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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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Bibliographic Details
Main Authors: Hellman, Geoffrey (Author), Shapiro, Stewart, 1951- (Author)
Format: eBook
Language:English
Published: Oxford : Oxford University Press, 2018.
Edition:First edition.
Subjects:
Continuum (Mathematics)
Continuity.
Continu (Mathématiques)
Continuité.
MATHEMATICS > Topology.
Continuity
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.