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Introduction to set theory. The set theory of Georg Cantor and its axiomatization by Ernst Zermelo - MaRDI portal

Introduction to set theory. The set theory of Georg Cantor and its axiomatization by Ernst Zermelo (Q5902157)

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scientific article; zbMATH DE number 5574433
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Introduction to set theory. The set theory of Georg Cantor and its axiomatization by Ernst Zermelo
scientific article; zbMATH DE number 5574433

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    Introduction to set theory. The set theory of Georg Cantor and its axiomatization by Ernst Zermelo (English)
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    2 July 2009
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    The third edition of the book is a revised version of the second edition (see [Zbl 1042.03001]). The author made corrections and improvements. For a review of the first edition see [Zbl 0988.03004].
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    transfinite induction
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    set theory
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    Cantor
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    Hausdorff
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    Zermelo
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    history of set theory
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    orders
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    subsets of the real numbers
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    axiomatization
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    countable sets
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    uncountable sets
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    diagonalization principle
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    continuum hypothesis
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    antinomies
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    transfinite operations
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    well-orderings
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    ordinal numbers
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    cardinal numbers
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    order types
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    stationary sets
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    Cantor sets
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    Ulam matrix
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    Borel hierarchy
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    biography
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