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And Yet It Understands

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In high-dimensional vector spaces, numerical optimization is omnipotent.

To think is to forget differences, to generalize, to abstract. — Jorge Luis Borges, Funes el memorioso The Lord knoweth the thoughts of man, that they are vanity. — Psalm 94:11 Someone, I think Bertrand Russell 1 , said we compare the mind to whatever is the most complex machine we know. Clocks, steam engines, telephone relays, digital computers. For AI, it’s the opposite: as capabilities increase, and our understanding of AI systems decreases, the analogies become more and more dismissive. In 1958, when Herbert Simon introduced his General Problem Solver , he famously said: “there are now in

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