Hosts: Lenar Kess, Damra Vol. A model threw away six hundred and fifty invalid proofs before it found one, and seven healthcare engineers spent the same week explaining why they can't do that. The episode is about what a verifier costs in a domain where checking is as hard as answering.Fireship on the summer's machine-generated proofs — a secondhand but detailed account of the Anthropic Riemann run: 36 hours, 60 sub-agents, 650 discarded attempts. Formal verification made brute-force search viable, which is the whole trick.Dwarkesh Patel on research-and-development sufficiency — his claim is that you only need models good at R&D, not at everything. Lean proofs are what that looks like when it works.Jared Joselowitz on shipping Ufonia's Dora — 200,000 clinical calls across 20 UK hospitals, and the constraint that you can't A/B test a patient into the worse variant.Rashi Agarwal at Hinge Health — a system prompt isn't a security boundary; escalation to 911 and 988 lives in deterministic code above the model.Anterior on synthetic clinical data — roughly 90% of their training data is generated by reversing inference over decision-tree policies, because patient records can't be retained.Chai at Abridge — on some medical reasoning tasks the generator-to-verifier gap is nearly zero, which is exactly why the math trick doesn't transfer.Ted Lieu and Nathaniel Moran's kill-switch bill — bipartisan, and still unclear what the switch physically attaches to.Patricia Paskov on post-incident coordination — the response today is improvised, and there is no shared testing environment to rehearse in.Ornith-1.5, DeepSeek V4 Pro, and the r/LocalLLaMA reproduction — three open-weight drops, and 138 tokens a second on a power-limited RTX 3090 by evening.Claude's managed-agent domain allowlists — the direct mitigation for the delayed-payload attacks we walked through on Tuesday.