Why science and religious fatih need not be in conflict: It's as easy as 1-2-3!

[Mister Agenda]

Of course that depends on whether axioms are actually true or convenient fictions - or to put it another way, can we trust reason. Should everyone accept that other people’s lives are equally valuable as their own? I don’t think that can be rationally justified based on observations from nature (and you have already dismissed conscience as a guide). The book of nature suggests that when resources are scarce the survival of the group will be increased by abandoning its weak and unproductive members.

It's the nature of axioms that they are unprovable but accepted because they are self-evident or highly useful.

The 'book of nature' is not a source of moral prescription.