Two Pythagorean theorems:
“join” at the high level, and at the eme level
[ Coarse graining at the high level comes from giving the same name to all elements of the cloud ]

At the intermediate stage, one can end up with very metamathematically distinct pieces ... so an observer conflating these will be confused that they are seeing the principle of explosion....

Given that the proofs are so far apart, you believe they won’t converge

Branchial computational irreducibility

Can the paths be brought together / conflated