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FAMOUS SETTHEORETIC PARADOXES, AND THEIR RESOLUTION IN ZF


By Samuel Horelick


Smashwords Edition – Published by Smashwords


Copyright © 2012 by Samuel Horelick. All rights reserved.



Contents:


1. Countable/Uncountable sets

2. Finite/Infinite sets

3. “Hilbert Hotel” examples

4. Smaller/larger sets and the sizes of Infinity

5. Countable Rational and Uncountable Real numbers: proofs

6. Power set

7. Cantor’s theorem, Cantor’s Paradox, and Russell’s paradox

8. Zermelo's axioms for set theory

9. Essentials of Axiomatic method

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