Set Theory Vocabulary

This set of vocabulary flashcards covers fundamental definitions and symbols in set theory, including sets, elements, unions, intersections, and subsets as described in the lecture notes.

Set

A collection of distinct objects or elements, usually written with curly braces ${ }$ where elements are separated by commas.

Element

An individual object or member belonging to a set; the symbol ¬ means "is an element of."

Union (U)

The combination of all elements from two or more sets; it includes every element that appears in either set (or both), but each element is listed only once.

Intersection (N)

The subset of elements that appear in both sets at the same time, including only shared elements.

Distinct

Meaning all different with no repeating elements; sets do not list the same element more than once.

Subset

A set where all elements belong to a larger set (are contained within); the symbol ¬ means "is a subset of."