Antimetabole

Antimetabole is a rhetorical device in which words or phrases are repeated and reversed in grammatical structure.

John F. Kennedy: "Ask not what your country can do for you—ask what you can do for your country."

Benjamin Franklin: "Eat to live, not live to eat."

Malcolm X: "We didn't land on Plymouth Rock; Plymouth Rock landed on us."

William Shakespeare's Hamlet:

"Fair is foul, and foul is fair."

“You forget what you want to remember, and you remember what you want to forget.”