

Suppose a bullshitter brings up a number of distinct Boolean claims and some tangled pile of connections between them, such that they hope to convince you that at least one connection is plausible. Without loss of generality, we can reduce this to 3-satisfiability in polynomial time: we can quickly produce a list of subconnections where each subconnection relates exactly three claims. Then, assuming the bullshitter is uniformly random, the probability that any particular subconnection is satisfied is 7/8. Therefore, if a bullshitter tries to overwhelm you with any pile of claims which sounds plausible, the threshold for plausibility has to be at least 7/8 in order to distinguish from random noise.



Currently, on Lobsters, folks are grappling with the fact that Leo de Moura got wrecked by chatbots. I decided to read his slides about Lean in 2026 and summarized my findings on Mastodon. It’s not just De Moura; I think that the entire Lean project is on shaky foundations and I think that the chatbots are making things worse by repeatedly reassuring the project leaders.