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Inner model
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==Related ideas== [[Gödel|Kurt Gödel]] proved that any model of ZF has a least inner model of ZF, the [[constructible universe]], which is also an inner model of ZFC + [[Generalized Continuum Hypothesis|GCH]]. There is a branch of set theory called [[inner model theory]] that studies ways of constructing least inner models of theories extending ZF. Inner model theory has led to the discovery of the exact [[consistency strength]] of many important set theoretical properties.
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