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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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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:
Acceso en línea:Texto completo

MARC

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520 |a 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. 
504 |a Includes bibliographical references (pages 199-204) and index. 
505 0 |a 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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650 6 |a Continuité. 
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650 7 |a Continuum (Mathematics)  |2 fast 
700 1 |a Shapiro, Stewart,  |d 1951-  |e author. 
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