CI,
On that rather "absolute statement I beg to differ"( the problem is unsolvable), although I am not absolutely sure that I do
I spent better than twenty years of "musing time" attempting to force my mind to accept what my brain "knew".
I can now accept it as a fact and a belief that there may be material things which are either infinite or eternal and perhaps both.
This, without a doubt, was the most difficult abstraction that I have ever tried to wrap my mind around.
In the various conversations that I have had on similar ideas I have noted that even amongst the most scientific types the view of infinity is often flawed.
That difficulty IMO is responsible for many God's, Big Bangs, Expanding Universes, and even "Original Sins".
I kind of wonder (musingly) what there is about a "concept of infinity" that makes even the very idea so difficult for human minds.