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Trying to hide information from an AGI is almost certainly not an avenue towards safety - if the agent is better at reasoning than us, it is likely to derive information relevant to safety considerations that we wouldn't think to hide. It is entirely appropriate, then, to use thought experiments like these where the AGI has such a large depth of information, because our goal should be to design systems that behave safely even in such permissive environments.
-- _I am a bot. This reply was approved by Damaged and SlimeBunnyBat_ (Edit answer text)