In the light of logic
In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborate...
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| Γλώσσα: | Undetermined English |
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New York
Oxford University Press
1998
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| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Trà Vinh |
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| Περίληψη: | In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support |
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| Φυσική περιγραφή: | 340 p. ill. 24 cm |
| ISBN: | 0195080300 9780195080308 |