Instance of: mathematical model

AKA: empty set; singleton; infinite set

Distinct from: list

English: A set is a collection of elements with no ordering, e.g. \(\{1,2,3\}=\{3,2,1\}\).


Roster notation \[ A=\{4,2,1,3\} \] Abbreviation with ellipsis \[ A=\{1,2,3,...,1000\} \] Infinite sets beginning and or ending in ellipsis \[ A=\{1,2,3,...\} \]

\[ A=\{...,-3,-2,-1,0,1,2,3,...\} \]

Semantic definition uses a natural language rule to determine which elements belong in a set

Let A be the set whose members are the first four positive integers.

Let B be the set of colors of the French flag.

Set-builder notation

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