  Yet another alternative is that detailed logical analysis of the Deductions reveals arguments sufficient to establish both that the one is and, importantly, that principles such as Purity-F and Uniqueness are false. As Rickless (2007, 136–137 and 211) argues, Purity-F is a background premise of both D1 and D4. Taken together, then, D1 and D2 are sufficient to establish that a contradiction follows from the hypothesis that the one is, on the assumption that Purity-F is true. That is, D1 and D2 together entail that if the one is, then Purity-F is false. But D5 and D6 together entail that the one is. It then follows directly that Purity-F must be false. (Gill (2014) argues that the result of D1 and D8, taken together, is that the one must be acknowledged to be both one and many.  She also thinks that Plato means for his readers to recognize that the same acknowledgment is needed to overcome the problematic results of D4.) Moreover, D2 contains an argument for the claim that if the one is, then there are infinitely many forms of oneness.  Given that the one is (thanks to D5 and D6), it follows directly that there must be more than one form corresponding to the property of being one, and hence that Uniqueness is false. (Rickless (2007, 238–239) also argues that the second part of the dialogue provides sufficient reason to reject No Causation by Contraries.)