Varieties of continua : from regions to points and back /

Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hellman, Geoffrey (Autor), Shapiro, Stewart, 1951- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 2018.
Edición:First edition.
Temas:
Continuum (Mathematics)
Continuity.
Continu (Mathématiques)
Continuité.
MATHEMATICS > Topology.
Continuity
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The old orthodoxy (Aristotle) vs the new orthodoxy (Dedekind-Cantor)
  • The classical continuum without points
  • Aristotelian and predicative continua
  • Real numbers on an Aristotelian continuum
  • Regions-based two-dimensional continua: the Euclidean case
  • Non-Euclidean extensions
  • The matter of points
  • Scorecard
  • References
  • Index.

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