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The Logical Paradoxes and the Law of Excluded Middle

✍ Scribed by Priest, Graham


Year
0
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English
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141 KB
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Fiction

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The axiom of choice and the law of exclu
✍ John L. Bell πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 116 KB πŸ‘ 1 views

## 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