Set Theory
نویسنده
چکیده
I. The Role of Set Theory in Mathematics A. A Common Language and Framework B. Foundational Role II. Basic Ideas A. Membership and Extensionality B. Basic Operations on Sets III. The Iterative Concept of Sets A. Sets and Rank B. Proper Classes IV. Embedding Mathematics in Set Theory A. Functions and Relations B. Natural Numbers C. Other Number Systems V. Infinite Sets A. Cardinal Numbers B. Ordinal Numbers VI. Axiomatization A. Zermelo–Fraenkel Axioms B. Choice C. Consistency and Incompleteness D. Stronger Axioms
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