Hereditary

Disambiguation

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Hereditary may refer to:

• Hereditary system of sets - a collection of sets, [ilmath]\mathcal{H} [/ilmath] with the property: [ilmath]\forall A\in\mathcal{H}(\forall B\in\mathcal{P}(A)[B\in\mathcal{H}])[/ilmath] where [ilmath]\mathcal{P}(S)[/ilmath] denotes the power set of [ilmath]S[/ilmath].
• Hereditary set - a set that only contains other sets