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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
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Oxford :
Oxford University Press
2018.
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| Edición: | First edition |
| Colección: | EBSCO Academic eBook Collection Complete.
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| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b47416397*spi |
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.
