3 of 3 people found the following review helpful
5.0 out of 5 stars
Great book on set theory, April 13 2002
I would imagine that introductory set theory books pose a significant problem for writers. Unless the reader has read a fair amount of mathematics, the material will seem unmotivated. On the other hand, if the reader has been exposed to mathematics, then she will find the introductory portion of the book boring and tedious. Smullyan & Fitting claimed to write an introductory book, but I don't think they did.
The introduction to sets is very fast. This is fine, as I fall into the class of people who find the introductions tedious. This is just a warning to anyone looking for a very introductory book: there are cheaper ones which you will understand better than this (Kamke, for example).
However, if you have had a fair amount of experience with logic and some set theory, then this book is great. The author's method of double induction brings together a large number of topics. Cohen's forcing method is presented with crystal clarity, and in a significantly interesting way. Independence proofs are, by their nature, generally tedious and pedantic. Yet the authors managed to make those presented very interesting.
Each chapter starts out with an interesting summary of the main ideas to be covered. This gives the reader a sort of "road map" in each chapter, allowing her to see where the chapter is headed, and how it is going to get there. This sort of thing is very important, but often lacking in mathematical books.
I highly recommend this book.
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0 of 6 people found the following review helpful
5.0 out of 5 stars
WKRC, Dresdin.. whoever you are (pause_ TOGGLE, July 3 2004
sort of like..
yes... peano induction theorem well written... what assumes
union terminals...
the grace of attendance to typesetting is not lost aspiration in
this society..
definitely rec. reading
spotter,
coastwatch grid )*- hazelton chem stenography
US NAVAL Observatory Time 202-762-1401
/ \/ /
Polaris sigint drez...
follow the driping gourd, dresdin, WKRC TV Cincinnati, OH
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