In this Chapter I shall discuss a notion, which have been already used throughout this book, namely, the notion of mathematical structure. I shall also discuss a philosophical view known as structuralism and analyze its relationships with the category theory. According to a popular opinion the category theory wholly justifies the structural approach in mathematics and provides a framework for developing the structural mathematics.

Original languageEnglish
Title of host publicationAxiomatic Method and Category Theory
PublisherSpringer Nature
Pages235-263
Number of pages29
ISBN (Electronic)978-3-319-37551-9
ISBN (Print)978-3-319-37551-9
DOIs
StatePublished - 2014

Publication series

NameSynthese Library
Volume364
ISSN (Print)0166-6991
ISSN (Electronic)2542-8292

    Scopus subject areas

  • History and Philosophy of Science
  • History
  • Language and Linguistics
  • Logic

    Research areas

  • Category Theory, Geometrical Object, Invariant Structure, Proper Class, Topological Space

ID: 92471488