Abstract Set Theory |
Contents
INTRODUCTION | 1 |
EXAMPLES Cantors SET CONCEPT | 9 |
FUNDAMENTAL CONCEPTS FINITE AND INFINITE SETS | 23 |
Copyright | |
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abstract according addition alephs algebraic Annalen arithmetic axiom of choice belong called Cantor Cartesian product concept contains continuum corresponding decimal Dedekind defined Definition denoted dense dense set dense-in-itself denumerable set determined equal equivalent example exists finite cardinals finite number finite sets formulation Foundations function gamma-set given Hausdorff hence ibid implies infinite sets initial instance intersection introduced K₁ last member limit-number logical magnitude Math mathematical induction means multiplication non-empty subset null-set number-class obtain order-types ordered pairs ordered sets ordered sum ordinal numbers ordinals p₁ partial mappings particular plain sets positive integers power-set problem proof of Theorem proper subset properties prove r₁ rationals real numbers relation S₁ satisfies sequence sequent set theory sets of points Sierpiński similar mapping statement Tarski Theorem 12 transfinite cardinals transfinite induction types union uniquely unit-set w₁ well-ordered set well-ordering theorem Zermelo