Just a moment...
https://statmodeling.stat.columbia.edu/2025/09/05/generate-but-verify-reconciling-the-evidence-utility-of-chatbots-in-many-settings-with-chatbots-evident-lack-of-understanding/
Indeed, I think that various attempted totalizing philosophies of statistics are flawed by trying to merge the steps of generation and verification. Two such totalizing philosophies that I don’t like are the idea of constructing uncertainty statements (“confidence regions”) by inverting hypothesis tests