In my view, there are two main types of arguments we engage in...

1.) Arguing in an attempt to genuinely persuade someone for whom we have at least a modicum of respect, even if we're not going to agree 100% on everything

2.) Arguing as a way to illustrate the inanity of a person whom it's obviously we'll NEVER be able to persuade, no matter how much we hypothetically try to engage them in good faith -- and that discourse usually isn't about persuading them, but rather, persuading any observers so they won't be bullied into submission by the closed-minded person's rigidity