Etymology
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rightness (n.)

"state or character of being right" in any sense, Old English rehtnisse, rihtnesse "uprightness, integrity," also the fact of being straight; see right (adj.1) + -ness. From 1560s as "correctness, accuracy." 

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Definitions of rightness

rightness (n.)
according with conscience or morality;
rightness (n.)
appropriate conduct; doing the right thing;
Synonyms: appropriateness
rightness (n.)
conformity to fact or truth;
Synonyms: correctness
rightness (n.)
conformity with some esthetic standard of correctness or propriety;
Synonyms: justness / nicety
From wordnet.princeton.edu