Numbers are actually artificial constructs which, while being incredibly useful, can not be proven to correspond to anything in reality. It is easy to overlook it, but their use comes with a duty to accept the responsibility of verifying whether they are any good for practical purposes.Like the numbers between 1 and 1000 being fiction, then? Arbitrary?
To the best of my knowledge the matter is not quite settled; it can be argued that natural numbers exist on their own, for instance.