Post by Vishal Misra

RKS Family Professor of Computer Science and Vice Dean at Columbia University, Founder at Ask Here First, Inc

Pi is maximally complex by one measure. Trivially simple by another. Shannon entropy says pi is incompressible - the digits look random, no pattern, infinite surprise. Kolmogorov complexity says pi is trivial - the generating program is four lines. Deep learning optimizes Shannon entropy. That is why it is extraordinary at what it does. It is also why it will never find G_μν = 8πT_μν. Einstein didn’t fit a better curve through Mercury’s data. He asked what kind of universe would make the anomalies disappear. That question - abductive, causal, generative - is the question (current) AI cannot yet ask. Two days ago Don Knuth published a note about Claude solving an open combinatorics problem. Claude found the pattern across 31 explorations. Knuth wrote the proof over a weekend. That division of labor is not anecdotal. It is structurally predicted. This is a preview of a conversation I recorded today with Martin Casado for the Andreessen Horowitz AI podcast, releasing next week. Full post: https://lnkd.in/e-GZE8Nm

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