Problem #PRU-100282

Problems Discrete Mathematics Set theory and logic Mathematical logic

Problem

Now! – said the Hatter. – you might just as well say that “I see what I eat” is the same thing as “I don’t eat what I don’t see”!

– You might just as well say, – added the March Hare, –that “I like what I get” is the same thing as “I don’t get what I don’t like”!

– You might just as well say,– added the Dormouse, which seemed to be talking in its sleep, – that “I breathe when I sleep” is the same thing as “I don’t sleep when I don’t breathe”!

– It is the same thing indeed,– said the Hatter, and here the conversation dropped.

Do you agree with them? Why?