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Empty set (view source)

Revision as of 22:11, June 22, 2024

188 bytes added ,  22:11, June 22, 2024
An example of a null set is the set of Democrat politicians and Dem-appointed judges who ever vote or rule against Planned Parenthood. This an empty set that has no members.
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[[File:Empty set symbol.png|thumbnail|170px|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.
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An example of a null set is the set of [[Democrat]] politicians and [[Dem]]-appointed judges who ever vote or rule against [[Planned Parenthood]].  This an empty set that has no members.
    
The empty set is unique, because any two empty sets have precisely the same members (that is, none) and is a [[subset]] of every other set.   
 
The empty set is unique, because any two empty sets have precisely the same members (that is, none) and is a [[subset]] of every other set.   
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