Paradoxical (adjective)

1. Containing or resembling a paradox; self-contradictory.
2. Appearing contradictory or absurd but actually expressing a possible truth.

Origin:

From the noun "paradox" + -ical.

Examples:

1. It is paradoxical that the more you try to avoid failure, the more likely you are to experience it.
2. The scientist's explanation of the phenomenon was paradoxical.
3. The old man's words were paradoxical, but they made perfect sense.
4. The behavior of the child was paradoxical, he was both shy and outgoing.
5. The paradoxical thing about the situation was that it was both true and false at the same time.