It does mean that [agent()==2] is false, but that allows proving statements like [agent()==2 ⇒ world2()==U] for any value of U, which breaks our algorithm. If we use Goedel diagonal (chicken) rule of performing an action whenever it’s proven that this action won’t be performed, that guarantees that an action can never be proven to be impossible, unless the reasoning system is compromised.
It does mean that [agent()==2] is false, but that allows proving statements like [agent()==2 ⇒ world2()==U] for any value of U, which breaks our algorithm. If we use Goedel diagonal (chicken) rule of performing an action whenever it’s proven that this action won’t be performed, that guarantees that an action can never be proven to be impossible, unless the reasoning system is compromised.