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How to stop burning yourself out
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You can't be derivative if you don't create at all
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Parity survives random restrictions — the closure property that lets the Furst-Saxe-Sipser depth reduction iterate, and what other functions share it
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Building equality checkers, multiplexers, and memory registers from bare logic gates — toward classifying what neural networks can compute
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Carry-lookahead addition in constant depth, iterated sums, and a full proof that parity is not in AC0 — why shallow circuits with unbounded fan-in still can't count
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From a card trick to a theorem — how permutation groups encode boolean logic, why state tracking is NC1-complete, and what that means for transformers
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Culmination never arrives in the big moments — it finds you at the espresso machine.
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A letter written at eighteen, opened ten years later on the eve of a wedding.
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When you can afford everything and have nothing to sacrifice, you stop knowing what you value.
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Three hidden costs of founding a company — poverty of validation, poverty of presence, poverty of money — and how to make peace with each
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We extend tremendous care to our friends but rarely direct it inward.
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Why smart people plateau — the moment you stop coasting on intellect and realize no one else is coming to choreograph your life