Philosophically, this was important because it marked a first step towards developing language so that is could be better used to help define reality. It challenged philosophers of the time to search for superior ways to use speech and "names" (in the Greek meaning of the word) to more precisely define the things they are referring to. The concept of dual logoi and orthos logos was also of great importance politically. It allowed for the average Athenian to become more successful with rhetoric as a tool of debate, thus introducing the possibility of the ordinary man reaching a successful position in politics. This was a great stride democratically, as now a great portion of the populous can be actively involved in the government as well as in political debates and discussion.
Stemming from these simple concepts came the creation of Sophistic relativism. The central notion of Sophistic relativism is that every perception is in fact true. It is best stated by Protagoras in the statement "Man is the measure of all things." This implies that factual contradictions are not possible, as the truth is completely subjective. There would be no need for correction or to label anything false, but rather there would only be differing perceptions of what the truth is. Once again though, there are some serious contradictions within these beliefs. The first lies in the concept of dual logoi. At first they would seem to agree, as both states there is no universal truth. Despite this, it is clear that in Sophistic relativism there can be no contradictions, while with dual logoi there is specifically a need for two contradictory logos. By stating that in relativism there cannot be a contradiction, we seem to reach a contradiction between the two doctrine. It would seem the Sophists did not adequately think their positions through. An even greater contradiction can be found in the statements stating that is impossible to label something false and that everything perceived must be true.