Kategoriak analogia matematikorako

• Autores: Enetz Ezenarro Arriola
• Localización: Gogoa: Euskal Herriko Unibersitateko hizkuntza, ezagutza, komunikazio eta ekintzari buruzko aldizkaria, ISSN 1577-9424, Vol. 9, Nº. 1, 2009, págs. 119-122
• Idioma: euskera
• Títulos paralelos:
  • Categories for mathematieal analogy
• Enlaces
  • Texto completo
• 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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  • 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:...
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  • Marquis, Jean-Pierre(2009), From a Geometrical Point of View. A Study of the History and Philosophy of Category Theory.