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Replaced "regularity" with "extensionality", as it was intended.
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Scott showed that ZF minus the axiom of regularity is interpreted by ZF minus the axioms of regularity and extensionality.

Is Ackermann set theory interpreted by Akermann set theory without regularityextensionality?

Scott showed that ZF minus the axiom of regularity is interpreted by ZF minus the axioms of regularity and extensionality.

Is Ackermann set theory interpreted by Akermann set theory without regularity?

Scott showed that ZF minus the axiom of regularity is interpreted by ZF minus the axioms of regularity and extensionality.

Is Ackermann set theory interpreted by Akermann set theory without extensionality?

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Ackermann set theory without extensionality?

Scott showed that ZF minus the axiom of regularity is interpreted by ZF minus the axioms of regularity and extensionality.

Is Ackermann set theory interpreted by Akermann set theory without regularity?