While nicely sounding, it probably does not convey the relevant information to an "outsider". Particularly, this is something a straw Vulcan would do, make a perfectly logical decision based on lousy priors. It emphasizes process over goals, and so is susceptible to lost purposes.
I wonder if this suggestion can be modified to clarify the ultimate goal: to make the best decision possible, including digging up the best possible priors and testing the conclusions along the way. Unfortunately, my metaphor chest came up cringe-worthy: Decision Tree... Garden?, Cultivating Decision Tree?.
If I have understood you correctly, you think that rationality do not corresponds well to having a decision trees, but rather to the process of cultivation them?
I guess you could try to integrate that, but then you are running the risk of making it an in-group name, rather than actually convening some sketchy picture of what the institute is about.
The Singularity Institute wants to spin off a separate rationality-related organization. (If it's not obvious what this would do, it would e.g. develop things like the rationality katas as material for local meetups, high schools and colleges, bootcamps and seminars, have an annual conference and sessions in different cities and so on and so on.)
We can't think of a name for this organization.
We can't think of any names that seem good enough to be audience-tested.
We don't have any ideas good enough that we'd want to mention them in this post.
Help.