Abstract

AbstractA weak form of intuitionistic set theoryWSTlacking the axiom of extensionality is introduced. WhileWSTis too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that bee.ng upWSTwith moderate extensionality principles or quotient sets enables the derivation to go through. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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