The noun responsibility has 3 senses (first 3 from tagged texts)
1. (17) duty, responsibility, obligation -- (the social force that binds you to the courses of action demanded by that force; "we must instill a sense of duty in our children"; "every right implies a responsibility; every opportunity, an obligation; every possession, a duty"- John D.Rockefeller Jr)
2. (2) province, responsibility -- (the proper sphere or extent of your activities; "it was his province to take care of himself")
3. (2) responsibility, responsibleness -- (a form of trustworthiness; the trait of being answerable to someone for something or being responsible for one's conduct; "he holds a position of great responsibility")