Consider the following two plausible Aristotelian theses:
A substance naturally pursues each of its own perfections.
Every natural activity of a substance is a perfection of it.
This threatens an infinite regress of pursuits. Reproduction is a perfection of an oak tree. So by 1, the oak naturally pursues reproduction. But by 2, this natural pursuit of reproduction is itself a perfection of the oak. So, by 1, the oak naturally pursues the pursuit of reproduction. And so on, ad infinitum.
So, 1 and 2, though plausible, are problematic. I suggest that we reject 1. Perhaps the oak tree pursues reproduction but does not pursue the pursuit of reproduction. Or perhaps it pursues the pursuit of reproduction, but doesn’t pursue the pursuit of the pursuit of reproduction. How many levels of pursuit are found in the substance is likely to differ from substance to substance: it is one of those things that the substance’s form determines.
We might say that there are more levels of pursuit in a more sophisticated substance. Thus, perhaps, non-living things only have first order pursuits. To use Aristotle’s physics as an example, the stone pursues being in the center of the universe. But the stone does not pursue the pursuit of being in the center of the universe. But in living things, there are multiple levels. The oak tree grows reproductive organs with which it will pursue reproduction, and in growing the organs it pursues the pursuit of reproduction.
Here is an intriguing hypothesis: in human beings, 1 and 2 are both true. Thus there is thus a kind of (potential?) infinity at the heart of our pursuits. For we are capable of forming a mental conception of our perfection as such, which enables us to pursue our perfections as perfections. If an angel offers a dog food, the dog will take it, since it can conceive of food, and thereby become perfected. But even an angel cannot offer a dog perfection as such, since the dog cannot conceive of a perfection as such. However, we can: if an angel says: “If you ask for it, I will make you perfect in some respect or other, without any loss of perfection in any other respect”, that’s a deal we can understand, and it is a deal that is attractive to us, because we pursue perfection as such.
If the above is right, then we have a kind of deep teleological differentiation between three levels of being:
Non-living substances pursue first order perfections only.
Living substances have at least one meta-level of pursuit: they pursue the pursuit of some or all of their first order perfections.
Rational substances have infinitely many meta-levels of pursuit, at least potentially.