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: A
    title: Mathematical Prelude to the Philosophy of Mathematics
  name:
    name part: Pollard, Stephen.
    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: XI, 202 p. online resource.
  abstract: This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic, and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.
  table of contents: Preface -- Chapter 1: Recursion, Induction -- Chapter 2: Peano Arithmetic, Incompleteness -- Chapter 3: Hereditarily Finite Lists -- Chapter 4: Zermelian Lists -- Chapter 5: The Hierarchy of Sets. Chapter 6: Frege Arithmetic -- Chapter 7: Intuitionist Logic -- Chapter 8. Solutions of Odd-Numbered Exercises -- Index.
  note: by Stephen Pollard.
  subject:
    topic: Philosophy
  subject:
    topic: Philosophy and science
  subject:
    topic: Mathematical logic
  subject:
    topic: Philosophy
  subject:
    topic: Philosophy of Science
  subject:
    topic: Mathematical Logic and Foundations
  classification: B67
  classification: 501
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319058160
  identifier: http://dx.doi.org/10.1007/978-3-319-05816-0
  record info:
    record creation date: 140512
    record change date: 20151121020818.0
    record identifier: 978-3-319-05816-0