 This glorification of calculation is reminiscent of Plato’s praise for “geometrical equality” in the Gorgias (507e6–508a8) and Plato may be thinking of Archytas Fr. 3 (Palmer 2014: 205–6; Huffman 2013: 259–61). The emphasis on equality (isotas) and fairness (to ison) suggests that Archytas envisages rational calculation (logismos) as heavily mathematical. On the other hand, logismos is not identical to the technical science of number (logistic – see 3.2 above) but is rather a practical ability to understand numerical calculations, including basic proportions, an ability that is shared by most human beings. It is the clarity of calculation and proportion that does away with the constant striving for more (pleonexia), which produces discord in the state. Since the state is based on a widely shared human ability to calculate, an ability that the rich and poor share, Archytas was led to support a more democratic constitution (see 1.3 above) than Plato, who emphasizes the expert mathematical knowledge of a few (R. 546a ff.). Zhmud (2006: 60–76) points out connections between B3 and Isocrates and argues that Isocrates is referring to Archytas, when he says that some praise the sciences for their utility and others try to demonstrate that they contribute greatly to virtue (Busiris 23). However, Archytas seems to accept both of these views about the sciences, while Isocrates refers to two different groups of people. Isocrates’ reference is also very general and makes no allusion to the central terms of B3 so that it is doubtful that he has Archytas in mind. For further discussion of the argument of B3 see Huffman 2005: 182–224 and Schofield 2008. 