 There was, it appears from a text also preserved by Simplicius (in his commentary on the Physics, Diels 1882, 247.30–248.20, from Hermodorus, an early associate of Plato’s), an internal connection between these ‘old academic categories’ and the One and the Indefinite Dyad. The One was the heading over the category of things that are ‘by virtue of themselves’: such things are standalone entities, one thing. The Indefinite Dyad was the heading over the category of relatives: such a term refers to an indefinite continuum pointing in two directions. All this is referred to Plato, not Xenocrates, but if Xenocrates accepted Plato’s later theory, or at least some of it, he presumably accepted this as well, and saw in Aristotle’s proliferation of categories a threat to the basic two principles he shared with Plato.