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: Naive set theory
    sub title: a rigorous approach
  name:
    name part: Ruffino, Fabio Ferrari.
    role:
      role term: creator
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2025
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: Naïve Set Theory: A Rigorous Approach aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues, trying to clarify explicitly what is (necessarily) assumed as intuitively known and what is rigorously founded on more elementary concepts. It analyses in detail the nature of natural numbers, both as metatheoretical objects and through their set-theoretical model. The author also pays particular attention to some topics that are not usually covered by the literature on naive set theory, like the universal properties of Cartesian product and disjoint union, that lead to a precise formulation of their basic features (associativity, commutativity, and distributivity). The exposition is organized coherently from the initial meta-theoretical notions to the construction of the universe of well-founded sets. Features: Replete with exercises, partially spread within the text and partially listed at the end of each chapter with a solutions manual available on www.Routledge.com/9781032933047. Covers foundational topics that are not usually discussed in the literature on naive set theory, such as universal properties of Cartesian product and disjoint union, through which one can properly state associativity, commutativity, and distributivity of these operations.
  subject:
    topic: Set theory
  subject:
    topic: Théorie des ensembles
  subject:
    topic: MATHEMATICS / Set Theory
  subject:
    topic: MATHEMATICS / Number Theory
  subject:
    topic: MATHEMATICS / Number Systems
  classification: QA248 .R84 2025
  classification: 511.3/22
  related item:
    title info:
      title: NAIVE SET THEORY
    name:
      name part: Ruffino, Fabio Ferrari.
    origin info:
      publisher: [S.l.] : CHAPMAN & HALL CRC, 2025
    identifier: (OCoLC)1454720472
  identifier: 9781040305539
  identifier: 1040305539
  identifier: 9781003565291
  identifier: 1003565298
  identifier: 9781040305577
  identifier: 1040305571
  identifier: 1032933046
  identifier: 9781032933047
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 241220
    record change date: 20250311170447.5
    record identifier: in00005619937
    language of cataloging:
      language term: eng