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I read the construction of real numbers by Dedekind cuts today in a book(it was quite incomplete).I was wondering if someone could please point me to a source or a book containing the construction of the entire natural numbers,the rationals, the real numbers and the various operations like addition, subtraction, exponentiation and all that. I may not read it whole at one go but I certainly wish to see how it is done.In addition, a few "exercises" or something of that sort will not do me harm.

Thanks!

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I start from the natural numbers in this post. I'm sure you can find detailed constructions of the natural numbers on the internet somewhere too. –  Zhen Lin Sep 12 '12 at 17:43
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for dedekind, books.google.com/… –  yoyo Sep 12 '12 at 22:34
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2 Answers 2

up vote 4 down vote accepted

Goldrei's "Classic Set Theory" is a great introduction! The first few chapters are dedicated to this.

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I don't know why these answers have not yet received upvotes.But this is precisely what I was looking for.Thanks for sure. –  Squid Sep 12 '12 at 19:41
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Here you will find a book that contains the construction. It is an appendix to chapter 1.

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