Arguments for a "First Cause" presented by philosophers from Aristotle to Jaki are that infinite regression is not possible. Hilbert, the great 20th Century mathematician, produced the infinite hotel paradox to show that infinity is not real. I am enough of a mathematician to understand how limiting processes can use infinity in looking at convergent series, the calculus, and so forth, and I appreciate Cantor's arguments about the cardinality of infinity. What is of interest are arguments (pro and con) about whether infinity "really" exists and, therefore, whether the universe might be finite or infinite.
Edited by anselm, : plurality didn't agree