I'm not sure what "axioms" you're referring to, but "inequality" is usually not considered bad. What is more often considered bad is "inequity", which is what

I'm not sure what "axioms" you're referring to, but "inequality" is usually not considered bad. What is more often considered bad is "inequity", which is what prevents a lot of people from earning a good, decent life. Some people work very hard in life and don't make any major bad decisions, and still have a hard life. Other people work little and have a good life. There's both inequality and inequity in this picture, but they're not the same thing. What people object to is not mere inequality: inequality is expected to exist anywhere money exists. What people object to is "excessive inequality", or distributions of wealth where the Pareto coefficient is "too extreme". The reason why this is bad is because it effectively makes the "American dream" impossible for nearly everyone, in the extreme case.