Aristotle claimed that actual infinites aren't possible but potential infinities are possible.

In mathematics it appears that completed infinities are possible, for example *omega*, the completion of the natural numbers; but since you can always go beyond a completed infinity, Aristotles claim when properly interpreted in this domain still holds.

Now we can conceive a chain of causation ...->a2->a1->a0 that extends infinitely in the past; now what holds for succession above, holds also for predeccesors; so one can complete this; but again by the same argument above one can precede again; thus, in this sense, there can not be an infinite regression - there is either first cause, or a first cause in potentia; and by completion we arrive at a first cause again.

The moral of this story is that infinite regression doesn't neccessarily exclude a first cause.

2"I have come across claims…": Could you reference or link to them? that would make it easier to follow the argument. – DBK – 2014-06-04T10:35:26.437

1Sorry DBK it is just things I hear when people sometimes talk about First Causes and the like. – Neil Meyer – 2014-06-04T11:31:25.603

1

This seems to ask "Is infinite regress of logical causation possible?", but in different words.

– Niel de Beaudrap – 2014-06-05T08:31:48.287