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What does Coleridge's phrase "Things identical must be convertible" mean in Biographia Literaria?

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Coleridge's phrase "Things identical must be convertible" in Biographia Literaria means that if two things are truly identical, each should be able to replace the other. He illustrates this with the example that being awake and asleep are not identical because one cannot interchangeably experience them. Coleridge uses this concept to argue against Wordsworth's claim that poetry and prose are essentially the same, highlighting distinct expressive qualities in poetry.

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In the Biographia Literaria, Samuel Taylor Coleridge uses the phrase "Things identical must be convertible" to mean that if one identifies two things as being the same, each must be able to stand in place of the other. The example Coleridge gives to clarify this idea is that sleeping and being awake are not identical. When people are sleeping, they often dream and believe that they are awake. However, people who are awake do not believe that they are asleep. Both propositions would have to be true for sleeping and being awake to be convertible and therefore identical.

Coleridge uses this principle to illustrate what he regards as a key difference between prose and poetry. He opposes Wordsworth's view that there is no essential difference between poetry and prose except for the technical matters of meter and rhyme. Instead, he argues that there are "modes of expression, a construction, and an order of sentences" that occur in poetry but would be out of place in prose.

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