[icebraining]

There's nothing objective about picking and applying an arbitrary principle, though.

Also, it's not true that a moral relativist must have no values. One can have values while believing they are not objective, but closer to preferences held very strongly.

[kareemsabri]

A moral relativist may have values, but moral relativism does not. It claims all values are subjective, as OP did.

[apoverton]

I think your last sentence gets at what I was trying to get across