Objective Morality, Anyone?

[Mudhammam]

Everything relies on subjective axioms which can't be proven. But math can be tested.
How can moral axioms be tested if you can't even find a common ground? It's all preferences.
How is bullying wrong for instance? Can you prove that bullying is wrong? Sure you can say that it causes harm to the bullied but how can you prove that his well being is important for the species? It was around forever and humanity as a whole doesn't get affected much.

You can't prove that any more than you can prove that math is a language to describe how external objects interact. I could always assume that reality is nothing more than my conscious experience of it. Sure 2+2 seems to equal 4 to me but I can't prove that your mental computation of numbers is exactly like mine. I can always chalk agreement between us to my bias towards the model of reality I've created (how do I know "red" appears to you as "red" appears to me?).

The term bullying, if we are to strip it of any meaning, is neither good nor bad. Yet what is explicitly meant by the term necessarily carries with it negative connotations. Keeping this in mind, "bullying is bad" is tautologous.

Of course, I don't think morality is objective. Only if we first agree on what morality ought to represent can then we find an objective approach to discussing it.