Considering the Godel sentence is a purely syntactical construction, I think even Godel himself would have a very difficult time even imagining what an analog w

Considering the Godel sentence is a purely syntactical construction, I think even Godel himself would have a very difficult time even imagining what an analog would be in some higher system (much less actually constructing one). This is why he was so critical of attempts by others (e.g. Wittgenstein) to knock down the theorem by discussing its philosophical implications.