Are there two forms of the fallacy of division?
The fallacy of division incorrectly assumes that the properties of a whole apply to its parts.
Its counterpart is the fallacy of composition, which assumes that the properties of parts apply to the whole. These are not two forms of the same fallacy but distinct and essentially opposite errors.
The fallacy of division could also be compared to the ecological fallacy, which similarly involves making assumptions about the parts from the whole. However, the ecological fallacy applies strictly to the misuse of statistical data.