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Jan 19, 2018 at 20:41 comment added Zuhair Al-Johar Yes, it is interesting, I remember I read his dual world approach with his axiom of reducibility. It is nice.
Jan 19, 2018 at 17:16 history edited Zuhair Al-Johar CC BY-SA 3.0
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Jan 19, 2018 at 11:51 comment added Thomas Benjamin You might want to take a look at Harvey Friedman's manuscript "Axiomatization of Set Theory by Extensionality, Separation and Reducibility", found on his homepage under the "Downloadable Lecture Notes" section to see what can happen when one removes certain axioms from $ZF$. Very interesting.
Jan 19, 2018 at 10:09 history edited Zuhair Al-Johar CC BY-SA 3.0
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Jan 19, 2018 at 9:59 history edited Zuhair Al-Johar CC BY-SA 3.0
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Jan 18, 2018 at 17:40 history asked Zuhair Al-Johar CC BY-SA 3.0