Set-Theoretic Paradoxes and their Resolution in Z-F

Nonfiction, Religion & Spirituality, Philosophy, Metaphysics, Reference & Language, Education & Teaching, Higher Education
Cover of the book Set-Theoretic Paradoxes and their Resolution in Z-F by Samuel Horelick, Samuel Horelick
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Author: Samuel Horelick ISBN: 9781301283774
Publisher: Samuel Horelick Publication: December 26, 2012
Imprint: Smashwords Edition Language: English
Author: Samuel Horelick
ISBN: 9781301283774
Publisher: Samuel Horelick
Publication: December 26, 2012
Imprint: Smashwords Edition
Language: English

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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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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