Such is the picture which Plato draws and which we only reproduce, partly in his own words, of the dangers which beset youth in times of transition, when old opinions are fading away and the new are not yet firmly established.

Their condition is ingeniously compared by him to that of a supposititious son, who has made the discovery that his reputed parents are not his real ones, and, in consequence, they have lost their authority over him.
The distinction between the mathematician and the dialectician is also noticeable.

Plato is very well aware that the faculty of the mathematician is quite distinct from the higher philosophical sense which recognizes and combines first principles.

The contempt which he expresses for distinctions of words, the danger of involuntary falsehood, the apology which Socrates makes for his earnestness of speech, are highly characteristic of the Platonic style and mode of thought.

The quaint notion that if Palamedes was the inventor of number Agamemnon could not have counted his feet; the art by which we are made to believe that this State of ours is not a dream only; the gravity with which the first step is taken in the actual creation of the State, namely, the sending out of the city all who had arrived at ten years of age, in order to expedite the business of education by a generation, are also truly Platonic.