I think the way I would define fair (and obviously this is somewhat a value judgement rather than objective fact) is that: I don't think its unjust that a CEO gets payed more than a line worker, but when the company succeeds then I think the increase in profits should be divided up such that the ratio of their incomes stays about the same.
Also, when I say "just" I don't mean that in an extreme way where if profits aren't divided up 100% fairly then employees are oppressed wage slaves. Even if my ideal system where implemented things would still be subjective. For example, what if my employer implemented very generous benefits but didn't pay quite as well?
I'm already on board with eliminating poverty! Don't tell me "hiking the minimum wage is the right thing to do and the economics will work itself out", show me the math that says we can do it without inadvertently creating more poverty.