Then you should be able to demonstrate their existence using logic.
Funny how you said you "support them", not that you recognize them or believe they exist.
You should be able to refute their existence with logic. Go.
Actually if we wanted to use pure logic to argue, we would need to agree on a set of nonlogical axioms (yet to be defined) to couple with our logical axioms (quantifier rules, relation rules, demorgan's law, etc) and definitions to connect our syntax to a semantic standard. What is justice? When everyone's rights are respected and penalties are imposed on those who violate the rights of others. Right? So how do we decide what rights are? We all must agree. But how do we know that our decision won't be influenced by our own particular interests? This is the purpose of the veil of ignorance.
Setarcos obviously has nothing of value to contribute, except his supposed "refutations" of everything everyone else says. The fact is that justice is not in the beginning a logical matter. Once we have principles, we can proceed logically to decide what is just, but until then we must debate philosophy. I think that we agree that the principles of justice must supercede any particular government. In fact, governments should not be formed which vary too widely from the principals of justice, for they will not endure. Whether those principles supercede society is still under debate, but without society we are all absolutely free so I would argue that equal freedom still applies although justice obviously does not prevail.