Mathematics
Possibilities and probabilities are integrated by the unicist approach
The unicist logic is an integrative logic that always implies the “and” conjunction among its elements, which means a product among the values.
These values are always “0” or “1”. Thus, when one of the values is zero, the value of the concept is also zero. It makes it non-existing.
The Mathematics of the fuzzy logic is applicable to the operational concept.
This mathematics of the fuzzy logic solves the problem of defining the myths where the verbs operate. It establishes the adverbs quite clearly. But in order to integrate the concept as a whole it is required to appre-hend the taxonomy implicit in the dialectics and to understand the rela-tive weight of the substantive, verbal and adverbial functions.
When using the unicist logic to compare different alternatives, it is necessary to make a mathematical development that allows the com-parison of such alternatives to come to a decision.
Mathematics
The Mathematics of the unicist logic was developed to define the field of the possibilities to influence a reality and the probabilities of being successful when doing so.
The unicist mathematical solution is very simple. Considering the three dimensions that underlie a given reality, the integration of the three elements is given by their multiplication. What is being multi-plied is:
1) The purpose
2) The active function
3) The energy conservation function
Optimal functionality is considered as 1 (one) and dysfunctionality is considered as 0 (zero).
The credibility zone functions as a fuzzy set. The non-destructive pilot testing, when researching the concept of a reality, defines the validity of the credibility/functionality zone. The destructive testing defines the external “limit” of the credibility/functionality zone.
Characteristics of reality are transformed into figures and the result-ing figures are retransformed into characteristics.
When analyzing a specific fact, the aesthetic of a specific coat, the credibility zone is given by the category of “coats”. Considering the categorical credibility zone, the perception of the aesthetics of the particular coat should be nearby 1 (one). But credibilities and func-tionalities are continuously moving. There are conjunctural move-ments, between the invariables “security” and “freedom”, and there are structural movements towards “expansion” or “contraction”. The structural movements that occur define the trend of a culture.
“1” (one) must be considered the optimum of a credibility or func-tionality. The optimum is placed at the external limit of the credibil-ity/functionality zone driven by the existing trend. This is the point where the minimum energy is required to adapt to an environment.
Declining environmental trends lead towards contraction. Evolving environmental trends lead towards expansion.
Extreme contraction produces the implosion of reality and extreme expansion produces its explosion.
Unicist Mathematics intended to give an answer to the question of the possibilities to succeed when a particular reality differs signifi-cantly from 1 (one).
Differentiation may be caused by three reasons.
1) The active function is not functional enough.
2) The energy conservation is insufficient.
3) The purpose is far away from being fulfilled.
The change of actions (through the active function) depends on the will of the individual to do so and on his success in the process.
The change in the energy conservation function requires a previous change in the action principle that makes the conservation dysfunc-tional.
The change of the purpose of a reality implies changing both the ac-tions, to make it possible, and the energy conservation, to sustain a different purpose without changing the credibility/functionality zone.
Thus the probability to succeed when a particular reality must be changed to adapt to an environment can be defined as:
P(S) = Purpose3 * Energy conservation function2 * Active function
This shows how difficult it is to influence an environment when the specific action that is proposed differs from reality.
When the distance between the purpose being proposed and the pur-pose of the environment is significant, the project is basically un-achievable, because the necessary energy to change the environment is so high that is uneconomical.
When the distance between the energy conservation function of a specific proposal differs significantly from the environment, the cost of influencing reality is extremely high and the possibilities of achieving adequate results are low.
The only function that can be influenced with affordable costs is the active function. This is why innovations are only possible if the dis-tance to the pre-existing reality is accessible without making struc-tural changes.
