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What is the word that means different yet same?

The word you're looking for is paradox.

A paradox is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or logically unacceptable conclusion.

Here are some examples of paradoxes:

* This statement is false. (If the statement is true, then it must be false, and vice versa.)

* The liar's paradox: A person says "I am lying." If they are telling the truth, then they are lying. If they are lying, then they are telling the truth.

* The Barber Paradox: In a village, the barber shaves all men who don't shave themselves. Who shaves the barber?

Paradoxes often involve concepts that are both similar and different, creating a sense of contradiction or absurdity.

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