1. the quality or state of being paradoxical; the characteristic of containing or involving a contradiction or seemingly absurd statement that may nonetheless be true
Usage: abstract noun derived from paradoxical; formal register

Examples

• The paradoxicalness of the situation struck everyone: the more he tried to hide, the more visible he became.
• She appreciated the paradoxicalness of his advice—to succeed, you must not care about success.
• The paradoxicalness of quantum mechanics challenges our everyday intuitions about how the world works.
• Critics noted the paradoxicalness of a freedom fighter who restricted others' liberties.
• The novel's power lies in the paradoxicalness of its central character: both hero and villain.
• Scientists grapple with the paradoxicalness of light behaving as both particle and wave.