I would have thought that continuity was way more controversial
You’re not alone. I heard Abram say that continuity is probably/perhaps the most controversial vNM axiom in a talk at ILIAD 2024 (not recorded, I’m afraid). More recently (as of Aug 2025, private conversation), he was up for rejecting both continuity and independence, and going with something more Infra-Bayesian-ish as a general basis for decision theory / utility theory.
You’re not alone. I heard Abram say that continuity is probably/perhaps the most controversial vNM axiom in a talk at ILIAD 2024 (not recorded, I’m afraid). More recently (as of Aug 2025, private conversation), he was up for rejecting both continuity and independence, and going with something more Infra-Bayesian-ish as a general basis for decision theory / utility theory.