what extent can a proof be made a purely mechanical procedure? How much faith can we have in a proof that is so complex that no one can follow it through in a lifetime? The first substantial answers to these questions have only been obtained in this century. The most striking results are contained in Goedel's work: First, it is possible to give a simple set of rules that suffice to carry out all mathematical proofs; but, second, these rules are necessarily incomplete - it is impossible, for example, to prove all true statements of arithmetic. The book begins with an introduction to first-order logic, Goedel's theorem, and model theory. A second part covers extensions of first-order logic and limitations of the formal methods. The book covers several advanced topics, not commonly treated in introductory texts, such as Trachtenbrot's undecidability theorem. Fraissé's elementary equivalence, and Lindstroem's theorem on the maximality of first-order logic.
  note: by H.-D. Ebbinghaus, J. Flum, W. Thomas.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Logic, Symbolic and mathematical
  subject:
    topic: Logic, Symbolic and mathematical
  subject:
    topic: Mathematics
  classification: QA8.9-10.3
  classification: 511.3
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9781475723557 (electronic bk.)
  identifier: 1475723555 (electronic bk.)
  identifier: 9781475723571
  identifier: 1475723571
  identifier: 1475723555
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130109
    record change date: 20260422204552.1
    record identifier: in00003561273
    language of cataloging:
      language term: eng