I think you got it in your last paragraph. Absolutely NOT social consensus as axioms, as that will result in stagnation and tyranny. Instead we must progress

I think you got it in your last paragraph. Absolutely NOT social consensus as axioms, as that will result in stagnation and tyranny. Instead we must progress gradually one axiom at a time through reasoning and experimentation. Truth is not what we decide it is, truth is what works. The universe decides what is true, not people. Re your comment: "but these are, I think, not enough". I both agree and disagree depending on what you mean. Fundamentally this approach is enough, but practically we haven't developed our understanding enough to map out absolute truth. It's probably something we can only approach but never reach. But in theory the right AI system could allow us to approach the faster