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Review of Yiannis N. Moschovakis, Notes on Set Theory [New York, Springer-Verlag, 1994]

Varzi, Achille C.

This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems. Written by one of the leading contributors to the field, it covers all the basic material, but with some novelties that make it interesting also to the advanced reader. The book begins with a couple of chapters devoted to the first, basic results of Cantorian set theory, including detailed accounts of Cantor’s diagonal arguments and of the Schroöder-Bernstein Theorem. While the style of presentation might strike some readers as rather demanding for a start (in spite of the useful figures accompanying the proofs), by the end of chapter 2 the effort is rewarded and the stage is set for appreciating the need for an axiomatic framework.

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Title
History and Philosophy of Logic
DOI
https://doi.org/10.1080/01445349608837262

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Philosophy
Published Here
December 3, 2014
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