[szemet]

If the universe cannot contain infinite amount of information then it follows that there are infinite knowledge we cannot know - simply because we cannot store it anywhere (in brains or computers or anywhere).

For example: exact prime factorization of all natural numbers, etc...

Of course this is true only if you accept induction. So you can still back off by declaring yourself finitist* ;)

* https://en.wikipedia.org/wiki/Finitism