Unicist Logic and its Mathematics

The unicist logic is a double dialectical logic that emulates the structure of the intelligence that underlies nature, which makes it belong to the field of complexity sciences and not philosophy. Paradoxically, this logic integrates the functionality of the preexisting logical approaches. The unicist thinking process allows emulating the double dialectical logic in mind in order to apprehend complex adaptive systems.

From Dualism to Double Dialectical Approaches

The dualism of neural functionality makes dualistic logical approaches become the natural way to deal with reality. This dualism is functional in operational environments, ruled by cause-effect relationships where the actors dominate the consequences of their actions.

Common sense is the consequence of having found recipes using dualistic logic. Common sense rules are pre-concepts that work as recipes for the one who uses them.

At an abstract level, truth tables are also the consequence of the use of dualism. In the field of dualistic approaches things are true or false, good or bad, etc.

The disjunction “OR” is the basic rule when dealing with dualistic approaches in operational environments. This makes people feel powerful because they establish the “OR” they need.

But when dealing with adaptive aspects of reality there is no possibility to define actions using a dualistic approach because the triadic structure of reality cannot be apprehended with a binary model.

The triadic structure of reality is defined by a purpose, an active function and an energy conservation function.

To apprehend this triadic structure with a binary mind it is necessary to be able to build a double dialectical approach in mind that emulates a specific reality.

This approach was named unicist double dialectical logic because it allows defining the unified field of adaptive systems in order to diagnose and influence them. It is based on the fact that in complex systems all the elements are integrated by the conjunction “AND”.

The Unicist double dialectical approach leaves behind the truth tables (True “OR” False) and replaces them with functional tables evaluating the functionality based on predefined purposes.

The unicist reflection process: action-reflection-action is the technology to be used to transform dualistic logical approaches into unicist double dialectical approaches in order to define complex adaptive systems.

This technology allows starting with the use of disjunctions “OR” and ending with the use of conjunctions “AND”.

This process requires that those who have decided to deal with complex problems need to be fully focused on producing results, have sound knowledge of the problem and have decided to influence it in an adapted way.

The paradox is that at the end the diagnoses and solutions found need to be transformed into operational “recipes” in order to make them manageable by ordinary people.

But it has to be considered that without being able to manage the triadic structure of complex adaptive systems, the diagnoses and solutions developed are either palliatives or fallacies that cannot produce meaningful results.

Unicist Logic applied to Reality

The dialectical logic of Hegel and Marx follow the natural dualistic operation of neurons (on/off). It is functional to rationalism.

The unicist double dialectical logic uses the dualistic operation of neurons to build a mental emulation of the structure of nature that allows dealing with the adaptive aspects of reality.

Unicist thinking is the name given to the process that allows building the double dialectical logic.

Unicist thinking allows emulating in mind the structure of adaptive aspects of reality in order to manage them. It provides the necessary operating system to manage adaptive systems to expand the boundaries of an activity and infer future scenarios in order to adapt.

Unicist thinking allows defining the nature of reality in a reasonable and provable way. It is based on double dialectical thinking in order apprehend nature emulating the ontogenetic intelligence of nature.

It is necessary to diagnose, build strategies and design architectures. It provides the structure to understand the fundamentals of an activity and integrate the fundamental knowledge with the technical analytical knowledge to make decisions.

The discovery of the unicist thinking approach is based on:

  • The discovery of the ontogenetic intelligence of nature that drives the evolution of living beings.
  • The discovery of onto-intelligence which is the human intelligence to adapt to the environment and is integrated by the ethical intelligence, the type of thought, and the strategic intelligence.

Unicist Thinking allows emulating the ontogenetic intelligence of nature using the double dialectical thinking. It is a demonstration that the dualistic dialectical approaches that Hegel and Marx developed to explain the evolution of human behavior are fallacious.

Complementation and Supplementation Laws

Unicist Thinking requires emulating in mind the complementary and supplementary relationships that integrate the double dialectic. The elements that are part of an entity in nature are integrated by supplementary and complementary relationships. There exist no other types of relationships in nature.

These relationships can be perfect or imperfect. When they are perfect the entity evolves in a stable way, when they are imperfect they generate a high level of entropy.

The purpose, the conservation function and the active function of a concept are integrated by logical rules which sustain their unity.

While the purpose and the active function are sustained by the supplementation law, the purpose and the conservation function are integrated by the complementation law.

Supplementation Law

It is a relation between elements with redundant purposes and active functions, having a different homeostatic element. One of the elements has a superior “myth” that challenges the evolution of reality.

Complementation Law

It is an interdependent relation between two elements, actions or ideas. Each one of these elements has what the other element requires and they both have a coincident homeostatic element.

Complements sustain the weaknesses of the purpose to avoid the entropy produced by the action.

When the homeostatic value can buffer the changes produced by the active function, the functionality/credibility zone is relatively stable.


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 multiplied is:

  • The purpose
  • The active function
  • 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 resulting 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 functionalities are continuously moving. There are conjunctural movements, 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 functionality. The optimum is placed at the external limit of the credibility/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 significantly from 1 (one).

Differentiation may be caused by three reasons.

  • The active function is not functional enough.
  • The energy conservation is insufficient.
  • 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 dysfunctional.

The change of the purpose of a reality implies changing both the actions, 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 purpose of the environment is significant, the project is basically unachievable, 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 distance to the pre-existing reality is accessible without making structural changes.

Operational aspects

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 apprehend the taxonomy implicit in the dialectics and to understand the relative 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 comparison of such alternatives to come to a decision.