“Tom, your statement is true but completely irrelevant.”
There’s nothing in the AIXI math prohibiting it from understanding self-reference, or even taking drugs (so long as such drugs don’t affect the ultimate output). To steal your analogy, AIXI may be automagically immune to anvils, but that doesn’t stop it from understanding what an anvil is, or whacking itself on the head with said anvil (ie, spending ten thousand cycles looping through garbage before returning to its original calculations).
“Tom, your statement is true but completely irrelevant.”
There’s nothing in the AIXI math prohibiting it from understanding self-reference, or even taking drugs (so long as such drugs don’t affect the ultimate output). To steal your analogy, AIXI may be automagically immune to anvils, but that doesn’t stop it from understanding what an anvil is, or whacking itself on the head with said anvil (ie, spending ten thousand cycles looping through garbage before returning to its original calculations).