No-true-identity: Any self-chosen identity is signalling, not true identification - but if challenged it means whatever the chooser claims.
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No-true-argument: Any claimed disagreement is a fault of the other side because, by Aumann agreement, if they were rational we'd agree.
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No-true-fallacy: Any fallacy is an indication of misunderstanding; if it were logically flawed, the speaker wouldn't have said it.
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what about saying things that are logically flawed, but have game theoretic utility if the said thing is taken as true?
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