Zermelo’s Axiom of Choice: Its Origins, Development, and Influence
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1982
|
| Schriftenreihe: | Studies in the History of Mathematics and Physical Sciences
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography |
| Beschreibung: | 1 Online-Ressource (XIV, 412 p) |
| ISBN: | 9781461394785 9781461394808 |
| ISSN: | 0172-570X |
| DOI: | 10.1007/978-1-4613-9478-5 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9478-5 |
| format | Electronic eBook |
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| isbn | 9781461394785 9781461394808 |
| issn | 0172-570X |
| language | English |
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| spelling | Moore, Gregory H. Verfasser aut Zermelo’s Axiom of Choice Its Origins, Development, and Influence by Gregory H. Moore New York, NY Springer New York 1982 1 Online-Ressource (XIV, 412 p) txt rdacontent c rdamedia cr rdacarrier Studies in the History of Mathematics and Physical Sciences 8 0172-570X This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography Zermelo, Ernst 1871-1953 (DE-588)119514966 gnd rswk-swf Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Geschichte (DE-588)4020517-4 gnd rswk-swf Auswahlaxiom (DE-588)4143673-8 gnd rswk-swf Auswahlaxiom (DE-588)4143673-8 s Geschichte (DE-588)4020517-4 s 1\p DE-604 Zermelo, Ernst 1871-1953 (DE-588)119514966 p 2\p DE-604 https://doi.org/10.1007/978-1-4613-9478-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Moore, Gregory H. Zermelo’s Axiom of Choice Its Origins, Development, and Influence Zermelo, Ernst 1871-1953 (DE-588)119514966 gnd Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Geschichte (DE-588)4020517-4 gnd Auswahlaxiom (DE-588)4143673-8 gnd |
| subject_GND | (DE-588)119514966 (DE-588)4020517-4 (DE-588)4143673-8 |
| title | Zermelo’s Axiom of Choice Its Origins, Development, and Influence |
| title_auth | Zermelo’s Axiom of Choice Its Origins, Development, and Influence |
| title_exact_search | Zermelo’s Axiom of Choice Its Origins, Development, and Influence |
| title_full | Zermelo’s Axiom of Choice Its Origins, Development, and Influence by Gregory H. Moore |
| title_fullStr | Zermelo’s Axiom of Choice Its Origins, Development, and Influence by Gregory H. Moore |
| title_full_unstemmed | Zermelo’s Axiom of Choice Its Origins, Development, and Influence by Gregory H. Moore |
| title_short | Zermelo’s Axiom of Choice |
| title_sort | zermelo s axiom of choice its origins development and influence |
| title_sub | Its Origins, Development, and Influence |
| topic | Zermelo, Ernst 1871-1953 (DE-588)119514966 gnd Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Geschichte (DE-588)4020517-4 gnd Auswahlaxiom (DE-588)4143673-8 gnd |
| topic_facet | Zermelo, Ernst 1871-1953 Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Geschichte Auswahlaxiom |
| url | https://doi.org/10.1007/978-1-4613-9478-5 |
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