Normative work includes constraining which contradictions are permissible: a principle that rules out some contradictions while allowing others still performs objective normative work.

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Objective normative work(as used in metaethics and philosophy of logic): Real, meaningful action taken by a principle or rule that creates actual standards or requirements, not just someone's personal opinion.
contradiction(Relevant to distinguishing contradictions from false contingent statements in the logic student variant of the preface paradox.): A statement that is necessarily false in all interpretations; in this context, specifically the negation of a tautology or any falsehood drawn from a list containing only tautologies and contradictions.
normative(in ethics and philosophy): Relating to how things should be or what people ought to do, rather than just describing how things actually are.
permissible(deontic logic / possible worlds semantics): A proposition p is permissible if and only if p holds in some i-acceptable world

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Normative work includes constraining which contradictions are *permissible*: a principle that rules out some contradictions while allowing others still performs objective normative work.