## 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
โฆ LIBER โฆ
Excluded Middle versus Choice in a topos
โ Scribed by Bernhard Banaschewski
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 75 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
โฆ Synopsis
It is shown for an arbitrary topos that the Law of the Excluded Middle holds in its propositional logic iff it satisfies the limited choice principle that every epimorphism from 2 = 1 โ 1 splits.
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