About: Hereditary set

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In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on.

Attributes	Values
rdfs:label	Hereditary set (en) 계승적 집합 (ko)
rdfs:comment	In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on. (en) 집합론에서, 어떤 모임 에 대한 -계승적 집합(繼承的集合, 영어: sets hereditarily in )은 에 속하며, 그 모든 원소도 에 속하며, 그 원소의 원소 등등 역시 에 속하는 집합이다. (ko)
dct:subject	Set theory
Wikipage page ID	3876230 (xsd:integer)
Wikipage revision ID	1106502758 (xsd:integer)
Link from a Wikipage to another Wikipage	Vacuously true Zermelo–Fraenkel set theory Empty set Set theory Well-founded relation Kenneth Kunen Hereditarily countable set Hereditarily finite set Transitive set Axiom of regularity Set (mathematics) Set theory Von Neumann universe Non-well-founded set theories Urelement Well-founded set
Link from a Wikipage to an external page	https://archive.org/details/settheoryintrodu0000kune%7Curl-access=registration%7Cauthor=
sameAs	Hereditary set Hereditary set Hereditary set Hereditary set Hereditary set
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Reflist dbt:Mathematical_logic
has abstract	In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on. (en) 집합론에서, 어떤 모임 에 대한 -계승적 집합(繼承的集合, 영어: sets hereditarily in )은 에 속하며, 그 모든 원소도 에 속하며, 그 원소의 원소 등등 역시 에 속하는 집합이다. (ko)
prov:wasDerivedFrom	wikipedia-en:Hereditary_set?oldid=1106502758&ns=0
page length (characters) of wiki page	2097 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hereditary_set
is Link from a Wikipage to another Wikipage of	List of set theory topics Zermelo–Fraenkel set theory Hereditarily finite set Hereditary property Information gain (decision tree) Von Neumann universe Pure set Pure sets
is Wikipage redirect of	Pure set Pure sets
is foaf:primaryTopic of	wikipedia-en:Hereditary_set

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