OK, I understand the distinction. What I am interested in discussing is whether universal moral laws objectively exist and what is their source. I assume you aren’t contending that they exist because of the universality of moral laws.
I’m not sure what you’re asking about here. Maybe this will help?: Putative moral laws exist and if these are truly moral laws, they have the property of universality, i.e., of being unconditionally binding in each and every situation to which they apply (we affirm this simply from their analytic definition and/or from the conceptual structure of the institution of belief by which we apprehend them). There are no good reasons to doubt that many of the putative moral laws we apprehend are objectively grounded (true moral laws) and many good reasons to think that they are objectively grounded (in our institutions of reason-giving and the basic conceptual structures by which we grasp reality). Therefore, there is no reason to believe that they are merely grounded in personal preferences and it is unreasonable to think that they are so grounded.
You might object: but why not accept Anti’s alternate ‘basic conceptual structure’? It’s novel and unintuitive, sure; but why not? Well, why would we do that? So that we can defend rapists and murderers? No, that’s not what Anti wants. So rapists and murderers can justify themselves to themselves? Unfortunately, that is what Anti’s position implies, but that doesn’t seem to be his
stated motive. So why? It’s so we can grasp
reality as it really is - that’s the claim I’m hearing, at least. But what makes Anti think that this is the way reality really is? Perhaps he admires his own humility in not imposing
his personal categories of reality on ‘objective’ reality? But that can’t be it; that’s exactly what he’s doing. Do you have anything to suggest? What do you think motivates Anti’s position?
All claims stand in need of justification. What I am asking for is an explanation for why the claim that morality objectively exists is any more logical than the claim that it doesn’t.
So now you are using the property “more logical” as your basis for making existential claims? I’m not sure how that is supposed to work. “What is logic?” is one of those fascinating questions. I think that logic in the broad sense is the “gathering
of (subjective and objective genitive) being.” Let’s just say here that the logic of existence is phenomenology - that is the gathering of the being that appears, that shows itself to us as itself (sorry if that doesn’t mean much to you - try to meditate it

). When we apprehend really existing things it is a matter of our being open to having them show themselves to us,
as something. One particular mode of appearing
as something is appearing as the instantiation of particular concepts, so mastery of concepts allows things to appear to us. One of the things that appear to us is our practical mastery in the domain of morality, our ability to reflect upon our preferences and to form judgments on their basis. Judgments are not preferences, they are practical (action-directed) axioms based on our preferences, and they can be, qua judgments, public statements of value, and therefore public practical axioms. Moral judgments, then, instantiate the possibility of public practical axioms in a particular way, namely as unconditionally binding imperatives in terms of which we recognize and interact with the collection of features of reality that we call moral - virtue, vice, right, wrong, good, bad, admirable, base, beautiful, ugly. These ways of apprehending reality are not proposed to the individual such that she can agree to see the world in these terms or not. When we look at our own capacity for understanding what is, these are objectively constituted categories of reality that are
given to us and transcend, contextualize, give meaning to, our personal preferences.
Quote:
- in other words, if someone chooses not to be moral, they are choosing to be immoral, not amoral,
This assumes that morality exists (otherwise all choices would be amoral regardless of what we thought of them) but that is the very point we are debating.
I’m not assuming morality exists - I’m pointing out the rules governing moral categories. These rules
show that (and how) morality exists - and of course they are not people, so they are unable to
assume morality exists (and of course no individual invents them as a matter of personal preference).