"A cat may look at a king," said Alice. "I've read that in some book, but I don't remember where." (Wonderland 8.58)
Every time Wonderland seems to provide some kind of philosophical wisdom ("a cat may look at a king," or, in other words, "it's free to look") it's immediately undercut. Alice knows she's read this idea somewhere, but she doesn't know who said it or why it might be true.
Quote 32
Alice was glad to see that it revived him a good deal. "There's nothing like eating hay when you're faint," he remarked to her, as he munched away.
"I should think throwing cold water over you would be better," Alice suggested: " – or some sal-volatile."
"I didn't say there was nothing better," the King replied. "I said there was nothing like it." Which Alice did not venture to deny. (Looking-Glass 7.24-26)
Extreme literalism is one kind of absurdity that's very common in Wonderland and Looking-Glass World.
Quote 33
Alice replied eagerly, for she was always ready to talk about her pet: "Dinah's our cat. And she's such a capital one for catching mice, you can't think! And oh, I wish you could see her after the birds! Why, she'll eat a little bird as soon as look at it!"
This speech caused a remarkable sensation among the party. […] On various pretexts they all moved off, and Alice was soon left alone.
"I wish I hadn't mentioned Dinah!" she said to herself in a melancholy tone. "Nobody seems to like her, down here, and I'm sure she's the best cat in the world!" (Wonderland 3.45-47)
Alice's faux pas is funny at first – oops, mentioning a cat's hunting prowess to birds and a mouse! But then we realize that, since these animals can think and talk, we're really talking about murder.