The discussion centers on the relationship between a wave's source and its speed and direction. It is established that a source cannot push or pull a wave since it is not matter, meaning it cannot affect the wave's speed. However, the motion of the source can influence the direction of the wave, as demonstrated with light traveling through a moving glass fiber. The conversation also touches on the principles of relativity, asserting that the speed of light remains constant regardless of the source's motion. Ultimately, the consensus is that while a source's motion can alter the wave's direction, it does not impact its speed.