Strictly speaking, can you even have any exchange of value without a third party, though? The money has to come from somewhere at first - the government, or in

Strictly speaking, can you even have any exchange of value without a third party, though? The money has to come from somewhere at first - the government, or in the case of gold, a third party who dug it up. I think your argument is ad reductio. Without third parties who exchange money for something, money itself cannot exist. So the concept of money "strictly without any third party at all" doesn't make much sense.