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Inconsistency of the Axiom of Choice with the positive theory ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151027054038588-0068:S0022481200011713_inline01.gif?pub-status=live)
Published online by Cambridge University Press: 12 March 2014
Abstract
The idea of the positive theory is to avoid the Russell's paradox by postulating an axiom scheme of comprehension for formulas without “too much” negations. In this paper, we show that the axiom of choice is inconsistent with the positive theory .
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- Copyright © Association for Symbolic Logic 2000