Which necessarily makes it incomplete following Gödel's incompleteness theorems. Here completeness refers to diversity: to maximize completeness is to encourage genetic (and memetic) variation. If society is consistent, such a proposition becomes absurd.
It's an interesting thought experiment, and I don't think the consistent state is reversible. Luckily it requires that all of the world (intelligentsia) agree on the same set of rules, so there's still time.
Taking this argument to the extreme: perhaps the reason we haven't met civilisations from other worlds is simply that they all made the same logical error once the tech was available.