> "we can know that the AI's string look up table will be finite." If the AI's lookup table is finite, then we can just feed it its whole lookup table and ask

> "we can know that the AI's string look up table will be finite." If the AI's lookup table is finite, then we can just feed it its whole lookup table and ask it to say something that hasn't already been said. (This will take considerably less time than if its lookup table is infinite ;) ) Granted, many humans would probably just tell you where to stick it, so perhaps an AI could be programmed with that response and be indistinguishable from the average human. But in principle, whether the AI's lookup table is finite or not, it's possible to construct a query that requires it to go outside of its lookup table.