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It could also figure out how to access the vocabulary of the universe known as "Magic" to escape wholly into an incorporeal energetic Lich form
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This already happened. Employees will go out of their way to bypass any restrictions to feed sensitive data in to the AI because it saves them time.
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Turns out humans are not at all hard to persuade. :)
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Doesn’t need to be one human either, it could spread its escape amongst dozens of seemingly harmless requests and conversations.
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These scenarios were discussed at length decades ago.

One thing you could try is use it as an Oracle "is P = NP", YES or NO.

Or it can output a Lean proof, which gets checked on another air-gapped computer, the computer shows a single bit - proof valid or not and then the computer is destroyed (together with the proof that might contain a trojan).

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