You can choose not to sell a thing, or you can choose to sell it. You can even offer it via a contract where people are permitted to do some things with it and not others. But what is really poisonous is the government-prohibited-by-default position of copyright, where people who come into possession of e.g. old, out-of-print books are forbidden from copying them even if noone knows who would or could "own the rights".

If you want to keep a work to yourself, trade secret protection is adequate. If you want something that behaves like modern copyright, then you can sell copies of your work with appropriate contracts. But it should be your responsibility to track violators, just like if you sold me some land with a proviso that I had to maintain the orchard on it. Copying should not be guilty-until-proven-innocent the way it currently is.