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What's a good introduction to formal systems that have enough expressive power to refer directly to themselves (and not merely via Goedel numbering)? I need at least the necessity operator and existential quantification.

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Do you have an example of such a formal system? – Guillaume Brunerie Apr 8 2012 at 2:46

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http://en.wikipedia.org/wiki/Self-verifying_theories might be a good place to start.

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