[floatrock]

Not a mathematician and it's been a number of years since I read GEB, but my rough takeaway of the incompleteness is self-referential systems are magical because they can create statements that can't be proven in that system. "This sentence is false" or "Can God create a burrito so hot He cannot eat it" and all that.

So if Wheeler is saying the universe comes out of quantum observation, then the connection seems to be a self-referential Strange Loop of consciousness/observation/participation along the lines of "we're just the universe observing itself"

[cosmic_dust9]

Wouldn't that be a limitation of language rather than the ability to form concepts?

[floatrock]

Again, not a mathematician so I'm likely butchering all this, but my layperson's understanding is Godel showed there's a kind of equivalence mapping between english language and mathematical symbolic language. It's all just information juggling (and you can use the equivalence to translate things you can prove with mathematics into the other trickier languages).

So if sub-matter quantum-woo is just information juggling, then it's the ability to have self-referentiality that makes for some interesting properties.