I didn't say anything about history books. I said science cannot deal with history. Also, you must define what you mean by "finite" and "infinite". The very existence of natural laws implies that the universe, as far as we know and experience it, is finite.
Secondly, I would argue that the universe cannot be infinite. If you wanted to believe it was infinite, you would still have to explain how the first event came to be that brought all this into existence. It is a logical axiom and a philosophical truth that everything that begins to exist must have a cause. Therefore, there had to have been an original cause.
The only real laws of the universe are zero equals infinity. The so called laws you see today can be broken.
In zero equals infinity, there is no beginning to the universe. Cause and effect is just another apparent law that you are falling for.
Addintionally, you are the one arguing for God being infinite, then you argue against infinity because I'm not using it to explain God. I'm sure if I was explaining God being infinite, you would have no problem with infinity.