Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Set-builder notation
open-in-new
<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a> and more specifically in <a href="/facts/Set_theory/1ptfsvUP">set theory</a>, set-builder notation is a <a href="/facts/Mathematical_notation/vHgEE8cE">notation</a> for specifying a <a href="/facts/Set_(mathematics)/BfucfHMq">set</a> by a property that characterizes its members. </p><p>Specifying sets by member properties is allowed by the <a href="/facts/Axiom_schema_of_specification/FVgjEBfT">axiom schema of specification</a>. This is also known as set comprehension and set abstraction. </p>