The above is of the old moral paradigm.Hume discusses the problem in book III, part I, section I of his book, A Treatise of Human Nature (1739):
In every system of morality, which I have hitherto met with, I have always remarked, that the author proceeds for some time in the ordinary way of reasoning, and establishes the being of a God, or makes observations concerning human affairs;
when of a sudden I am surprised to find, that instead of the usual copulations of propositions, is, and is not,
I meet with no proposition that is not connected with an ought, or an ought not.
This article demonstrate how Objective Natural Facts are linked to Objective Moral Facts in the modern era [new paradigm] linked to empirical evidences;
The above demonstrate how Objective Natural Facts are linked to Objective Moral Facts, but there are more advance and in depth considerations into the genes, algorithms and DNA that are corresponded to the objective moral facts.How Moral Facts Cause Moral Progress
The core assertion of Naturalistic Moral Realism is that Objective Moral Facts are Objective Natural Facts, in some sense.
Natural Facts are properties that can be investigated using the standard methods of the natural and social sciences (van Roojen 2015: 210).
In the literature on Naturalistic Moral Realism, there are two prominent accounts of the way in which Objective Moral Facts are Objective Natural Facts (cf. van Roojen 2015: 219 – 221).
According to one view, Objective Moral Facts are identical to Objective Natural Facts (cf. Railton 1986; Boyd 1988; Copp 2007: 137 – 142).
According to a second view, Objective Moral Facts are constituted by Objective Natural Facts (cf. Brink 1989: 157 – 159, 176 – 177; Sturgeon 1992: 98).
Identity is a symmetric relation: if x is identical to y, then y is identical to x.
However, constitution is not a symmetric relation: even if x constitutes y, it is not guaranteed that y constitutes x.
For instance: a mass of polyurethane may constitute a bowling ball, but a bowling ball does not constitute a mass of polyurethane.
The NRH [Natural Realism Hypothesis] is compatible with both theories of the relation between the Moral and the natural.