Cardinal Numbers
نویسندگان
چکیده
Part 1 Cardinality of Sets 2 1. Our Purpose 2 2. Introduction 2 3. Notation 3 4. Basic Operations 3 5. Notation and definitions for classes of cardinal numbers 3 6. Basic properties of Cardinal Arithmetic 5 7. General Arithmetic Properties Of Transfinite Cardinals 5 7.1. Useful Special Cases 5 7.2. General Cases 5 8. Specific Arithmetic Relations 6 8.1. Cases involving א0 6 8.2. Cases involving א1 6 9. Tables of common results 6 10. Counting Subsets, Sequences, Permutations, and Partitions 7 10.1. Definitions 7 10.2. Examples 7 10.3. Table of Results 7 11. Cardinality of Specific Sets 8 11.1. Sets with Cardinality א0 8 11.2. Sets with Cardinality א1 9 11.3. Sets with Cardinality א2 9
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