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The tone of this article is terrible. Things like "The book is a mathematics book, written by a preeminent mathematician, and is directed at other mathematicians. The material is, however, developed in a playful and unpretentious manner and many chapters are accessible to non-mathematicians." and " a
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I just now fixed the
Dedekind cut thing. Hope you like it better. It's hagiographic, because the book is a sheer pleasure to read; its just plain fun. It really is playful (you should see the illustrations), utterly unpretentious, to the point where he writes an entire chapter aimed at the stuffy
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crowd, in an attempt to justify the liberties and informalities that he's taken. (When I first read it I was struck by that: "what kind of a stuffed shirt would object to that?" but I guess it does contain some "good to know" formalities.)
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I concur. The second example you give is particularly uninformative; telling us that it " a notation that is essentially an almost trite (but critically important) variation of the
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notation that is essentially an almost trite (but critically important) variation of" are entirely lacking an encyclopedic tone.
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