Quote 1
The Red Queen shook her head. "You may call it 'nonsense' if you like," she said, "but I've heard nonsense, compared with which that would be as sensible as a dictionary!" (Looking-Glass 2.58)
Maybe the real joke here is that dictionaries aren't particularly sensible anyway. After all, there's no scientific law that says a sound should mean a specific thing – all the rules of language are arbitrary.
Quote 2
"We gave you the opportunity of doing it," the Red Queen remarked: "but I daresay you've not had many lessons in manners yet?"
"Manners are not taught in lessons," said Alice. "Lessons teach you to do sums, and things of that sort."
Alice separates intellectual from moral lessons – and people still debate what role schooling should play in one's moral or humanistic education. What do you think?
Quote 3
Here the Red Queen began again. "Can you answer useful questions?" she said. "How is bread made?"
"I know that!" Alice cried eagerly. "You take some flour – "
"Where do you pick the flower?" the White Queen asked. 'In a garden or in the hedges?"
"Well, it isn't picked at all," Alice explained: "it's ground – "
"How many acres of ground?" said the White Queen. "You mustn't leave out so many things." (Looking-Glass 9.43-47)
This reminds us of those thought exercises where you imagine being stranded on a desert island. Even though we're advanced 21st century people, few of us would be able to make all the things we want or need. The queens quiz Alice on her practical knowledge and quickly show her how much explanation and skill is necessary for something relatively simple, like making bread.