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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford :
Oxford University Press,
2018.
|
| Ausgabe: | First edition. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references (pages 199-204) and index. |
| ISBN: | 9780191021350 0191021350 9780191781087 0191781088 |
Internformat
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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 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Continuity |2 fast | |
| 650 | 7 | |a Continuum (Mathematics) |2 fast | |
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| author | Hellman, Geoffrey Shapiro, Stewart, 1951- |
| author_GND | http://id.loc.gov/authorities/names/n88226801 http://id.loc.gov/authorities/names/n84011861 |
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| 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. |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| edition | First edition. |
| format | Electronic eBook |
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| spelling | Hellman, Geoffrey, author. http://id.loc.gov/authorities/names/n88226801 Varieties of continua : from regions to points and back / Geoffrey Hellman and Stewart Shapiro. First edition. Oxford : Oxford University Press, 2018. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Vendor-supplied metadata. 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. Includes bibliographical references (pages 199-204) and index. 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. Continuum (Mathematics) http://id.loc.gov/authorities/subjects/sh88000078 Continuity. http://id.loc.gov/authorities/subjects/sh85031565 Continu (Mathématiques) Continuité. MATHEMATICS Topology. bisacsh Continuity fast Continuum (Mathematics) fast Shapiro, Stewart, 1951- author. https://id.oclc.org/worldcat/entity/E39PBJktrrFfVdHwdDPPJQ4cyd http://id.loc.gov/authorities/names/n84011861 has work: Varieties of continua (Text) https://id.oclc.org/worldcat/entity/E39PCGwXj8F7Mx64RFTqm9PXq3 https://id.oclc.org/worldcat/ontology/hasWork Print version : Hellman, Geoffrey. Varieties of continua. First edition. Oxford : Oxford University Press, 2018 019871274X (DLC) 2017950767 (OCoLC)1023652765 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1701931 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1701931 Volltext |
| spellingShingle | Hellman, Geoffrey Shapiro, Stewart, 1951- Varieties of continua : from regions to points and back / 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. Continuum (Mathematics) http://id.loc.gov/authorities/subjects/sh88000078 Continuity. http://id.loc.gov/authorities/subjects/sh85031565 Continu (Mathématiques) Continuité. MATHEMATICS Topology. bisacsh Continuity fast Continuum (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh88000078 http://id.loc.gov/authorities/subjects/sh85031565 |
| title | Varieties of continua : from regions to points and back / |
| title_auth | Varieties of continua : from regions to points and back / |
| title_exact_search | Varieties of continua : from regions to points and back / |
| title_full | Varieties of continua : from regions to points and back / Geoffrey Hellman and Stewart Shapiro. |
| title_fullStr | Varieties of continua : from regions to points and back / Geoffrey Hellman and Stewart Shapiro. |
| title_full_unstemmed | Varieties of continua : from regions to points and back / Geoffrey Hellman and Stewart Shapiro. |
| title_short | Varieties of continua : |
| title_sort | varieties of continua from regions to points and back |
| title_sub | from regions to points and back / |
| topic | Continuum (Mathematics) http://id.loc.gov/authorities/subjects/sh88000078 Continuity. http://id.loc.gov/authorities/subjects/sh85031565 Continu (Mathématiques) Continuité. MATHEMATICS Topology. bisacsh Continuity fast Continuum (Mathematics) fast |
| topic_facet | Continuum (Mathematics) Continuity. Continu (Mathématiques) Continuité. MATHEMATICS Topology. Continuity |
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