Convention is to describe standard residential service as single phase but there are certainly legitimate arguments in calling it either single or two phase. If one looks at the waveforms with a dual-trace oscilloscope, with the probe grounds on electrical ground and one probe on each hot, the oscilloscope will display two phases. The obsolete system known as "two phase", which was used in the subway system in Philadelphia among other places, might more accurately be called a degenerate 4-phase system. It is really two independent "single phase" circuits with a relative phase of 90 degrees. I recently went through this argument with one of my company's electricians. He was mocking the company RF circuit design engineers for their terminology. I explained to him that his terminology, while the convention among electricians, was entirely arbitrary.