Podbit · Hard Fork
At the Institute for Advanced Study, Kevin Hartnett met two top mathematicians in one afternoon with polar opposite views — one dismissed AI entirely, the other said it would make mathematicians obsolete in 2 years. Terence Tao, the most important figure in the field, sits in the middle: AI as an Iron Man suit for mathematical thought.
Where this was said
At 40:18 · chapter starts 36:00
The discussion of Erdős benchmarks builds to its climax: OpenAI's resolution of the unit distance conjecture. Hartnett explains what made this result different from the string of solved Erdős problems that preceded it. Other solved problems had been largely ignored by serious mathematicians — 'sophisticated riddles,' in Hartnett's framing — but the unit distance conjecture was one that many mathematicians had actively tried to solve, failed, and moved on from [1] — Kevin Hartnett "OpenAI's proof of the unit distance conjecture wasn't just another solved Erdős problem. Mathematicians had actually tried to crack it; the…" 38:20 . The methods OpenAI's model used were sophisticated, non-obvious, and genuinely surprising. Most importantly, the mathematical community agreed nearly unanimously that the result was publishable in the Annals of Mathematics, the top journal in the field. Hartnett describes the pattern that had developed before this proof: 'AI did this, but it can't do that. Oh, it did that? But still can't do this.' The unit distance conjecture proof ended that goalpost-shifting. AI, Hartnett concludes, 'can do absolutely top-tier research.'
OpenAI's proof of the unit distance conjecture wasn't just another solved Erdős problem. Mathematicians had actually tried to crack it; the methods were sophisticated and surprising; and the result was universally agreed to be Annals of Mathematics quality — the top journal in the field. This ended the goalposts-moving: AI can do world-class research.
The widely shared claim that we have a credit card's worth of plastic in our brains may be a massive overestimate. Researchers used nitrile gloves to measure microplastics — and nitrile gloves shed microplastic particles onto the measuring device. A second paper found the original tool used was unreliable, and that we may have far less plastic than reported.
RSD isn't just hurt feelings — it's a dopamine-deficient brain with a hyperactive amygdala and a frayed connection to the prefrontal cortex. Add a surge of norepinephrine and you get chest pain, sweating, and trembling that convinces your body something catastrophic is happening.
In Dan Ariely's door experiment, participants sacrificed the highest-reward door — repeatedly — just to avoid seeing other doors disappear. Even when researchers trained them to use the best door, they kept wasting clicks to maintain options. This is the bias that runs our lives: we'll take a worse outcome to preserve the feeling of optionality.
Dan Gilbert discovered that the brain has a 'psychological immune system' — it misremembers, reframes, and rationalizes to keep you satisfied with whatever you chose. The fear before commitment is all about potential regret. But after committing, your brain quietly starts justifying the choice — and the more irreversible the decision, the stronger the effect.
The psychological immune system can get you through the first few months of any commitment. But durable, long-term well-being requires self-concordance — choosing commitments that are genuinely aligned with your values and what you actually want. Without that alignment, the satisfaction fades fast.
Vision didn't just help animals find food — it ignited the Cambrian explosion of speciation. Half of the human cortex is devoted to visual processing, and that same visual hierarchy directly inspired the neural network architectures powering today's AI.
Peptides come loaded with a powerful narrative: regenerative, subcutaneous, targeted, cutting-edge. That narrative can genuinely move outcomes, especially for pain, energy, and recovery. The RCT's job is to quantify how much additional benefit comes from the molecule itself — above and beyond the compelling story surrounding it.
A pharmaceutical is not an amino acid sequence — it is the successful solution to manufacturing, purification, formulation, and consistency challenges. When clinical trials prove a drug works, they validate a specific product under specific processes, not every preparation that shares the same sequence.
Ask one question of any peptide advocate: what evidence would prove this claim wrong? If every disappointing result gets attributed to wrong dose, bad supplier, wrong timing, or improper stacking, the hypothesis is not falsifiable — and a non-falsifiable claim is not a scientific claim.
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