This essay tackles the paradox of the heap and the problem of vagueness. It's honestly a surprisingly intractable problem for me and one that, if you are interested in it regarding more than just language use, has to be dealt with. Its one of the main reasons I have become interested in process metaphysics as it is the only satisfactory solution I've found to this problem. For those uninitiated to this problem and in need of something tantalising to keep you on the page, I end up denying objects exist - including atoms and subatomic particles - in order to solve it. Thinking deeply about the intrinsic continuity of the world has only further convinced me of its truth.
The only other approach that is a live option (for me) in terms of saying something substantial about what makes the problem interesting is Tim Williamson's epistemic approach which I really like. It's just a very strange bullet to bite. I think my solution leaves an incredibly tidy state of affairs. This is adapted from an essay written for class so it might assume some prior knowledge about some analytic philosophy stuff but I'm quite proud of this one and want it documented. If nothing else, maybe read the first and last section for the problem and my solution and the source of my inflammatory title and heretical views.