In search of ℵ0: : how infinity can be created

• Autores: Markus Pantsar
• Localización: Synthese, ISSN-e 1573-0964, Vol. 192, Nº. 8, 2015, págs. 2489-2511
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. The account is based on a simple metaphor in which we think of indefinitely continuing processes as defining objects. It is shown that such a metaphor is valid in terms of mathematical practice, as well as in line with empirical data on arithmetical cognition