Von dieser legendären Begegnung gibt Dion Chrysostomos in seiner 4. Abhandlung Περὶ βασιλείας einen längeren Bericht, in dem Diogenes dem erstaunten Alexander u.a. beweist, daß er, Alexander, ein Bastard (ὑποβολιμαῖος) sei:

So when the king said, "What gave you the idea of calling me a bastard?" he replied, "What gave it? Why, I hear that your own mother says this of you. Or is it not Olympias who said that Philip is not your father, as it happens, but a dragon [δράκων] or Ammon or some god or other demigod or wild animal? And yet in that case you would certainly be a bastard [καίτοι οὕτως ὑποβολιμαῖος ἂν εἴης]."

(a.a.O. 19)