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By Philip Merlan Dr. Iur., Dr. Phil. (Vienna) (auth.)

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IX of Isc is only apparent, according to Loenen *. This he proves by saying that the same (apparent) contradiction must have, at least implicitly, been present in Posidonius. For he, on one hand, identified the soul with mathematicals but on the other must have known that the soul according to Plato was motive. How then does Loenen resolve the apparent contradiction? By assuming that Iamblichus when speaking of the motive soul means soul in the ordinary sense of the word, whereas when he speaks of non-motive mathematicals he still can identify them with the soul, viz.

VIII leads to still another quadripartition, viz. e. into intelligibles, mathematicals, sensibles, and images). The unity of Iamblichus' book is most precarious as we can already see and as we shall see time and again. Let us now resume our discussion of ch. X. In spite of the mathematical constitution of the soul already established the question can still be asked: is the soul the product of the combination of the three branches of mathematicals? Or are the three branches, on the contrary, products of one soul?

3,14-4,8). Accordingly, mathematicals are a kind of mixture of the indivisible and the divisible, limit and the unlimited, one and many (Isc. ch. III, p. 12,26--13,9 F; ch. 46, 1-6 F). A series of predicates attaches itself to these two basic terms; particularly important are the terms "limited" and "unlimited" (Isc ch. III, p. 12,22-24 F), and "intelligible" and "sensible" (Isc ch. XXXIII, p. 95, 5-6 F). It is impossible for anyone (and least of all for a neo-Pythagoreall or Platonist) to read the description of the mathematicals and the two other realms between which they mediate, without being reminded of Plato's Timaeus.

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