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Description
The Philosophy of Set Theory: An Historical Introduction to Cantor's ParadiseA century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and
A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics.As Cantor's sometime collaborator, David Hilbert, 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; and independence results and the universe of sets. She concludes with views of the constructs and reality of mathematical structure.
Philosophers with only a basic grounding in mathematics, as well as mathematicians who have taken only an introductory course in philosophy, will find an abundance of intriguing topics in this text, which is appropriate for undergraduate-and graduate-level courses.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/18/2004
ISBN: 9780486435206
Pages: 239
Weight: 0.62lbs
Size: 8.48h x 5.36w x 0.56d
Review Citations: Scitech Book News 12/01/2004 pg. 14
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★★★★★ 5
Good! I would buy this again if needed.
Style: Restore & Protect, Size: 5 QT, Configuration: 5W-30
Good! I would buy this again if needed. The best oil to use in a KIA, IMO. Keeps it clean and might help prevent oil burning. Your KIA needs the best oil you can feed it. They are known for failing engines so why not give it the best, especially if its out of warranty like mine!
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Reviewed in the United States on May 26, 2026
★★★★★ 5
USE THIS 3 yr old-10yr old cars But it is not for use for classic muscle car-flat tappet cams
Style: Restore & Protect, Size: 5 QT, Configuration: 5W-30
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Reviewed in the United States on May 20, 2026
★★★★★ 5
Amazing Oil!
Style: Restore & Protect, Size: 5 QT, Configuration: 5W-30
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Reviewed in the United States on May 14, 2026
★★★★★ 5
A fascinating glimpse into the undoing of the Confederacy
Format: Paperback
This dense and and well-written book includes some really interesting insights into how the Confederacy was formed, but then ultimately challenged and destroyed by some of the people it excluded. In Confederate Reckoning, we get to learn about the epic political battle in which White women and slaves in the South helped to undermine the Confederacy and determine the outcome of the Civil War.
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Reviewed in the United States on November 29, 2025
★★★★★ 5
Excellent book!
Format: Paperback
I think this is a fabulous book. I have always been interested in the causes of the civil war and this book presents an interesting, almost fascinating perspective, which I havent' seen in other books. I have also been reading James Oakes fabulous "Freedom National" and the two books complement each other extremely well. McCurry's book is not of the quality that Oakes book is but not much is.
I cannot understand the criticism of her writing. I find her writing to be very good...admittedly some of the sentences are too long and a few ill defined names but this is a very well written book.
Although we have all studied some version of much of this material before I find it hard to believe that almost anyone won't be astonished by the magnitude of the task the confederacy was attempting to take and its inherent stupidity or maybe a better description would be craziness of these people.
Good book!
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Reviewed in the United States on May 21, 2013