FormerlyHemlock
Hero
I take back what I said earlier about this being ambiguous and thus up for interpretation. The above stated interpretation of the surprise rules on p. 189 of the PH is actually based on a propositional fallacy, an error in logic that concerns a compound proposition. The proposition in question, if I may paraphrase, is: if (A) a character or monster doesn't notice a threat, then (B) it is surprised. It does not follow that if A is false then B is also false, i.e.: if (not A) a character or monster notices a threat, then (not B) it is not surprised. This is called denying the antecedent, and it happens when the consequent (B) in an indicative conditional, like the statement above, is claimed to be false because the antecedent (A) is false.
It's not a fallacy when applied to the reading of rulebooks. When a rulebook says "If A then B", it means "If and only if A, then B, unless another rule applies which also imposes B." Rules are not intended to be read the same way as logical propositions.
If the rulebook says, "If you are reduced to 0 hit points, you die unless you make your death saves," the clear implication is that "As long as you are above 0 hit points, you are not dying [unless another rule applies]."