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From what does the law of the excluded middle follow?

✍ Scribed by V. Ya. Kreinovich


Publisher
Springer US
Year
1977
Tongue
English
Weight
466 KB
Volume
8
Category
Article
ISSN
1573-8795

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## Abstract 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 quoti