The computational theory of group organization introduces the dimension of *abstraction degree*. *Abstraction degree* is a measure of the abstract properties of a group. For example: The abstraction degree of Bitcoin = 1, because Bitcoin has only one group abstract property, which is the longest chain. In contrast, Turing machine computability is a special case where abstraction degree = 0. That is, in Turing machine computability, there are no irreducible group abstract properties. Computable abstraction degree is like geometric curvature: Plane geometry with curvature = 0 is similar to Turing machine computability with abstraction degree = 0. Beyond this, abstraction degree, like curvature, can have infinite possible values.