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by goodtraveler
1517 days ago
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Because if an algorithm is capable of setting up the conceptual machinery for making sense of and explaining Cauchy's integral formula then that algorithm is revealing something about the structure of the human brain and as such it would be a good benchmark for understanding how human intelligence actually works (not just in the 1% of people). Moreover, mathematics is a fantastic proving ground for testing algorithms that purport to explain symbolic intelligence because if something can not work in a mathematical setting/context then there is no hope it will ever work in the real world since real world intelligence is much more than symbol shuffling. Cauchy's integral formula is a reasonable proxy for proving understanding of symbolic systems and not just juggling their statistical properties/associations. If you think that Cauchy's integral formula is too complicated then there are probably simpler problems that would also serve as reasonable proxies of symbolic understanding, e.g. elementary group theory and linear algebra. |
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