We can leave theology. It is not so important. I am more concerned with the questions of finitism and infinitism in relation to paradox of sets.

Finitism is logically consistent. However, it seems to me that it suffers from the same problem as the ontological proof of the existence of God. It is an attempt to make a global prediction about the nature of the Universe based on a small thought experiment. Predictions like "Time cannot be infinite", "Space cannot be infinite" follow directly from finitism. It turns out that we make these predictions based on our mathematical problems with the paradox of sets. At the same time, the paradox of sets itself resembles the paradox "I'm telling a lie now". and, it seems, should look for a solution somewhere in the same area. If we think off the cuff, it seems to me naively that the very concept of "ordinary set" is composed in such a way as to lead to paradoxes. This is the problem of the concept of "ordinary set". This is not the problem of the existence/non-existence of physical infinity.

Oh, okay. I don't really understand this topic. But as far as I know, not all mathematicians are finitists. So it seems that the proofs of finitism are not flawless.

On the other hand, how is the problem of the set paradox solved in cosmological infinitism? Something like "The Infinite Universe may exist, but it is forbidden to talk about it as an object"? Because any attempt to do so will bring you back to the set paradox, if you take it seriously. "Talk about any particular part of the Universe as much as you like, but don't even think about the Universe as a whole"? This risks forming a somewhat patchwork model of the worldview. "It may exist, but you cannot think about it intelligently and rationally." One is reminded of Zeno's attempts to prove that one cannot think about motion without contradictions.