Idea-series (from Twitter)

[endymions_bower]

What if the Academic "idea-numbers" are not, indeed, mathematical numbers, as has always been recognized, but in a more radical sense? That is, what if they are "idea-series", giving arithmos that wider sense, replacing the old notion of ideas in isolation? Such a series is comprised of units that are incomparable, hence can only be differentiated in disposition (taxis, thesis). *We* assume that the Platonists are talking about "numbers" in the sense familiar to us, but *those* are clearly mathematicals. And since mathematical numbers are emphatically distinguished from "idea-numbers", maybe we should take that distinction more seriously. I'm basically suggesting a thought experiment, reading "series" everyplace in Plato or Platonists that the term arithmos ("number") appears. What better complement to a theory of pure units than a theory of pure series?