Who said "Do cats eat bats?"?

This quote is attributed to Alice.

Do cats eat bats? - Alice

"Do cats eat bats?"

Alice

Character in Alice's Adventures in Wonderland

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"Who in the world am I? Ah, that's the great puzzle."

"Curiouser and curiouser!"

"It would be so nice if something made sense for a change."

"How queer everything is today!"