Does false self = no self?

My new understanding (based on this post ) is that the self is not permanent and is always changing. However, I still can't make the logical assertion that **the self does not exist at all**. At this point, it makes more sense for me to say: "there are multiple versions of the self that pass through time, each of those selves being slightly different than the ones before. So, I am self version 1.0.1, self version 1.0.2, self version 1.0.3, etc". In short, here are my present assertions: 1. a configuration of energy and matter intersects with the 4th dimension of time over and over again, producing the by product is what we understand as self. 2. if some version of self did not exist, then the subject of knowledge could not be observed. Example: without a self, there would be no one to respond to this post. Are my assertions correct? **Does Buddhist philosophy teach that the self does not exist or merely that it is impermanent**?