1 i.e. pairs of sensible objects.
2 i.e. mathematical 2s.
3 The argument of 7-8 is: Ideas are substances. The common name which an idea shares with its particulars must mean the same of both; otherwise "participation" is merely homonymy. But as applied to Ideas it denotes substance; therefore particulars must be substances.
4 This objection, like the next, is chiefly directed against the transcendence of the Ideas. It is anticipated by Plato in Plat. Parm. 134d.
5 Anaxagoras Fr. 12ad fin.
6 See note on Aristot. Met. 12.8.9. Apparently he was a Platonist who regarded the Ideas as immanent in particulars.
7 Plato says "the Demiurgus"?Plat. Tim. 28c, Plat. Tim. 29a.
8 Why this consequence is objectionable is not quite clear. Perhaps it is on the ground that to "account for appearances" in this way is not economical.
9 The species will be the "pattern" of individuals, and the genus of the species.
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