Alogrithms are fixed interpretations
Humans can use conscious observation to step outside of an interpretation and think of alternatives and extensions. Algorithms, however, are inherently fixed interpretations. Thus no algorithmic account of the mind could ever be sufficient.
An algorithmic interpretation of the mind could never account for interpretative flexibility of conscious observation.

Peter Denning, 1990.
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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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Mathematical insight is non-algorithmic »Mathematical insight is non-algorithmic
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Alogrithms are fixed interpretations
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