Set Theory

1 - About

A set has several interpretation:

  • the original set that does not allow duplicate
  • the multiset (also known as a bag) that allows duplicate

This section is about what's called the set theory (ie what rules and operations applied to a set of data).

Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived.

3 - Syntax

{ } are the standard notation for sets.

4 - Application

The most important application of set theory is the relational theory where a relation (ie a relational table, view) is:

And therefore all operations performed on a relation are also set operation.

5 - Visualisation

Set operations are visualized with venn diagrams

6 - Operation

Set Theory - Operator (Operations)

7 - Cardinality (Size)

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