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: Structures and Algorithms
    sub title: Mathematics and the Nature of Knowledge
  name:
    name part: Fenstad, Jens Erik.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 134 p. 7 illus. online resource.
  abstract: This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers "see" and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author's approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing "mathematics" as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what "mathematics" should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2-6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author's analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book's closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.
  table of contents: 1.Preface -- 2.Introduction -- 3.Mathematics and the nature of knowledge - an introductory essay -- 4.The miraculous left hand - Leonardo and the nature of knowledge -- 5.Relationships between the social and natural sciences -- 6.Changes in the knowledge system and their implications for the formative stage of scholars -- 7.Remarks on the science and technology of language -- 8.How mathematics is rooted in life -- 9.Tarski, truth and natural languages -- 10.Formal semantics, geometry and mind -- 11.Discours, Interaction and Communication -- 12.On what there is - infinitesimals and the nature of numbers.
  note: by Jens Erik Fenstad.
  subject:
    topic: Epistemology
  subject:
    topic: Mathematical logic
  subject:
    topic: Mathematics-Philosophy
  subject:
    topic: Language and languages-Philosophy
  subject:
    topic: Epistemology
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Mathematical Logic and Formal Languages
  subject:
    topic: Philosophy of Mathematics
  subject:
    topic: Philosophy of Language
  classification: BD143-237
  classification: 120
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Logic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences, 15
  identifier: 9783319729749
  identifier: https://doi.org/10.1007/978-3-319-72974-9
  record info:
    record creation date: 180310
    record change date: 20191220125316.0
    record identifier: 978-3-319-72974-9