So Hume could be a moral realist/objectivist or moral antirealist/subjectivist depending on the context and perspective we interpret Hume's morality.Hume’s moral thought carves out numerous distinctive philosophical positions.
https://iep.utm.edu/humemora/
Here is where Hume rejected the idea of inferring an 'ought' from an "is".He rejects the rationalist conception of morality whereby humans make moral evaluations, and understand right and wrong, through reason alone.
From a philosophical realist perspective. what "is" is an absolutely independent fact and any 'ought' [idea from a subject] from a fact is not a fact itself, thus there are no moral facts.
Therefore, morality cannot be objective in this sense.
Hume is a not a moral realist nor a moral objectivist.
If Hume's moral philosophy is naturalistic based on empirical theory of morality grounded on observation of human nature, then it can have a scientific basis.In place of the rationalist view, Hume contends that moral evaluations depend significantly on sentiment or feeling. Specifically, it is because we have the requisite emotional capacities, in addition to our faculty of reason, that we can determine that some action is ethically wrong, or a person has a virtuous moral character. As such, Hume sees moral evaluations, like our evaluations of aesthetic beauty, as arising from the human faculty of taste. Furthermore, this process of moral evaluation relies significantly upon the human capacity for sympathy, or our ability to partake of the feelings, beliefs, and emotions of other people. Thus, for Hume there is a strong connection between morality and human sociability.
Finally, the overall orientation of Hume’s moral philosophy is naturalistic.
Instead of basing morality on religious and divine sources of authority, Hume seeks an empirical theory of morality grounded on observation of human nature.
ibid
Since science is objective, Hume's morality grounded on the scientific basis is objective.
Thus Hume's morality is moral objectivity.
In this sense, Hume's is a supporter of moral objectivity,
in answering PH's
What could make morality objective?
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