Etymology
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openness (n.)

"state or property of being open," Old English opennes; see open (adj.) + -ness.

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Definitions of openness

openness (n.)
without obstructions to passage or view;
the openness of the prairies
openness (n.)
characterized by an attitude of ready accessibility (especially about one's actions or purposes); without concealment; not secretive;
Synonyms: nakedness
openness (n.)
willingness or readiness to receive (especially impressions or ideas);
Synonyms: receptiveness / receptivity
From wordnet.princeton.edu