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Synopsis
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
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About the Author
Michael Hallett is at McGill University, Montreal.
Review
"Here is the first full-length study to do justice both to the mathematical importance of Cantor's work and to the philosophical ideas that governed it....The book is very well informed mathematically, yet much of Hallett's perceptive comment on and his patient and sympathetic interpretation of the philosophical ideas of Cantor and the other founders of set theory will be readily intelligible to nonspecialists, making the book of great interest to mathematician and philosopher alike."--Choice
"Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics."--The American Mathematical Monthly
"About this title" may belong to another edition of this title.
- PublisherClarendon Press
- Publication date1986
- ISBN 10 0198532830
- ISBN 13 9780198532835
- BindingPaperback
- LanguageEnglish
- Number of pages368
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Cantorian Set Theory and Limitation of Size (Oxford Logic Guides)
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Cantorian Set Theory and Limitation of Size (Oxford Logic Guides)
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Cantorian Set Theory and Limitation of Size
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Paperback. Condition: Near Fine. Reprint. 23 x 15.5 cm. xxii 343pp. Bibliography, name and subject index. Oxford Logic Guides #10. Chapter headings include: "Cantor's theory of infinity", "The ordinal theory of powers", "Cantor's theory of number", "The origin of the limitation of size idea", "The limitation of size argument", "The completability of sets", "The Zermelo system", "Von Neuman's reinstatement of the ordinal theory of size". Seller Inventory # 79651
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