 In the standard collection of the fragments and testimonia of the Presocratics, Cercops, Petron, Brontinus, Hippasus, Calliphon, Democedes, and Parmeniscus are listed as older Pythagoreans (DK I 105–113). Hippasus, who is the most important of these figures, will be discussed separately below (sect. 3.4). Of the rest only Brontinus, Calliphon and Parmeniscus appear in Iamblichus’ catalogue.