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Set Theory

Sets

• Unordered collection of objects
  • Repeated elements are listed once
• Set Builder Notation

Properties

• There is no order in a set

  • A set of 1,2,3 is the same as a set with 3,2,1

• Objects in a set

  • Elements/Members
  • Sets can have sets as elements

• Elements are usually part of a universal set / universe

• Represented through Set Venn Diagrams

• Size is Set Cardinality

Types

• Empty Set
• Power Sets

Related

• Subsets Leads to Russel’s Paradox

Homework

p. 134: 1,2,4,6,8 https://www2.isye.gatech.edu/~hsharp/math2420/set_proofs.pdf

Backlinks

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list from Set Theory

References: Set Builder Notation

Created:: 2021-07-05 18:07