What you describe about the development process, to write down the thinking and edge cases and decisions and such, is important but doesn't really belong in the source code. That stuff belongs in your issue tracker system or the commit messages. What other medium tries to embed a description of the creative process in the work itself? Da Vinci didn't write on the back side of the Mona Lisa the production process for his paints. Tolkien didn't explain how he created the Elvish language in the text of the novels. There's accompanying material for that.
But realistically for software, that accompanying material is not going to get read elsewhere, or survive long-term through migrations to different tools and hosts. So it ends up in the source as the only way to keep it with the code and visible ten years later. Commenting is a least-bad solution, not a good one.
And of course, policies for code commenting never work. You just get scintillating gems like "x+=5; //add 5 to x".