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Jul 22, 2012 at 11:38 comment added Mirco A. Mannucci Thanks David! I have heard about AST before, but frankly I know nothing about it. In your ref, there is a great survey paper by Steve Awodey, so, I will start from there.
Jul 22, 2012 at 10:37 comment added David Roberts Compare algebraic set theory, where there is a monad $ZF$ on a 'category of classes' such that free algebras for this $ZF$ are precisely models of ZF(C). See e.g. ncatlab.org/nlab/show/algebraic+set+theory and references there.
Jul 21, 2012 at 20:59 history edited Mirco A. Mannucci CC BY-SA 3.0
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Jul 21, 2012 at 20:15 history edited Mirco A. Mannucci CC BY-SA 3.0
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Jul 21, 2012 at 18:51 history answered Mirco A. Mannucci CC BY-SA 3.0