For decades I've bought the line that we cannot create a square circle, for to do so would be logically contradictory. Nope, not anymore. Chuck Johnson drew one and wrote: "Such a circle has some of the characteristics of a circle, and some characteristics of a square. But on an absolute basis, it is neither a square nor a circle." And herein lies the rub. Whether or not we can create a square circle depends entirely on the definition of a square and a circle. Language matters. In my opinion the drawing in red is a square circle. It's likewise the case that A does not equal A.