Abstract
Various proponents of Cultural Theory have claimed that CT's Impossibility Theorem, namely that there are precisely five viable ways of life, has been formally proved. In this paper, I show that the Impossibility Theorem has not been formally proved and present a refutation of the Impossibility Theorem. With regard to, the problem areas identified include a failure to take into account the analogical nature of their theory and also a failure to carefully consider the nature of the relationship between mathematical models and the empirical phenomena that they are supposed to model. With regard to, an empirically grounded description of a distinct, sixth viable way of life, here called the Philosophical way of life, is presented. Second, a general argument is presented that demonstrates the necessity of positing a sixth form of rationality and a sixth viable way of life in addition to the five rationalities and five ways of life recognized by CT.