Column: These Apple researchers just showed that AI bots can't think, and possibly never will — Apple’s AI researchers gave these AI systems a simple arithmetic problem that schoolkids can solve. The bots flunked.

we humans can see that the Gödel statement is in fact true, but because of Gödel’s result, we also know that the system’s rules can’t prove it—the system is in effect blind to something not covered by its rules.4 Truth and provability pull apart. Perhaps mind and machine do, as well. The purely formal system has limits, at any rate. It cannot prove

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An artificial intelligence system trained on words and sentences alone will never approximate human understanding...

Classical computer science, of the sort practiced by Turing and von Neumann and everyone after, manipulates symbols in a fashion that we think of as algebraic, and that’s what’s really at stake.