I think you're missing the point of what arrogance is. Arrogance is not the same as being right and saying so. Arrogance is thinking you're right (whether you a

I think you're missing the point of what arrogance is. Arrogance is not the same as being right and saying so. Arrogance is thinking you're right (whether you are or not is irrelevant), and saying so in a way that demeans others. Most people don't take offense just because you're smarter than them. But almost everybody takes offense if you behave as if you're better than them, just because you're smarter. Again, being humble doesn't mean having a bad opinion of yourself, it means having a high opinion of others. It has nothing to do with not saying what you believe to be right just to avoid a confrontation. It has everything to do with respecting the other person and showing them that you do; it means listening to and engaging with them instead of steamrollering them with your "right" solution. (Who knows, your "right" solution may still profit from their input... Regardless, at the end of the day, you are not only more likely to have a better solution, you will have also have invested into good relationships - and that is worth a lot more.)