Machine isn't capable of informal proof
A machine isn't capable of informal proof in the human sense. No matter how informal a machine's reasoning may appear to be, it will still be grounded in a formal system; so its informal proof's also formalisable, and subject to the Gödel procedure.
John Lucas (1988).
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Artificial Intelligence »Artificial Intelligence
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Are thinking computers mathematically possible? [7] »Are thinking computers mathematically possible? [7]
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No: computers are limited by Gödel's theorems »No: computers are limited by Gödel's theorems
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Improved machines »Improved machines
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Self-referential machines »Self-referential machines
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Gödelizing operator can defeat Lucas's argument »Gödelizing operator can defeat Lucas's argument
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A self-Gödelizing machine can still be out-Gödeled »A self-Gödelizing machine can still be out-Gödeled
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Informal proof »Informal proof
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Machine isn't capable of informal proof
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John Lucas »John Lucas
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