This is a very vague sentence. What does "how those premises lead to their conclusion" mean?
A formal system?
If not a formal system, then I don't think "being right" is at all well-defined in this sentence. This case converges to the comment below on tractability, which I'll reply to shortly.
If you are referring to a formal system, then the rest of your comment actually is correct. But even in mathematics itself, codifying proof in a formal system is quite rare and practiced only by logicians, certain subfields of CS, and a few early adopters. edit: And, far more to the point, most arguments aren't and can't be mathematical in nature.
> Attacking that argument means pointing out flaws in the reasoning or the premises.
> I don't understand how the rest of your comment relates to argumentation.
The problem is that you're assuming arguments cost nothing -- in terms of money or effort -- to produce. But this simply is not the case. Even in the very best-case scenario of mathematics itself, proof search for even relatively trivial theories is incredibly costly (triple exponential). So even for tiny little factoids that are perfectly well-defined, constructing a valid argument can be intractable.
Now consider the more likely situation where the actual truth of the proposition is effectively unknowable (most of economics and politics) or very difficult to know a priori (a lot of modern science). The resources committed to producing argumentation is probably the most important indicator of the quality of arguments.
> It sounds more like a comment on marketing - and while marketing may use different arguments of varying quality, it is not in itself an argument.
Right, well, I claimed that a lot of marketing is argument construction. So yes, there are other aspects to most marketing as well. But argumentation is certainly part of it.
edit: various small mechanical errors, slight rewording of hastily written sentences.