Kategoriak analogia matematikorako

  1. Ezenarro Arriola, Enetz
Revista:
Gogoa: Euskal Herriko Unibersitateko hizkuntza, ezagutza, komunikazio eta ekintzari buruzko aldizkaria

ISSN: 1577-9424

Año de publicación: 2009

Volumen: 9

Número: 1

Páginas: 119-122

Tipo: Artículo

Otras publicaciones en: Gogoa: Euskal Herriko Unibersitateko hizkuntza, ezagutza, komunikazio eta ekintzari buruzko aldizkaria

Resumen

Analogy in Mathematics has to be taken from a triple point of view: Conceptual analogy, analogical reasoning, and analogy-based approaches to generalisation in some relevant mathematical fields. My basic point in this short notice is that Category Theory can play an important role in defining that idea of analogy, and therefore in providing new ideas and methods for the construction of a more unified conception of Mathematics.

Referencias bibliográficas

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  • Hilbert, David (1926), «Über das Unendliche». Mathematische Annalen 95: 161-90.
  • Holyoak, Keith J. and Paul Thagard (1995), Mental leaps: Analogy in creative thought. Cambridge, Mass.: MIT Press.
  • Klein, Felix (1872,1893), «Vergleichende Betrachtungen über neuere geometrische Forschungen». Mathematische Annalen 43: 63-100. English translation: «A comparative review of recent researches in geometry». Bulletin of the American Mathematical Society 2(10): 215-249.
  • Mac Lane, Saunders (1986), Mathematics: Form and Function. New York: Springer.
  • Marquis, Jean-Pierre(2009), From a Geometrical Point of View. A Study of the History and Philosophy of Category Theory.