Just how polysemious is that text?

Is that even a word? Oh well, here's some good insight into answering the question:

I tap Eco for a variety of reasons. He was among the first theorists to emphasize the reader in a clearly postmodern way, but unlike more radical reader-response theories, he contends it is the text that is interpreted, not the reader’s drives. As a result, Eco is able to account for the potential multiple interpretations of a text, and provides a moderate postmodern theory that allows for textual polysemy without capitulating to the idea that texts can be made to say whatever the reader wants.— Reading the Way to Heaven, page 120–21

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I like that...
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