 Clarke’s version of the Achilles argument rests on two principles. The Homogeneity Principle says that “a power can really inhere in a composite only if it is of the same kind as the powers of the parts” (Vailati 1993, 395). Strictly, the Homogeneity Principle only applies to the first category of qualities (Rozemond 2009, 180). The Composition Principle says that “the properties of the parts will sum to the same properties of the whole (and that the properties of the whole can be divided into the parts)” (Uzgalis 2011, 23). William Uzgalis finds versions of the Homogeneity Principle in Cudworth and Bayle, and in all three cases it is used to argue that thought or consciousness cannot arise from motion or figure because they are not of the same kind. A less often discussed variation on Clarke’s core argument (but see Rozemond 2003, 182ff) is that “figure, divisibility, mobility and other such like qualities of matter” cannot produce conscious thought (a real power) because they are “not real, proper, distinct, and positive powers, but only negative qualities, deficiencies, and imperfections,” which appeals to the principle that there can be no perfection or power in the effect that is not in the cause (D 41, W 2.545).