Classifying poetry under 'beautiful sciences' solely on the basis of linguistic arbitrariness conflates the arbitrariness of the lexical sign with the non-arbitrary cognitive effects of poetic form.

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Beautiful sciences(as a traditional category for organizing academic disciplines): An old classification system that grouped subjects like poetry and rhetoric together because they were thought to produce aesthetic pleasure or elegance, rather than practical knowledge.
Cognitive effects(as produced by poetic form): Real impacts on how our minds work, think, or understand things—the actual mental consequences something produces.
Lexical sign(as a unit of language): A word or symbol in language; the term emphasizes that words are signs (they point to something) and that their meaning is often arbitrary or conventional.
Linguistic arbitrariness(as applied to how language works): The idea that the connection between a word and what it means is just a matter of convention or agreement—there's no natural reason why 'cat' refers to cats rather than dogs.

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