Badiou and the Mysteries of Poetry

In the reading from Inaesthetics (both Chs. 1 and 2), Badiou seems to make the bold claim that art creates truths that are both unique and announced by the work of art itself. On his reading, this is a theory of art that has not yet been advanced.

The second chapter focuses on poetry and the kinds of truth(s) it announces. To this end, Badiou states: "We could therefore equally assert that for philosophy, poetry is a thought that is not a thought, a thought that is not even thinkable. But the sole stakes of philosophy are precisely to think thought, to identify thought as the thinking of thought itself."

First and foremost, what does he mean by this? Secondly, how does this align with what he has been saying in Chapter 2 and, even further, in Ch. 1?

I have other questions regarding this, but I'll save them for now...