Kategoriak analogia matematikorako
ISSN: 1577-9424
Argitalpen urtea: 2009
Alea: 9
Zenbakia: 1
Orrialdeak: 119-122
Mota: Artikulua
Beste argitalpen batzuk: Gogoa: Euskal Herriko Unibersitateko hizkuntza, ezagutza, komunikazio eta ekintzari buruzko aldizkaria
Laburpena
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.
Erreferentzia bibliografikoak
- Eilenberg, Samuel and Saunders Maclane (1945), «A general theory of natural equivalences». Transactions of the American Mathematical Society 58: 231-294.
- 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.