How do you arrive at an acceptable secular morality, especially since science claims that it cannot speak to morality?
But science also teaches us that humans have a set of common, shared values, and while they may be arbitrary in general, they're not arbitrary to us. And they're shared, because humans are not isolated minds, each coming to existence ex nihilo, but in fact are connected through the process of reproduction. All of us have brain architecture we've inherited from a common ancestor.
This is how science can point us where to look for some practical morality.