Abrac
I think I'm gonna have to take back what I said about a numbered sequence having no meaning for Waite. Rereading the paragraph we're now dealing with, it looks like he's saying there are two methods—numerical and random—and he simply disagrees with Mathers’ and Papus’ conclusions and methods. It’s clear from his comment on Strength, “For reasons which satisfy myself, this card has been interchanged with that of Justice, which is usually numbered eight.” that the order held special significance.