Let's say you have a bag with infinite apples inside. You begin taking out the apples randomly. There is one (maybe more) particular apple that will never be taken out.
Maybe length is the wrong way to say it. It is merely that there is an infinite number of natural numbers. If you don't like saying the word "infinite", look at it this way, assume N is a natural number, then by peano's axioms, N's successor (what we write N+1), exists and is greatar than N, thus we achieve a contradiction, which means there is no greatest number N (which is what would be called an infinite amount of natural numbers. I'm not involving cardinalities here, despite them making sense to a certain degree when talking about infinities).
Oh, I'm also not of the race that you claim I am, however it's pointless to argue such details over the Internet.