I’ve also found that some other anti-realists are extremely confident (though not certain) that consequentialism is true, though it’s an open question how often this is reasonable.
I don’t understand this. To quote a guy from LessWrong:
“While I guess this could be logically possible, anyone who is not a moral realist needs to provide some kind of explanation for what exactly a normative theory is supposed to be doing and what it means to assert one if there are no moral facts.”
Also, I think positions one, two, and four are in fact compatible with consequentialism. That said, your post is still useful since, whatever terminology we may use to describe them, these issues happen to be important.
Like which ones?