Varieties of continua : from regions to points and back / Geoffrey Hellman and Stewart Shapiro.

Format:

Book

Author/Creator:

Hellman, Geoffrey, author.

Shapiro, Stewart, author.

Language:

English

Subjects (All):

Continuity.

Continuum (Mathematics).

Physical Description:

1 online resource (219 pages)

Edition:

First edition.

Place of Publication:

Oxford : Oxford University Press, 2018.

Summary:

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 the nature of space or space-time.

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.

Notes:

This edition previously issued in print: 2018.

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version :

ISBN:

0-19-178108-8

0-19-102135-0