Creativity testing as it is now done is often based on a defective assumption that different kinds of creativity can be compressed into a single unidimensional scale. There is no reason to believe that the different kinds of creativity represent, simply, different amounts of a single unidimensional construct. The article shows how three different ways of viewing creativity lead to different ways of measuring creativity, all at variance with current unidimensional models. The point of view presented here does not suggest that current creativity tests are invalid, but rather, that care must be taken in the nature of claims made for them. Moreover, many of the same arguments could be applied to the measurement of intelligence and even wisdom as well.