Could we say that in the current state of the human world there is always a way to create true statements based on arbitrary premises. I don't know if I want t

Could we say that in the current state of the human world there is always a way to create true statements based on arbitrary premises. I don't know if I want to enter into a Gödelian discussion. I would take responsability for the lack of rigour in this context (ala Sokal). The conclusion of the first incompleteness theorem is that the system is either inconsistent or incomplete. Politics is in the former.