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Basics about Sets

We start the study of set theory with the naive, historical set definition of Georg Cantor as well as with some basic set operations.

| | | | created: 2014-02-20 21:24:12 | modified: 2019-09-01 19:01:04 | by: bookofproofs | references: [983]

1.Definition: Set, Set Element, Empty Set (Cantor)

2.Definition: Universal Set

3.Definition: Subset and Superset

4.Definition: Power Set

5.Set Operations

6.Definition: Index Set and Set Family

7.Definition: Mutually Disjoint Sets

8.Definition: Set Partition

9.Definition: Generalized Union of Sets

Edit or AddNotationAxiomatic Method

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Bibliography (further reading)

[983] Ebbinghaus, H.-D.: “Einführung in die Mengenlehre”, BI Wisschenschaftsverlag, 1994, 3