Falseness, n.
The state of being false; contrariety to the fact; inaccuracy; want of integrity or uprightness; double dealing; unfaithfulness; treachery; perfidy; as, the falseness of a report, a drawing, or a singer's notes; the falseness of a man, or of his word.
Shades of meaning
Fernald lists falseness only as an antonym, under veracity.
He lists it without comment; the entries above explain its neighbors.
Synonyms
none given