Set Theory

Set Theory explores the fundamental concepts of sets, including operations, relations, and applications in mathematics.

Introduction to SetsSet OperationsSubsets and Power Sets
Relations and Cartesian ProductsFunctions as Special RelationsInfinite Sets and Cardinality
Set Theory in Computer ScienceSet Theory in Everyday LifeVenn Diagrams for Problem Solving
Using Venn Diagrams on TestsBreaking Down Complex Set Problems
Introduction to SetsSet OperationsSubsets and Power Se...Relations and Cartes...Functions as Special...Infinite Sets and Ca...Set Theory in Comput...Set Theory in Everyd...Venn Diagrams for Pr...Using Venn Diagrams ...Breaking Down Comple...
Practical Applications

Set Theory in Computer Science

How Computers Use Sets

Computers rely on set theory in many ways! Storing data, searching for information, and organizing files all use ideas from sets.

  • Databases use sets to group and retrieve information quickly.
  • Programming languages use sets to manage collections, like lists or arrays.

Set Operations for Problem Solving

Algorithms often use union, intersection, and difference to filter or combine data.

Example in Action

Searching for friends who like both ice cream and pizza? That's an intersection of two sets!

Examples

  • A search engine finds webpages containing all your keywords using intersection.

  • A social network suggests mutual friends using set intersections.

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Set Theory in Everyday Life