User blog comment:KthulhuHimself/Norminals Revisited./@comment-26428969-20151210184122/@comment-1605058-20151215134026

The main difficulty in formalizing this in SOST is getting defining a connection between [ψ] (which is a number encoding some formula) and the truth of formula ψ for a given assignment t. This is a very non-trivial task, and this is where one needs to use quantification over predicates. I don't really have an idea on how long such sentence would be after unraveling into SOST, but I bet it would be at least a few thousand characters.