Gödel sentences sufficiently self-referential
Gödel sentences by themselves aren't self-referential, but recognising their truth requires us to see them as self-referential. Machines lack this ability to see Gödel sentences as self-referential—so can't recognise the truth of Gödel sentences.
John Lucas (1971).
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Artificial Intelligence »Artificial Intelligence
Are thinking computers mathematically possible? [7] »Are thinking computers mathematically possible? [7]
No: computers are limited by Gödel's theorems »No: computers are limited by Gödel's theorems
Gödel shows machines can't be fully conscious »Gödel shows machines can't be fully conscious
Gödel sentences are not self-referential »Gödel sentences are not self-referential
Gödel sentences sufficiently self-referential
John Lucas »John Lucas
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