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[[File:Empty set symbol.png|thumbnail|200px|right|[[Empty set]] symbol]]
[[File:Empty set symbol.png|thumbnail|170px|right|[[Empty set]] symbol]]
In [[set theory]], the '''empty set''', usually denoted <math>\emptyset</math>, is the set without any members. For example, the "set of all blue-eyed lions," the "set of all mermaids," and the "set of all people born in 1700 who are still alive" are all empty sets.
In [[set theory]], the '''empty set''', usually denoted <math>\emptyset</math>, is the set without any members. For example, the "set of all blue-eyed lions," the "set of all mermaids," and the "set of all people born in 1700 who are still alive" are all empty sets.