The inference shows that the main purpose of writing the essay was to describe the benefits she got from getting to know Whitman.
An inference simply means the conclusion that can be deduced based on the information presented in a literary work.
In this case, the main purpose of writing the essay was to describe the benefits she got from getting to know Whitman through his work.
Furthermore, the organizational design supports the idea of Oliver as she's trying to insinuate her writings and thoughts by Whitman's work.
Oliver supported the idea that Whitman was her friend as she was into Whitman's books that she spent most of her mornings reading them. She succored the idea that he was her friend through his poems.
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