As the subjectline states, I am wondering what phase is.
Phase is the temporal relationship between waves. Not to be confused with polarity which is an electrical relationship.
A good example to illustrate the difference between polarity and phase is a balanced connection: there are three wires in a balanced connection, hot, cold and ground, the cold wire contains the same signal as the hot wire, but the signal the signal is inverted (i.e. the polarity is reversed). When the signal reaches its destination, the hot and cold are combined, but the cold is re-inverted so that the signal doesn't cancel itself out. The reason balanced connections are designed this way is because it provides superb interference rejection, any noise that is picked up cancels itself out when hot and cold are recombined. This would be much harder to accomplish if the hot and cold were out of phase, because phase, being a temporal relationship, would require a time delay to put one signal 180 degrees out of phase with another, and to add to the difficulty, the amount of delay needed changes with frequency.
As a side point, reversing polarity is almost universally referred to as reversing phase, although this is incorrect, it is accepted because we usually know what is being referred to.