Yes, something along the lines of "I made a mistake" or "what I did was wrong". I am not talking about accidentally bumping someone and saying sorry; those real

Yes, something along the lines of "I made a mistake" or "what I did was wrong". I am not talking about accidentally bumping someone and saying sorry; those really are shallow and just about being polite. So here is an example of how I want to to say "sorry" to others. I was rude and not contributing to the conversation: https://news.ycombinator.com/item?id=29835478 https://news.ycombinator.com/item?id=29835478