Is it categories themselves that are arbitrary or the set of items belonging to a category are arbitrary? Do you mean that the meaning of a statement is imprecise in that it is vague or ambiguous? Or do you mean that the way that humans employ language to convey concepts is imprecise?<p>You are thinking like a psychologist or a linguist. I&#x27;m not denying that many people view this is a tedious and seemingly silly thing to argue about but you can&#x27;t metaphorically just throw up you hands and claim that it doesn&#x27;t matter as a valid counter argument when you are doing philosophy.