By Pfeffer, Riemannian
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65 Cf. Ju (2009, pp. 34–5. I take it that her argument (pp. 381–6) effectively refutes the view that they are corporeals for any Stoic. This is not to say that there might not be some serious concerns, as Paparazzo (2005) raises, but ultimately the issue here concerns Pliny’s treatment of patinas, and not Posidonius. , Vitae VII 135 (discussed below), comes from book 5 of De meteora. One really wants to know the context. 66 De comm. not. 1081B5 for plane, B11–2 for point, 1080EF for the contacts in general of a body with an incorporeal.
And these sorts are affective and effective. Thus it is obvious that those things are of a nature to touch one another which, by their being divided magnitudes, have their limits together, as they are causing motion and are moved by one another. 32 H. Mendell Here is a summation of the argument that we are interested in. 1. 2. 3. 4. 5. 6. 7. Things that have their limits together are in contact (Phys. E 3). The primary sense of ‘contact’ belongs to things that have position. Things that have position have place.
In 1–13 he uses dimensional-reduction (commonly mis-called ‘indivisibiles’) and the balance, while in 14 he just uses dimensional-reduction, but in 15 he gives a Eudoxus/Archimedes proof of the previous theorem, which will require unlimited division. So, he has not abandoned the condition of unrestricted divisibility in the treatise and so has not endorsed surreptitiously an Epicurean doctrine as the ideology of the treatise. Archimedes identiﬁes Props. 1–13 as heuristic because, like the argument of Quadrature of the Parabola 6–17, they use mechanics.