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: Where is the Gödel-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Constructive Ordinals
  name:
    name part: Horská, Anna.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 77 p. online resource.
  abstract: This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. This representation is analysed and connection to set-theoretical representation is found, namely an algorithm for translating Gentzen's notation into Cantor normal form. The topic should interest researchers and students who work on proof theory, history of proof theory or Hilbert's program and who do not mind reading mathematical texts.
  table of contents: Acknowledgements -- 1 Introduction -- 2 Preliminaries -- 3 Ordinal numbers -- 4 Consistency proof -- Index -- References.
  note: by Anna Horská.
  subject:
    topic: Philosophy
  subject:
    topic: Logic
  subject:
    topic: Mathematical logic
  subject:
    topic: Philosophy
  subject:
    topic: Logic
  subject:
    topic: Mathematical Logic and Foundations
  classification: BC1-199
  classification: 160
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Philosophy
  identifier: 9783319021713
  identifier: http://dx.doi.org/10.1007/978-3-319-02171-3
  record info:
    record creation date: 131022
    record change date: 20151120180548.0
    record identifier: 978-3-319-02171-3