So what about the cases when the distance is too large, when the gap simply cannot be bridged? Well in those cases, we will simply have to fight to keep pushing our own moral intuitions to as many people as possible, and hope that they will end up having more influence than the unacceptable intuitions.

We're not stuck with our moral intuitions, unless we have "faith" that they're "true."

1. Doesn't it seem odd, Kaj_Sojala—even irrational—that we should push our "moral intuitions" when that's all they are: intuitions—which don't describe any reality, which aren't intuitions about anything?

2. We can change our "moral intuitions" rationally—although the mission isn't one of finding "truth". Our standards of personal integrity respond to our adaptive needs, and we can help change them in the interest of rational adaptation. They are not, even for us, "ultimate moral values."