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RobbBB comments on Building Phenomenological Bridges - Less Wrong
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This is obviously false. An agent's model can most certainly include an exact description of itself by simple quining. That's not to say that quining is the most efficient way, but this shows that it certainly possible to have a complete representation of oneself.
The paragraph you quoted is saying that a map can't have a subregion that depicts the entire map in perfect detail, because this would require an infinite sequence of smaller and smaller maps-of-maps.
One solution to this is to make the sub-map incomplete, e.g., only depict the source code. Alternatively, an AI can build an external replica of itself in perfect detail; but the replica isn't a component of the AI (hence doesn't lead to a regress). An external replica can be used as a sort of map, but it's not a representation inside the agent. It's more like a cheat sheet than like a belief or perception. In many cases it will be more efficient for the agent to just look at a component of itself than to build a copy and look at the copy's components.