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#solovay_model

Solovay model

Set theory construction

In the mathematical field of set theory, the Solovay model is a model constructed by Robert M. Solovay in which all of the axioms of Zermelo–Fraenkel set theory (ZF) hold, exclusive of the axiom of choice, but in which all sets of real numbers are Lebesgue measurable. The construction relies on the existence of an inaccessible cardinal.

Sat 10th

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Solovay model Robert M. Solovay Non-measurable set Measure problem Vitali set Lebesgue measure Axiom of dependent choice Axiom of countable choice Parity function Solovay–Kitaev theorem
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