Here's a mind-bender: "This statement is false." If you think it's true, then it must be false, but if you think it's false, it must be true. Now, that's a paradox!
A paradox is a logical puzzler that contradicts itself in a baffling way. "This statement is false" is a classic example, known to logicians as "the liar's paradox." Paradoxical statements may seem completely self-contradictory, but they can be used to reveal deeper truths. When Oscar Wilde said, "I can resist anything except temptation," he used a paradox to point to our fundamental weakness to give in to tempting things (like chocolate or a pretty smile), all the while imagining that we can hold firm and resist them.