The history of continua: philosophical and mathematical perspectives
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford ; New York, NY
Oxford University Press
2021
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| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii, 577 Seiten Illustrationen |
| ISBN: | 9780198809647 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents List of Figures List of Contributors Introduction Stewart Shapiro and Geoffrey Heilman 1. Divisibility or Indivisibility: The Notion of Continuity from the Presocratics to Aristotle Barbara M. Sattler 2. Contiguity, Continuity, and Continuous Change: Alexander of Aphrodisias on Aristotle Orna Hararı 3. Infinity and Continuity: Thomas Bradwardine and His Contemporaries Edith Dudley Sylla 4. Continuous Extension and Indivisibles in Galileo Samuel Levey vii ix 1 6 27 49 82 5. The Indivisibles of the Continuum: Seventeenth-Century Adventures in Infinitesimal Mathematics Douglas M. Jesseph 104 6. The Continuum, the Infinitely Small, and the Law of Continuity in Leibniz Samuel Levey 123 7. Continuity and Intuition in Eighteenth-Century Analysis and in Kant Daniel Sutherland 158 8. Bolzano on Continuity Paul Rusnock 187 9. Cantor and Continuity Akihiro Kanamori 219 10. Dedekind on Continuity Emmylou Haffner and Dirk Schlimm 255
vi CONTENTS 11. What Is a Number? Continua, Magnitudes, Quantities Charles McCarty 283 12. Continuity in Intuiţionism Charles McCarty 299 13. The Peircean Continuum Francisco Vargas and Matthew E. Moore 328 14. Points as Higher-Order Constructs: Whitehead’s Method of Extensive Abstraction Achille C. Varzi 347 15. The Predicative Conception of the Continuum Peter Koellner 379 16. Point-Free Continuum Giangiacomo Gerla 427 17. Intuitionistic/Constructive Accounts of the Continuum Today John L. Bell 476 18. Contemporary Infinitesimalist Theories of Continua and Their Late Nineteenth- and Early Twentieth-Century Forerunners Philip Ehrlich 502 Index 571
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| adam_txt |
Contents List of Figures List of Contributors Introduction Stewart Shapiro and Geoffrey Heilman 1. Divisibility or Indivisibility: The Notion of Continuity from the Presocratics to Aristotle Barbara M. Sattler 2. Contiguity, Continuity, and Continuous Change: Alexander of Aphrodisias on Aristotle Orna Hararı 3. Infinity and Continuity: Thomas Bradwardine and His Contemporaries Edith Dudley Sylla 4. Continuous Extension and Indivisibles in Galileo Samuel Levey vii ix 1 6 27 49 82 5. The Indivisibles of the Continuum: Seventeenth-Century Adventures in Infinitesimal Mathematics Douglas M. Jesseph 104 6. The Continuum, the Infinitely Small, and the Law of Continuity in Leibniz Samuel Levey 123 7. Continuity and Intuition in Eighteenth-Century Analysis and in Kant Daniel Sutherland 158 8. Bolzano on Continuity Paul Rusnock 187 9. Cantor and Continuity Akihiro Kanamori 219 10. Dedekind on Continuity Emmylou Haffner and Dirk Schlimm 255
vi CONTENTS 11. What Is a Number? Continua, Magnitudes, Quantities Charles McCarty 283 12. Continuity in Intuiţionism Charles McCarty 299 13. The Peircean Continuum Francisco Vargas and Matthew E. Moore 328 14. Points as Higher-Order Constructs: Whitehead’s Method of Extensive Abstraction Achille C. Varzi 347 15. The Predicative Conception of the Continuum Peter Koellner 379 16. Point-Free Continuum Giangiacomo Gerla 427 17. Intuitionistic/Constructive Accounts of the Continuum Today John L. Bell 476 18. Contemporary Infinitesimalist Theories of Continua and Their Late Nineteenth- and Early Twentieth-Century Forerunners Philip Ehrlich 502 Index 571 |
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| discipline | Mathematik |
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| edition | First edition |
| era | Geschichte gnd |
| era_facet | Geschichte |
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| spelling | The history of continua philosophical and mathematical perspectives edited by Stewart Shapiro and Geoffrey Hellman First edition Oxford ; New York, NY Oxford University Press 2021 © 2021 viii, 577 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Geschichte gnd rswk-swf Kontinuum (DE-588)4032295-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Unteilbarkeit (DE-588)4471395-2 gnd rswk-swf Continuity Indivisibles (Philosophy) (DE-588)4143413-4 Aufsatzsammlung gnd-content Kontinuum (DE-588)4032295-6 s Unteilbarkeit (DE-588)4471395-2 s Unendlichkeit (DE-588)4136067-9 s Philosophie (DE-588)4045791-6 s Mathematik (DE-588)4037944-9 s Geschichte z DE-604 Shapiro, Stewart 1951- (DE-588)131540564 edt Hellman, Geoffrey 1943- (DE-588)1169845142 edt Erscheint auch als Online-Ausgabe 978-0-19-184691-5 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032594616&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The history of continua philosophical and mathematical perspectives Kontinuum (DE-588)4032295-6 gnd Mathematik (DE-588)4037944-9 gnd Unendlichkeit (DE-588)4136067-9 gnd Philosophie (DE-588)4045791-6 gnd Unteilbarkeit (DE-588)4471395-2 gnd |
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| title | The history of continua philosophical and mathematical perspectives |
| title_auth | The history of continua philosophical and mathematical perspectives |
| title_exact_search | The history of continua philosophical and mathematical perspectives |
| title_exact_search_txtP | The history of continua philosophical and mathematical perspectives |
| title_full | The history of continua philosophical and mathematical perspectives edited by Stewart Shapiro and Geoffrey Hellman |
| title_fullStr | The history of continua philosophical and mathematical perspectives edited by Stewart Shapiro and Geoffrey Hellman |
| title_full_unstemmed | The history of continua philosophical and mathematical perspectives edited by Stewart Shapiro and Geoffrey Hellman |
| title_short | The history of continua |
| title_sort | the history of continua philosophical and mathematical perspectives |
| title_sub | philosophical and mathematical perspectives |
| topic | Kontinuum (DE-588)4032295-6 gnd Mathematik (DE-588)4037944-9 gnd Unendlichkeit (DE-588)4136067-9 gnd Philosophie (DE-588)4045791-6 gnd Unteilbarkeit (DE-588)4471395-2 gnd |
| topic_facet | Kontinuum Mathematik Unendlichkeit Philosophie Unteilbarkeit Aufsatzsammlung |
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