That's a perfect example for circular logic. It's the opposite actually. Nothing only exists relative to something, something only needs to be something to exist. Think of something as a barrel and nothing as a hole. As long as there is a barrel relative to the hole, the hole has some meaning. A barrel is a barrel whether it has a hole or not, but what's a hole without a barrel? You can't even call it nothing, it doesn't make sense to speak of a hole without some reference to something that can have a hole in it. Without a barrel, a hole isn't even nothing, it's less than nothing, it's not even a concept to be considered. So, without a barrel, there isn't a hole, likewise, without something, there isn't nothing.