The myth of Daedalus and Icarus teaches several important lessons, primarily about the consequences of hubris and the need for self-awareness. Icarus, who flew too close to the sun despite his father Daedalus' warnings, symbolizes the dangers of overambition and disregarding limits. This myth cautions against excessive pride and illustrates the fundamental balance between aspiration and caution, emphasizing the importance of respecting limitations in one's endeavors.