#REDIRECT [[Hierarchy#Containment hierarchy]]
A '''containment hierarchy''' is a [[hierarchical]] collection of strictly nested sets. Each entry in the hierarchy designates a set such that the previous entry is a strict superset, and the next entry is a strict subset. For example, all rectangles are quadrilaterals, but not all quadrilaterals are rectangles, and all squares are rectangles, but not all rectangles are squares.
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A [[taxonomy]] is a classic example of a containment hierarchy:
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* In geometry: [[shape]], [[polygon]], [[quadrilateral]], [[rectangle]], [[Square (geometry)|square]]
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* In biology: [[animal]], [[bird]], [[bird of prey|raptor]], [[eagle]], [[golden eagle]]
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* The [[Chomsky hierarchy]] in formal languages: recursively enumerable, context-sensitive, context-free, regular
* In physics: [[subatomic particle|particle]], [[elementary particle]], [[fermion]], [[lepton]], [[electron]]
== See also ==
* [[Cladistics]]
* [[Hierarchy (mathematics)]]
[[Category:Hierarchy]]
[[Category:Classification algorithms]]
[[Category:Set families]]
[[Category:Taxonomy]]
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