Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Similares en SciELO
Compartir
Crítica (México, D.F.)
versión impresa ISSN 0011-1503
Resumen
MOORE, Matthew E. The Completeness of the Real Line. Crítica (Méx., D.F.) [online]. 2007, vol.39, n.117, pp.61-86. ISSN 0011-1503.
It is widely taken for granted that physical lines are real lines, i.e., that the arithmetical structure of the real numbers uniquely matches the geometrical structure of lines in space; and that other number systems, like Robinson's hyperreals, accordingly fail to fit the structure of space. Intuitive justifications for the consensus view are considered and rejected. Insofar as it is justified at all, the conviction that physical lines are real lines is a scientific hypothesis which we may one day reject.
Palabras llave : infinitesimals; geometry; intuition; space; continuity.