[baddox]

It's logically fine to reject axioms. You could argue, for example, that torture is morally good because you disagree with the axiom that suffering is bad. That's logically consistent, and logic alone is built on axioms and therefore cannot discern which axioms are "better."

[jacquesm]

The solution for that is to reverse positions and have the consequences of your logic performed on you.

In a good system you don't care on which side of the ledger you're on, which is something that that same logic would allow you to deduce.