False Dichotomy This fallacy involves arbitrarily reducing a set of many possibilities to only two. For example, evolution isn’t possible, so we must have been created (which assumes these are the only two possibilities). This fallacy can also be used to oversimplify a continuum of variation to two black-and-white choices. Science and pseudoscience are not two discrete entities, for instance; the methods and claims of all those who attempt to explain reality fall along a continuum from one extreme to the other.