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Synopsis

Countable/Uncountable sets, Sizes of Infinity, "Hilbert Hotels", Power set, Cantor’s theorem and Paradox, Russell’s paradox, Zermelo's axioms for set theory, Essentials of Axiomatic method, Continuum Hypotheses, Unlimited Abstraction Principle and Separation Principle, Undecidability of Continuum Hypotheses in Zermelo-Fraenkel system, Note on the objections to Zermelo’s system.

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