Addressing the juxtaposition of majoritarianism and horizontalism as natures of democracy, I think they are both accurate and both end up describing what's wrong with democracy as practiced. That is, systems only democratic in their vote-based system of government. Elections feel fair to us in a very simplistic way. There's nothing essentially just about making decisions about how people live by vote other than the one vote per person part of it. If we vote on how you ought to wear your hair, it doesn't change the fact that it's an intrusion (or invasion to use Benjamin Tucker's terminology). In Anarchy, State, and Utopia, Nozick creates an interesting analogy for society with a joint-stock company where we all own a share in one another that forces the reader to face what it means to vote on the decisions that shape someone else's life. Democracy, when indicating "shared power" exerted directly without State interference, is synonymous with anarchism...
This is my diary. I'm hoping it will help me live in a liberated way where I have nothing to hide. In some entries there are a lot of thoughts without much structure and in others it strongly constrains their construction. Regardless of form, composing my thoughts allows me to discover myself. If you're reading this, you'll know much about me that I may never know how to tell you, so if any of the thoughts and feelings here awaken a discovery of your own, I hope you'll share it with me.