I don't follow you. What do you mean by "posit external sources for those values"?
Well, for example, fundamentalists posit their scriptures as external sources for their values. They see their values as coming not from themselves, but from divine revelation.
Values are facts as thoughts, as processes that occur in our brains, not as concepts that have a correspondence with the reality. "More social equality is desirable" is not a fact from the world, but a moral thought. Yes, it's a fact because it's happening in my brain, but Superman also happens in my brain and doesn't have a correspondence with reality.
Well, like Superman, values don't need to have a correspondence with reality.
But the scientific/biological approach begins with values-as-facts in themselves.
Here are our values, in all their strange variety.
Now, how do we make a moral choice between, say, the Taliban's custom of essentially treating women as men's property, on the one hand, and the modern Western approach of recognizing women as having equal (if not identical) rights with men?
Well, the Taliban point to their book to argue that their judgments are correct.
A bio-sci approach looks to science to determine that the brains of women and men are not different in any way that should make women suffer less from confinement, restriction, and being treated like property, much less being subject to punishments such as having their noses, eyes, and lips cut off for failing to conform to such treatment.
Are these two ways of viewing the question equally valid? Are they "arbitrary"?
No, and no.
They are not equally valid because scripture can say anything at all, and has a track record of being demonstrably wrong on all sorts of verifiable points, whereas science has demonstrably led to concrete advancements of knowledge and understanding of our world.
They are not arbitrary for the same reason.
So science cuts through both Gordian knots.
Moreover, science can help us understand why people do cling to scripture in the face of contrary evidence.
But it doesn't stop there.
Science helps us decide how to handle the situation in which these values clash. Just because science offers us an objective basis for our moral decisions, it does not follow from there that we can simply ignore the opinions of religious fundamentalists.
No, we must take them into account because they are a reality, and so we can use science to help us understand how to properly address a situation like religious persecution without inadvertently making the situation worse by being heavy-handed about it and simply ignoring human nature.
At every turn, science can inform our decisions and actions: the
is, the
ought, and the
should.