Paradox

noun

1. An apparently self-contradictory statement, which can only be true if it is false, and vice versa.

   ""This sentence is false" is a paradox."

2. A counterintuitive conclusion or outcome.

   "It is an interesting paradox that drinking a lot of water can often make you feel thirsty."

3. A claim that two apparently contradictory ideas are true.

   "Not having a fashion is a fashion; that's a paradox."

4. A thing involving contradictory yet interrelated elements that exist simultaneously and persist over time.
5. A person or thing having contradictory properties.

   "He is a paradox; you would not expect him in that political party."