Where does our 'sense' of responsibility reside or come from?

We have, generally speaking, 5 senses: taste, touch, smell, sight, hearing. We also have other senses, like our sense of time passing, or feelings of vulnerability etc…. but where does our sense of responsibility come from? We all know what it is and know how it expresses itself throughout our lives, because we often are all too aware of the consequences. Where does it come from? Are we born with it, like sight or hearing? When do we feel it and what do we do with it? What is your ‘sense of responsibility?’