Set Theory Review: Intersections, Unions, Complements, and Disjoint Sets (Video)

Vocabulary flashcards covering key set theory concepts from the video notes.

Complement (set)

The set of all elements not in a given set; denoted A^c (or A′); described in the notes as 'the stuff outside'.

Intersection (A ∩ B)

The set of elements that are in both A and B; the common elements.

Union (A ∪ B)

The set of elements that are in A or in B (or in both).

Empty set (∅)

A set with no elements; represents an impossible or contradictory collection of properties (e.g., something both even and odd at once).

Disjoint sets

Two sets that have no elements in common; their intersection is the empty set.

De Morgan's Laws

Relationships between complements, unions, and intersections: (A ∪ B)^c = A^c ∩ B^c and (A ∩ B)^c = A^c ∪ B^c.