Last Updated
：2025/12/04
axiom of regularity
Noun
uncountable
Japanese Meaning
（集合論）公理の一つで、任意の非空集合には、その集合と交わりを持たない要素が存在するという命題と同値な公理。
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(set theory) One of the axioms in axiomatic set theory, equivalent to the statement that every non-empty set contains a member that is disjoint from that set.
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axiom of regularity
When studying set theory, I found that the axiom of regularity rules out infinitely descending membership chains.
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When studying set theory, I found that the axiom of regularity rules out infinitely descending membership chains.
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