After these things, [one must observe] that neither matter nor form comes to be, I mean the ultimate ones. For everything undergoes change as something and by something and into something. The by something is the initiating mover, the something is the matter, and the into which is the form. Therefore they continue into an infinite regress, if not only bronze comes to be round but also the round comes to be and the bronze comes to be. Indeed, there must be a stopping point (My translation, Metaphysics 1069b35-1070a4) (1).
This is how Lamda 3 begins. Focus for a moment on the infinite regress which Aristotle offers as a consequence of this first paragraph. What line of reasoning is Aristotle following here? Certainly if bronze has to come to be before it even serves as the subject of a transition into a bronze statue, then the process is pushed back one step. But why should this be an infinite regress. In other contexts, Aristotle uses eis apeiron to mean infinite regress, so I think it is solid to interpret it as such here.
I believe that Aristotle is here already assuming a substratum or hypokeimenon. The idea of a substratum, or underlying thing, would seem to serve at least two purposes. The first would be to explain the persistence of a thing through change and over time. Secondly to avoid having to explain the antecedent coming to be of something in order to serve as the subject of a change. It is perhaps this second idea that is motivating Aristotle’s infinite regress. I will try to develop this idea in a second post.
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Notes:
(1) Μετὰ ταῦτα ὅτι οὐ γίγνεται οὔτε ἡ ὕλη οὔτε τὸ εἶδος, (35)
λέγω δὲ τὰ ἔσχατα. πᾶν γὰρ μεταβάλλει τὶ καὶ ὑπό
(1070a) τινος καὶ εἴς τι· ὑφ’ οὗ μέν, τοῦ πρώτου κινοῦντος· ὃ δέ, ἡ
ὕλη· εἰς ὃ δέ, τὸ εἶδος. εἰς ἄπειρον οὖν εἶσιν, εἰ μὴ μόνον
ὁ χαλκὸς γίγνεται στρογγύλος ἀλλὰ καὶ τὸ στρογγύλον
ἢ ὁ χαλκός· ἀνάγκη δὴ στῆναι.