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9780486435206

Philosophy of Set Theory An Historical Introduction to Cantor's Paradise
Philosophy of Set Theory An Historical Introduction to Cantor's Paradise
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  • ISBN-13: 9780486435206
  • ISBN: 0486435202
  • Publication Date: 2004
  • Publisher: Dover Publications, Incorporated

AUTHOR

Tiles, Mary

SUMMARY

David Hilbert famously remarked, "No one will drive us from the paradise that Cantor has created." This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory; logical objects and logical types; independence results and the universe of sets; and the constructs and reality of mathematical structure. Philosophers and mathematicians will find an abundance of intriguing topics in this text, which is appropriate for undergraduate- and graduate-level courses. 1989 ed. 32 figures.Tiles, Mary is the author of 'Philosophy of Set Theory An Historical Introduction to Cantor's Paradise', published 2004 under ISBN 9780486435206 and ISBN 0486435202.

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