If beauty were necessarily grounded in nonaesthetic properties, one could always coherently ask 'but is it beautiful?' of any nonaesthetic description, showing the entailment fails.

?Rate how convincing each reason is below to see the overall strength.

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Coherently(as describing how these functions work together): In a way that is logically consistent and doesn't contradict itself.
Necessarily: "Necessarily" means something must be true in all possible situations—it's not just true right now, but couldn't be false under any circumstances. For example, "2+2=4 necessarily" means there's no possible way 2+2 could equal anything other than 4. This contrasts with "contingently" true facts, like "it's raining today," which happen to be true but could have been false.
entailment(Conceptualist framework): Understood in terms of truth at a world
grounded in(whether distinctness or identity is explained by intrinsic features): To be explained by or to have its reason or basis in something else—like how a tree being wet is grounded in (explained by) recent rain.
nonaesthetic properties

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