Indeed, there’s no point arguing with someone who doesn’t appreciate logic.
However, moral arguments are always logical. The issue is that they’re logical within their own frameworks. If others don’t accept those frameworks, the argument would appeal to them even though they’re logical.
Science operates like that as well — if you accept Kuhn’s views. If someone doesn’t accept science’s authority in moral discourse, there’s no way to appeal to them however ‘scientific’ or logical the argument may be.
Incommensurability is a very ubiquitous problem when it comes to discourse, moral or not. It’s a problem about authority and epistemic trust. We trust very different bodies of authorities and hence we subscribe to very different frameworks.
There are ways that we can reclaim these arguments, they’re not difficult at all. I’ll discuss them in future articles. Hope to catch you there!