In addition, he also shows the significance of a teacher for Athenian youth through the analogy of horse trainers to argue only horse trainers have the ability to improve the horse (Apology, 20b). Thus, Socrates actually insists teaching youth and he believes teaching is very significant for the youth of Athens in his philosophy. On the other hand, Socrates claims again and again that he doesn't have the knowledge to teach someone (Apology, 20c; 20e; 21d). It seems like very factitious. However, we can feel the humbleness of Socrates. This is just the thing that he wishes to teach Athenian people. Through the conversations with people in different fields who has the reputation of outstanding wisdom, he observes that the people with high power and wealth tends to regard themselves as wiser people who know much more than ordinary people. However, Socrates finds this is not the truth. The truth is "those who [have] the highest reputation [are] nearly the most deficient, while those who [are] thought to be inferior [are] more knowledgeable" (Apology, 22:a). Socrates wants to let more people to be aware of the immensity of knowledge and realize the thing that they think they have already learned that but they don't exactly know yet. This is the philosophy of his teaching. He hopes people could become the pioneers like him to keep pursuing the right answer and always question about the "right answer". .
Furthermore, Socrates bravely challenges authority and power in order to teach Athenian people to have a correct attitude towards the knowledge they have known. First of all, Socrates does obey the rule in a certain extent: he "let[s] the matter as the god wish", "obey[s] the law and make[s] [his] defense" (Apology, 19a). However, when he believes something is questionable and injustice, he would bravely challenge that no matter it is the idea of God or from the public.