Loading subject…
A standard, on this prompt, is the dimension along which you claim one body of knowledge beats another, stated tightly enough that somebody could disagree with your verdict without changing the subject. Better is not a standard. "Predicts the timing of an eclipse to within a minute" is one, and so is "covers the cases the earlier scheme had to treat as exceptions".
Acknowledging a circular argument does not repair it. To strengthen the comparison, identify evidence that could count against your preferred account, such as a prediction that failed or a result another method could not reproduce.
Look for imprints, edition numbers, calibration records or dated archive captures. These can help establish which information was available when an object was made. If the object is undated, other evidence may still establish its context.
There is a pull towards making the past look foolish, because a dim past makes the improvement look large. It costs you the argument: once the earlier position is a caricature there is nothing left for the current one to have beaten, and a reader who knows the period stops trusting the rest of the commentary.
A constructed comparison for analysis: two records of the same coastline, one older and hand-surveyed, the other recent and satellite-derived. Suppose checks against known positions favour the recent record, while the older one preserves harbour-depth information omitted from the new one. The judgement changes with the standard; in a real case, the dates and survey methods alone would not establish those results.
Which criterion of improvement does each commentary use, and why? What evidence tests the earlier and current accounts? Have you judged earlier knowers in light of what they could check? If there were gains and losses, how do they affect your conclusion?