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Feb 11, 2012 at 2:08 comment added Timothy Chow Goldstern is also showing that the meta-theoretic argument can be carried out on the basis of ZFC. Arguments are not "executed inside models." They proceed from axioms according to rules of inference, and are therefore syntactic and not semantic.
Feb 10, 2012 at 23:25 comment added Tobias Neukom Oh sorry I meant the answer by Goldstern not Stefan Hoffelner
Feb 10, 2012 at 23:14 comment added Tobias Neukom I don't quite get that, what about the Model (M,E) of ZFC in step one?
Feb 10, 2012 at 23:11 comment added Timothy Chow Well, I would phrase it as, he's taking the meta-theoretic argument and showing how it can be carried out on the basis of ZFC. No model M of ZFC enters the picture.
Feb 10, 2012 at 23:01 comment added Tobias Neukom Thanks for your answer! That's what Stefan Hoffelner is doing in his reply, isn't it? He is taking the meta-theoretic argument and executing it inside a model M of ZFC?
Feb 10, 2012 at 22:52 history edited Timothy Chow CC BY-SA 3.0
Added quote from Kunen
Feb 10, 2012 at 22:44 history answered Timothy Chow CC BY-SA 3.0