Edition |
First edition. |
Description |
1 online resource |
Physical Medium |
polychrome |
Description |
text file |
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. |
Bibliography |
Includes bibliographical references (pages 199-204) and index. |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Continuum (Mathematics)
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Continuum (Mathematics) |
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Continuity.
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Continuity. |
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MATHEMATICS -- Topology. |
Genre/Form |
Electronic books.
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Added Author |
Shapiro, Stewart, 1951- author.
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Other Form: |
Print version : Hellman, Geoffrey. Varieties of continua. First edition. Oxford : Oxford University Press, 2018 019871274X (DLC) 2017950767 (OCoLC)1023652765 |
ISBN |
9780191021350 (electronic book) |
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0191021350 (electronic book) |
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9780191781087 |
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0191781088 |
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9780198712749 |
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019871274X |
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