One of the goals of Apologetics is to deal with the objections that people have regarding the existence of God. For the next several weeks, we will be listing some of these objections and the arguments that address them. The below article addresses the argument that an infinite series of causes is possible and therefore God is not necessary:
An Infinite Series of Causes. One objection to the cosmological argument is that a First Cause is unneeded because an infinite series of causes is possible. Infinite series are common to mathematics.
The suggestion of an infinite series is only raised in the horizontal (kalam) form of the cosmological argument (see Kalam, Cosmological Argument). In the vertical form of Thomas Aquinas, the very first cause outside of a finite, contingent, changing being must be infinite and uncaused (see God, Evidence for). This is so, because every finite being needs a cause. Hence, one finite being cannot cause the existence of another. There cannot be even one intermediate link between the Creator and his creatures. The very first cause outside of beings whose existence is being actualized must be the Actualizer of being.
Mathematically infinite series are possible, but not actual ones. The former are abstract; the latter are concrete. It is possible to have an infinite number of points on one line on this page. But one cannot get an infinite number of letters on this line, no matter how small they are (see Infinite Series). Points are abstract or theoretical entities; a series of causes of existence is comprised of actual entities. An infinite number of the former are possible, but not of the latter. The reason for this is simple: No matter how many dominos one has in a line, one more could be added. The number cannot be infinite.
Furthermore, an infinite series of simultaneous and existentially dependent causes is not possible. There must be a here-and-now ground for a simultaneous series of causes, none of which would otherwise have a ground for its existence. An ungrounded infinite regress is tantamount to affirming that the existence in the series arises from nonexistence, since no cause in the series has a real ground for its existence. Or, if one cause in the series grounds the existence of the others, then it must be a First Cause, but then the series is not infinite. Otherwise the cause causes its own existence, while it is causing the existence of everything else in the series. That is impossible.
Geisler, N. L. (1999). In Baker encyclopedia of Christian apologetics (p. 289). Grand Rapids, MI: Baker Books.