Categories Without Structures

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics. While structural mathematics studies “invariant forms” (Awodey) categorical mathematics studies covariant transformations which, generally, don’t have any invariants. In this paper I develop a non-structuralist interpretation of categorical mathematics and show its consequences for history of mathematics and mathematics education.
Original languageEnglish
Pages (from-to)20-46
JournalPhilosophia Mathematica
Volume19
Issue number1
DOIs
StatePublished - 2011

Keywords

  • Category theory
  • Structuralism
  • Invariance
  • Functoriality

Fingerprint

Dive into the research topics of 'Categories Without Structures'. Together they form a unique fingerprint.

Cite this