This text intends to analyse the new version of Trasymachus’ thesis proposed by Glaucon and Adimantus in Republic II. Its aim is to understand its philosophical intentions and main aspects. We attempt to show that there is an important methodological change, related to a new terminology adopted to express Trasymachus’ thesis, and, most significantly, a new attitude of both interlocutors, especially Glaucon, towards the investigation, as we now find interlocutors presenting a philosophical way of understanding and investigating a philosophical problem.