So, I've been thinking about Cuil theory and had a series of thoughts that led me to question the depth of Cuil Theory. Why limit Cuil theory to mere abstractions from a base idea, when abstraction is only a level of complexity away. Allow me an example to explain what I mean.
Cuil 0 – I ask for a hamburger.
Cuil 1 – I ask for a hamburger, you give me a hamburger.
This is a very basic sentence involving no complications. There is a request present and a granting of a request without any misunderstanding or noise. It is still one level of abstraction away, as there is another level of complexity in that there is a completion of the request.
Cuil 2 – I ask for a hamburger, and you give me a picture of a hamburger.
Alternately: I ask for a hamburger. The person in charge of granting my request does not consider a Big Mac a hamburger, and thereby decides that only a hamburger cooked by the greatest chef in the world is the true approximation of a hamburger, and gives me one of those.
This I'm fairly certain is still Cuil Level 2, as there is initial request, an acquiescing of the request, and a granting of the request in an increasingly complicated fashion. A picture of a hamburger or the greatest hamburger in the world are essentially interchangeable in terms of complexity, as they are a further level beyond the base assumption of a hamburger. This finding also shows clearly that there are multiple ways to add complexity to a given statement, as Cuil Theory is such an excellent indicator of.
What I hoped to accomplish by explaining these examples is that current Cuil theory is only touching on the surface of what it ought to be. Abstraction towards or away from reality is not deep enough to fully encompass the idea. Cuil Theory really is a definition of the complexity of a given situation, but with a specific focus on noise in communication. Noise in this instance is defined as anything that causes interference in communication of an idea. In this essence Cuil is currently only a measurement of noise, when it ought to be a measurement of all aspects of a situation.
Help me expand this thought.