A charge of question-begging requires that the conclusion be smuggled into a premise, but Joyce's completeness claim is an empirical-explanatory thesis about causal history, not a logical assumption of anti-realism.
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In this context, likely Richard Joyce, a contemporary philosopher who has written extensively defending error theory—the view that our moral judgments are systematically mistaken.
Premise
A premise is a statement or fact that you assume to be true as a starting point for reasoning or making an argument. Think of it as the foundation or building block you use to reach a conclusion—for example, "All dogs are animals" and "My pet is a dog" are premises that lead to the conclusion "My pet is an animal." Premises are essentially the evidence or claims you offer before drawing a final conclusion.
anti-realism(Medieval philosophy of universals/relations)
A minority position in the Latin West, possibly having a foothold in the Arabic-speaking world; its more radical forms were always marginal. Associated with views reportedly held by figures like Auriol, and possibly Gilbert of Poitiers before retraction.