Every time I say this, someone says I’m missing the point, but I’m becoming increasingly convinced that the Christian tradition is morbidly afraid of infinite regress, which in my mind includes mutual determination as a subspecies.
For instance, why is it that the West can say that the Spirit proceeds from the Father and the Son (based on the biblical text), but not that the Son proceeds from the Father and the Spirit (which seems to be supported by the biblical account of Christ’s conception)? Did they just not want to trouble the waters further? Judging by their vociferous defense of the Filioque, that’s not a very likely explanation. Rather, it seems to me that they didn’t take that equally obvious route because that would mean that the Son and the Spirit were mutually determinative, introducing a kind of infinite regress (or vicious circle).
Similarly, every proof of the existence of God presupposes that infinite regress is an impossible outcome — hence the uncaused cause, that than which no greater can be thought, etc., etc., etc.
What is the significance of this? Only time will tell!