It involves statements about the uniqueness of things like fingerprints, snowflakes, grains of sand, etc. First it establishes how many possibilities there are, down to the subatomic level. That number is invariably enormous. Then it’s stated that the number of these items in existence can’t possibly add up to that enormous sum. Therefore they must all be unique.
Obviously the argument ignores the fact that there can still be duplication, without fulfilling every possibility. duplication can occur at any time, without needing to exhaust all possibilities first.
I think this fallacy vaguely hints at “excluded middle” and “non-sequitur,” but not really satisfying either. Is there another fallacy that I’m ignoring?
Or isn’t it a fallacy at all?