Mathematical Logic Quarterly 54 (2):194-201 (2008)
A weak form of intuitionistic set theory WST lacking the axiom of extensionality is introduced. While WST is too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that bee.ng up WST with moderate extensionality principles or quotient sets enables the derivation to go through
|Keywords||Axiom of choice law of excluded middle axiom of extensionality weak set theory|
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