Set Concepts

Set Theory Professor Orr CPT120 ~ Quantitative Analysis I

Why Study Set Theory? ,[object Object],[object Object],[object Object],[object Object]

Key Mathematicians ,[object Object],[object Object],[object Object],[object Object],[object Object]

Georg Cantor 1845 -1918 ,[object Object],[object Object],[object Object]

…Cantor ,[object Object],[object Object],[object Object],[object Object],[object Object]

John Venn 1834-1923 ,[object Object],[object Object],[object Object]

George Boole 1815-1864 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Augustus De Morgan 1806-1871 ,[object Object],[object Object],[object Object],[object Object]

Basic Set Theory Definitions ,[object Object],[object Object],[object Object],[object Object],[object Object]

Simple Set Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Set Theory Notation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Set Notation: Defining Sets ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Set Notation Elements ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Subsets ,[object Object],[object Object]

Subset Relationships ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Set Equality ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Cardinality of Sets ,[object Object],[object Object],[object Object],[object Object]

Finite Set Cardinality ,[object Object],[object Object],[object Object],[object Object],[object Object]

Infinite Set Cardinality ,[object Object],[object Object],[object Object],[object Object]

Universal Sets ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Empty Set ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Power Set ( P ) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Special Sets ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Venn Diagrams ,[object Object],Universal Set Sets A & B

Venn Diagram Example 1 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Venn Diagram Example 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Venn Diagram Example 3 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Venn Diagram Example 4 ,[object Object],[object Object],[object Object],[object Object],[object Object],A = {1, 2, 6, 7}

Venn Diagram Example 5 ,[object Object],[object Object],[object Object],[object Object],[object Object],B = {2, 3, 4, 7}

Venn Diagram Example 6 ,[object Object],[object Object],[object Object],[object Object],[object Object],C = {4, 5, 6, 7}

Set Concepts

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