## Abstract Set Theory |

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### Contents

Preface | 1 |

Examples Cantors Set Concept | 11 |

Fundamental Concepts Finite and Infinite Sets | 23 |

Copyright | |

12 other sections not shown

### Common terms and phrases

abstract according addition alephs algebraic numbers Annalen arbitrary member arithmetic associative law axiom of choice belongs called Cantor Cartesian product concept contains continuum corresponding decimal Dedekind defined Definition denoted dense set dense-in-itself denumerable set digits disjoint sets ensembles equal equation equipollent equivalent example exists finite cardinals finite number finite sets formulation Foundations function gamma-set given hence ibid implies inequality infinite sets infinity initial instance intersection interval introduced last member logical magnitude Math mathematical induction means Mengenlehre method multiplication null-set obtain one-to-one order-types ordered pairs ordered sets ordered sum ordinal numbers pairwise disjoint particular Philos plain sets positive integers power-set problem proof of Theorem proper subset properties prove rationals real numbers relation sequence set theory sets of points Sierpinski similar mapping statement Tarski transfinite cardinals transfinite induction types union uniquely unit-set well-ordered set well-ordering theorem yields Zermelo