While the generally accepted definniton of the word is a statement that is impossible while being perhaps not untrue, there is another, more widely,usable instance of the word.
Simply put, a "paradox" can also be used to
mean two doctors.
"I went to the hospital
today. While I was speaking to a nurse, a paradox
came running down the hall. Turns out they were late for a game of golf with the mayor."