We can actually deduce here that the statement by W. H. Auden, "What a poem means is the outcome of a dialogue between the words on the
page and the person who happens to be reading it; that is to say, its meaning varies from person to person” means that the reading of a poem by someone is like a conversation between the person and the poem. Thus, the message varies because what one person gets from it might be different from another.
Poem actually refers to a written work of art that actually showcases the poet's point of view and which is written most times in a figurative language and style. Poems are usually used to communicate various forms of themes to poem lovers.
We see here that the above statement made above shows how reading a poem is like a interaction going on between the reader and the poem.
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