I started something like this a couple years ago, but it allowed hierarchy in the argument for either side, so that particular points could have 'justifications,' and the justifications could have their own, recursively—but a particular reader just dives as deep as they need to satisfy their personal curiosity. (There are shared justifications that you can link into your argument so you people aren't always wasting time justifying the same things; or you can share from just your own arguments you've written in the past). The debate format required that one proposition be addressed at a time, and the result of a debate is a reconciled hierarchy of claims/justifications. You could ask for critique on personal beliefs, have private debates, or public debates.
This looks like the closest thing I've come across since, and I like it, though I'm still curious about the format I was tinkering with...
(Also: funny side story: I e-mailed Leslie Lamport about the idea when I was still working on it [because of how I saw it relating to some ideas of his about writing proofs]. Out of respect for his privacy I won't say much about his reply other than that he was... not optimistic that folks would actually use it. I was also surprised by his generosity in reading about my idea and replying to me.)
It was never launched—still sitting on my computer with along with a pile of other ideas/projects I haven't had time for ;) I don't have a version hosted at the moment, but here's a blog post I wrote on it: http://westoncb.blogspot.com/2015/06/improving-idea-represen...
Edit: it was tentatively named 'Hypothesis Crucible'. And I have no concrete plans to do anything with it anymore—I wish you guys good luck.
This looks like the closest thing I've come across since, and I like it, though I'm still curious about the format I was tinkering with...
(Also: funny side story: I e-mailed Leslie Lamport about the idea when I was still working on it [because of how I saw it relating to some ideas of his about writing proofs]. Out of respect for his privacy I won't say much about his reply other than that he was... not optimistic that folks would actually use it. I was also surprised by his generosity in reading about my idea and replying to me.)