Interesting stuff.  Definitely helpful to classify, in a measurable way, the quality of arguments.

However, this kind of stuff is typical of everything on the internet, today, everyone seemingly trying to figure out “how to disagree”.  Stopping at this level is part of what is causing all the destructive polarization, today.

At canonizer, instead of focusing on, or stopping at how to disagree, we take it to the next level: “Building and tracking consensus.”  The tip of the pyramid is: “Refuting the Central Point”  The question is, how do you know when you have succeeded, and for who?  Most everyone has a different threshold of proof, required for conversion, on different issues.  Throwing arguments that only "refute" something for 10% at the competing side, over and over again, (i.e. arguments that don't work) is where everyone is stuck, l wasting their time, today; Arguments being thrown at the other side, forever, nobody ever checking to see if any of them are having any success.

This pyramid seems to measure the level of politeness of the arguments, while at Canonizer we simply care about how many people does this argument or evidence convert.  The quality of any argument, regardless of where it appears on this pyramid can be determined by wow many people have jumped camps, because of any new argument or evidence?  

Usually, the core issue is someone not getting what they want, in the current state of the consensus camp.  So, it is critical to provide a way to track what, and how much of this there is and be able to negotiate the state of the camp statement.  If you can know, concisely and quantitatively, what EVERYONE truly wants, THAT by definition is consensus.  You will know your consensus camp has achieved that when that last holdout has finally jumped on board.  Only then can you know that you have completely "refuted" any central point or more generally, any competing net yet consensus camp.  Sure, that is the ideal, and you will seldomly get there, instantly.  But it is nice to have a goal of first finding out what everyone wants, a requirement for getting as much of that as possible for everyone.