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Mathematics LibreTexts

13: Sets

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It is natural for us to classify items into groups, or sets, and consider how those sets overlap with each other. We can use these sets understand relationships between groups, and to analyze survey data.

  • 13.1: Basics of Sets
  • 13.2: Union, Intersection, and Complement
    Commonly sets interact. For example, you and a new roommate decide to have a house party, and you both invite your circle of friends. At this party, two sets are being combined, though it might turn out that there are some friends that were in both sets.
  • 13.3: Venn Diagrams
    To visualize the interaction of sets, John Venn in 1880 thought to use overlapping circles, building on a similar idea used by Leonhard Euler in the 18th century. These illustrations now called Venn Diagrams.
  • 13.4: Cardinality
  • 13.5: Exercises

Thumbnail: Inclusion/exclusion for three sets. (CC BY-SA 3.0; unknown via Wikipedia).


This page titled 13: Sets is shared under a CC BY-SA 3.0 license and was authored, remixed, and/or curated by David Lippman (The OpenTextBookStore) via source content that was edited to the style and standards of the LibreTexts platform.

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