The 'small improvement argument' shows that genuine incomparability entails violations of transitivity, which undermines the coherence of any preference structure claimed to constitute practical wisdom.

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Preference structure(as used in decision theory and economics): The organized system of what you like or value more or less—basically, the pattern of your choices and rankings.
Small Improvement Argument(Used to establish that some options are on a par or incomparable rather than equal in value): An argument form showing incomparability: if A is neither better nor worse than B, and A+ is better than A, but A+ is not better than B, then A and B are not related by any of the standard trichotomy of relations (better than, worse than, equal to) relative to the relevant evaluative considerations V.
coherence(Applied uniformly by Bosanquet to both religious and non-religious truth claims.): The standard by which truth is assessed — a belief or system of beliefs is true insofar as it forms a consistent, internally unified whole.
incomparability(Presented as a feature the view can accommodate, not a defect.)

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