The unwanted ambiguity objection. Suppose that we respond to the principled basis objection by letting many flowers bloom. That is, suppose we argue that there is no single correct description associated with the name but there are many. We now run into the teeth of the problem of unwanted ambiguity. Are there really that many different names, each corresponding to an different description? If so, why does ‘Aristotle was Aristotle’ seem so much less informative than ‘the teacher of Alexander the Great was the leading influence on Saint Aquinas’?