Mathematical language is lacking
In principle, human capabilities might be translated exclusively into recursive functions. But this begs the question whether such capabilities can be instantiated by automata—as we have no mathematical terminology to express such capabilities (yet).
Selmer Bringsjord, 1992.

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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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Yes: Automata can think »Yes: Automata can think
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Many human behaviors described algorithmically »Many human behaviors described algorithmically
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Mathematical language is lacking
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