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).<p>For example: exact prime factorization of all natural numbers, etc...<p>Of course this is true only if you accept induction. So you can still back off by declaring yourself finitist* ;)<p>* <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Finitism" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Finitism</a>