Thanks,
.
Firstly, just to be sure, what I am suggesting here is that your approach of introducing modalities into the discussion serves not to clarify but to further complicate the issues around morality.
I'll illustrate his with a few examples from your post.
That's because "H2O" and "water" are rigid designators that refer to the same thing. — Michael
Rigid designation works primarily with individuals. "Michael" refers to Michael in every possible world in which Michael exists. But H₂O and water are kinds, not individuals. Whether "H₂O" and "water" rigidly refer to H₂O and water is a contentious issue. This is leaving aside the problem of whether to differentiate kinds such as these from predicates such as
green, or whether
green should be considered a kind and
...is green a predicate, and so on. On top of that we have the problem that "immoral" ranges over actions, and it is not entirely uncontroversial that actions are individuals of the sort that can be referred to rigidly.
is perhaps saying something along these lines.
If ethical non-naturalism is true then "immoral" and "harmful" are not rigid designators that refer to the same thing. — Michael
This doesn't quite follow, both because "immoral" and "harmful" might be neither individuals nor kinds, and because as mentioned in previous posts "immoral" and "harmful" might well be set up as extensionally equivalent - for example, consequentialists might well do this. It's one way they try to negate the open question.
Considering deontic logic, is OA → ◻OA an axiom?
If it is, is it an axiom by choice or by necessity? — Michael
Neither: p⊃☐p not even valid. That's why it was interesting and controversial. That water is always H₂O was found to be true by observation, but thereafter, after Kripke, seen as a
necessary truth - necessary a posteriori...
Again, there is a lot more going on here than one might suppose, and introducing alethic modality doesn't help.
Secondly, the presumption that differences must be observable has been addressed elsewhere, with Anscombe's shopping list. The list complied by the cash register as it rings off your items may well be identical to the shopping list in your hand, of items you intended to purchase. While there may be no observable difference between the two lists, there is a profound difference in terms of what we do with each.
Hence,
I believe that it is immoral to eat meat. I eat meat. If my belief is true then... what? If my belief is false then... what? In either case I just eat meat. — Michael
is in a sense numb to the issue. There is a
profound difference, for the vegetarian.
That numbness apparently extends to your general approach here. You are asking for an observable difference where the difference at hand is on of attitude, of intent. Making observations is using the wrong tool.
Thirdly, your strategy of asking for motivation is... problematic. At some stage, ratiocination must be replaced by action. And this will happen
even if there is no reasoned account for the action. Buridan's Ass will not starve, it will eat.