I morally dominates POC - and if these people are in power, then this conviction is reflected in the SWF. Note also that
I need not be positive, e.g. when a wise king dies or a wise government party loses the elections. Note that when
I coincides with a shift in power, the prime cause can be both personal properties involved or the information; but here everything is aggregated into the latter.
We conclude this section by a short abstract discussion of the concept and properties of information, and Lemma III.
Regard a controlable dichotomous system with states s = 0 or s = 1. Two consecutive states are of the form {0, 0} and {1, 1} where the regimes are maintained, and {0, 1} and {1, 0} where there is a switch. If policy is conscious, then the movement from one state to the other (or the same) depends on information - and thus there are four lists of basic information. With 4 such items, an agent’ mind can possess any combination. There are 15 of such combinations: namely 1 case where all 4 are known, 4 cases of only 3 items, 6 of 2 items, and 4 cases when only 1 is known. It will be useful to compress this abundance.
The following definitions are useful:
Definition: Basic information is a list of “what one does” to have one state in one moment and another state in the next moment. An example list is: {“Provide oxygen and a dry place”, “Light the match”, “Let it burn till it is all cinders.”}. Other examples are recipes, film scripts, computer programs (“Click on a button”). We can denote basic information as BI(s1, s2). Note: In this version of the proof we allow basic information to be true or false.
Definition: A state s is said to be controlable iff there exists - in principle - true basic information on both s and 1-s, and the agents have the resources to use this information. Note that this information need not be known by the agents (need not be available), and it need not even be known to the agents that the matter is not unknowable.