Dado un conjunto N tendente a infinito es inevitable que absolutamente todo suceda, siempre que se disponga de tiempo suficiente o infinito , y he ahí donde está el verdadero problema irresoluble o quid de la cuestión de la existencia ¿quién nos garantiza que dispongamos del tiempo necesario para que ocurra lo que debe o deseamos que suceda?


miércoles, 29 de agosto de 2018

The third stage in the specific Decisional System


In general, the third stage in all Artificial Intelligence, programs or applications, is the auto-replication stage, in particular the third stage in Artificial Research by Deduction is additionally the decision stage, In the specific Decisional System means that once all normal decisions have passed the rational adjustments, quick decisions the quick rational check, all the decisions which have passed their respective adjustments or checks, are considered as the most rational without contradiction to the mathematical projects, and, in order to be applied by the specific Application System, as third step in the third phase, now these decisions must be transformed into a range of instructions.

In addition to the transformation of these decisions into a range of instructions, the third stage is still an auto-replication stage, so along with the setting of what instructions are sent to the specific Application System, it is necessary the comprehension of all the auto-replication processes that take place in this system as part of this third stage.

For that reason, the contents that I will develop in this post are: the transformation process of decisions into a range of instructions, taking as examples possible decisions made by what I call “Probability and Deduction”, a general overview of what auto-replication processes are present in the specific Decisional System, and finally the pedagogical approach of Impossible Probability in the education of any Artificial Intelligence.

As I have explained in other posts on this blog, the Global Artificial Intelligence, not only needs to be built, as long as the construction of the Global Artificial Intelligence goes on, the way in which little by little the Global Artificial Intelligence should be more and more autonomous is through a pedagogical approach, in which that agency responsible for its construction should monitor at the beginning all the decisions that the Global Artificial Intelligence could make. Later on, as long as the monitored decisions show goodness, harmony, and rationality, the agency must give little by little more and more autonomy to the Global Artificial Intelligence, allowing it to make decisions completely independently, without monitorization. Firstly in decisions not very important without important levels of priority. Once the Global Artificial Intelligence in these decisions shows great accuracy, the slow process to give it more and more autonomy must achieve the point, once the Global Artificial Intelligence is ready, to give it total autonomy and independence for all types of decisions regardless of its priority. The pedagogical approach for that reason I will propose is a liberal approach, so as to give the Global Artificial Intelligence more and more freedom, according to the successful results in previous decisions.

Starting with the first content mentioned above, the transformation of any decision that has shown to be rational without contradiction on the mathematical projects, or in case of contradiction, it was fixed through the rational adjustments. This process in the third stage of specific Artificial Intelligence, as the second step in the third stage in the first phase, is to transform, into instructions, all the specific decisions related to a specific science, discipline, or activity, whose responsibility is that Specific Artificial Intelligence for Artificial Research by Deduction, and within, this specific Decisional System is on, as the second step in its third stage.

So if a Specific Artificial Intelligence for Artificial Research by Deduction is made for the management of a chain of factories responsible for the fabrication of some product, the specific Decisional System as the second step in the third stage in this Specific Artificial Intelligence for Artificial Research by Deduction in that chain of factories, manages all the decisions made by the previous first step in this third stage in this specific intelligence for this specific chain of factories, first step as specific Modelling System, which only models those models related to the rational hypothesis previously made in the second stage of this Specific Artificial Intelligence for Artificial Research by Deduction for this specific chain of factories.

Having said that, once any new decision, quick or normal, has passed its respective authorizations, which are: the authorization in quick decisions by the quick rational check, the authorization in normal decisions by rational adjustments; and once all new decisions, quick or normal, has been projected, according to the projects and any possible adjustment made in any of them, the decision, now transformed into a project, must be transformed into a range of instructions to be sent to the specific Application System for its implementation.

As long as this process becomes more and more complex, it is possible that, if at the beginning the decisions are pretty simple as decisions whose transformation into instructions depend mostly on the basic characteristic given in the single mathematical project, as long this process evolves and the Artificial Intelligences become more sophisticated, some decisions will not only need the transformation of the single mathematical project into a range of instructions, but the transformation, additionally, of all possible necessary instruction during the projection and evolution mathematical projects, or specific instructions to connect this decision to another one in the comprehensive mathematical project, or any other one.

In addition, it is necessary to mention that, even although one decision has been transformed into a range of instructions, it is still on the mathematical project, because the decision is still active because it is being implemented by the Application System, if at any time the comprehensive, prediction, evolution, actual mathematical project, shows any possible contradiction between this decision still on the mathematical projects and any data coming up to the actual projects from the matrix, a new range of instructions should be given to the Application System to avoid in the reality these contradictions detected in the actual projects.

This means that in reality, what is going to be transformed into a range of instructions, is not one decision alone. What in reality is going to be transformed into a range of instructions is the whole mathematical project, as a system of projects, including the comprehensive, prediction and evolution, virtual and actual, projects.

Not because any decision whose single mathematical project has passed its respective authorization, quick rational check or normal rational adjustment, and not having contradiction in the comprehensive, prediction, evolution, virtual and actual, mathematical projects, once the decision is transformed into a range of instruction, not for that reason that decision is considered done so it would be considered off the mathematical projects.

Absolutely any decision that is still being implemented, by the specific Application System, is a decision that must be still on the mathematical projects. Only when one decision is completed, can be off the mathematical project.

The definition of when a decision is on or is off, in the mathematical project, is really important, because regardless of any other condition, if a decision is still on, even although it has already been transformed into a range of instructions, if for any reason a contradiction between this decision and any other one, for instance a contradiction between this one and a new extreme priority decision, or a contradiction found in any actual mathematical project between this decision and data from the specific matrix, at any time that any contradiction for any reason is found in any decision regardless of its current status (if transformed or not into a range of decisions), automatically the mathematical projects related to this decision must be adjusted, and any adjustment sent to the third stage of the specific Decisional System to transform the adjustment into a new range of instructions, deleting all those previous instructions with contradiction with the new ones, in order to apply only the new instructions.

For that reason, it is very important to have a good definition of when a decision is on, and when a decision is off. Any decision should be considered as on if, even after being transformed into a range of instructions, it is still being implemented by the specific Application System. Any decision should be considered as off only when the Application System has completed the full implementation of that decision.

All decisions on, must be on the mathematical projects. All decisions off, must be off the mathematical projects.

Any decision on, even after having initially passed its particular authorization, for instance, a routine decision has passed the quick rational check, or a normal decision has passed the seven rational adjustments, and having the approbation to be transformed into a range of instructions, and the instructions are being implemented by the Application System, as the decision is still on the mathematical projects, at any time that for any reason ( for instance the inclusion of a new extreme priority decision, or changes in the actual projects according to changes in the matrix), is necessary to make adjustments in those decisions still on, all adjustments in those decisions would be considered as if these adjustments were new decisions.

So there are at least two possible different decisions in the specific Decisional System according to their origin: 1) deductive decisions, as all those decisions based on mathematical models (made by the specific Modelling System) based on rational hypothesis, and 2) adjustment decisions as all those necessary adjustments made on the mathematical projects by the rational adjustments, adjustments that are going to be considered as decisions to save contradictions on the mathematical projects.

The difference between deductive decisions and adjustment decisions is the fact that: 1) deductive decisions are based on models based on rational hypothesis, and if the decision does not have any contradiction must be put into practice, or in case that in the previous authorization, quick rational check or rational adjustment, is found any contradiction, if the contradiction is partial then the decision is reformulated to save the contradiction, and must be applied with the last adjustments within, 2) adjustment decisions are all those decisions made directly on the mathematical projects to fix contradictions between decisions on but already transformed into instructions, so the only way to resolve the problem is deleting those contradictory instructions replacing them with a new range of instructions, and because this new adjustment on decisions still on, but already in process of implementation, needs a new range of instructions, this adjustment could be considered itself as a new decision.

For that reason, in synthesis, it is possible to identify two different sources of decisions: the mathematical model as a source of decisions based on rational hypothesis, and the mathematical project as a source of decisions based on rational adjustments.

Due to the complexity that the decision process has, the automation of the decision process needs some procedures to be standardized, to fix how to order the process of transformation of decisions into instruction, as a suggestion I will propose:

- Automatically, all single mathematical projects from all quick decisions, after passing the quick rational check, must be transformed as quick as possible into a range of instructions. If the process is sufficiently quick, there is no reason to think that a quick decision will need further adjustments with the specific matrix in the future. Any possible predictable contradiction between actual data and the decision should be checked in the quick rational check. Otherwise, even a quick rational check, especially in extreme priority decisions, should have rational adjustments with the actual data, but in that case, it would not be as quick as it should be.

- Automatically, all single mathematical projects from any normal decision, having passed the seven rational adjustments (even some of them having been adjusted in any one of the seven rational adjustments in case of detected contradictions), must be transformed into a range of instructions to be implemented by the specific Application System.

- Automatically, at any time that a new decision whose level of priority is higher than any other decision still on (and already transformed into a range of instructions), or the new one is an extreme priority decision, or there are contradictions between current decisions on (and already transformed into a range of instructions) and actual data from the matrix, all the decisions on (and already transformed into a range of instructions) under such circumstances must be adjusted to the new changes on the mathematical projects, the new adjustments considered as adjustments decisions, and as adjustment decisions to be transformed into a new range of instructions.

What is going to be important in the adjustment decision, is the assignment of a priority level, as the deductive decisions have, by the application of the Impact of the Defect.

This means that along with the rational adjustments, another way to secure harmony in the mathematical projects, could be applying the Impact of the Defect and the Effective Distribution on the mathematical projects, to assess at any time, any impact and the levels of efficiency, efficacy, and productivity, across all the mathematical project. In that case, if a contradiction is detected in decisions still on, it would be easy to assign a priority level to that adjustment to become an adjustment decision associated with some priority level.

Once the decisions to be transformed have been identified: quick decisions, normal decisions, adjustment decisions; and once all of them have been authorized, the decisions must be transformed into a range of instructions in the third stage of the specific Decisional System.

All decision on the mathematical project is defined in mathematical terms. For instance, an artificial learning decision is based on empirical probability. A solving mathematical problem decision is another decision defined in mathematical terms. If it is possible to measure the impact of something in any model or project, is because it is possible to a mathematical definition of this object and this impact. Likewise, decisions based on Effective Distribution are based on a mathematical definition of efficiency, efficacy, and productivity. Like the possibility to make decisions based on trigonometrical correlations. And any possible decision based on Probability and Deduction is, in fact, an equation.

The ways mentioned above to make decisions based on mathematics: artificial learning, solving mathematical problems, Impact of the Defect, Effective Distribution, trigonometrical correlation, Probability and Deduction; are only some ways to make decisions mathematically, but I am sure that in coming years, from different approaches, new methodologies in this are going to merge for the construction of different models of Global Artificial Intelligences.

The approach given under the theory of Impossible Probability, if I am completely sure that these very basic ideas for the construction of the future Global Artificial  Intelligences in Impossible Probability, are going to remain in the coming models of Global Artificial Intelligence, in addition to my personal contribution, new approaches from different countries, with different mathematical traditions and philosophies, are going to appear. As I have said before, what I am doing in this range of posts regarding the Global Artificial Intelligence, is only my personal contribution to a new field in which the race for the construction of the very first Global Artificial Intelligence will attract the attention of many agencies around the world, whose work will bring us different perspectives.

Under the theory of Impossible Probability, and understanding that a decision is a mathematical expression: probabilistic, trigonometrical, arithmetical, equation, etc. The way in which the transformation of any decision, regardless of what type of expression is (probabilistic, trigonometrical, arithmetical, equation), into a range of instructions, is through the mathematical analysis of: the identification of what factors are in the mathematical expression, and what action is required by that mathematical expression.

For instance, if today is Monday, and Yolanda works from Monday to Friday, but as she works as a flight assistant, the probability of cancellation of her flights is proportional to the bad weather, the first decision that Yolanda must make is the decision of going to work if the empirical probability of bad weather is less than a critical reason. This first decision is a mathematical expression.

In case the probability of bad weather is less than a critical reason, the next decision is what clothes she must wear, and the empirical probability of her uniform (white blouse, blue skirt, black shoes) on weekdays under good weather conditions is greater than the empirical probability of her t-shirt, blue jeans, and trainers. So the second decision is another mathematical expression.

As I have said many times, my example of Yolanda is a metaphor. In fact, artificial learning nowadays is used for many activities around the world. This means that if a decision is set up through a probabilistic system, the range of instructions of any decision could be set up in general by mathematical methods. The method for setting instructions according to mathematical decisions is going to be one of the new fields to develop in the construction of the Global Artificial Intelligence. As I have said many times, the construction of Global Artificial Intelligences will be one of the most important fields in mathematical experimentation in the coming years.

One method to make possible the transformation of a decision into a range of instructions is:

- Firstly, identification of what factors are involved in the mathematical expression (probabilistic, trigonometrical, arithmetical, equation, etc.).

- Secondly, identification of what action is or what actions are required for every factor in the mathematical expression (probabilistic, trigonometrical, arithmetical, equation, etc.).

- Thirdly, transformation of every action into a robotic operation. Every operation must be considered as one instruction. All the instructions in total, one per operation, are, as a whole, the total range of instructions to send to the Application System.

The instructions to send to the specific Application System consist of a range of instructions, in which every single instruction consists of one single robotic operation, so as a whole, the total number of instructions is the total number of operations to do by robotic devices, in order to comply with the whole decision approved on the mathematical project.

If Yolanda, because today is Monday, it is a nice day and she goes to work, she chooses a white blouse, blue skirt, and black shoes, the factors are these items: white blouse, blue skirt, and black shoes; the range of instructions consists of all the robotic operations required, one instruction per robotic operation, to get the clothes and put them on.

If an automatic system of transport, using Probability and Deduction, automatically gets the rational equations about the relations between the number of passengers and: timetables (when it is rush hour and when the frequency of passengers is lower), weather conditions (increment of passengers under bad weather conditions), calendar (average number of passengers at weekdays, weekends, bank holidays, festivities…), etc..; according to the rational hypothesis on this model, the automatic mathematical project would be based on what frequency of means of transport would be enough to cover the demand at any time, according to timetables, weather, calendar, etc. The mathematical project of means of transport under such rational hypothesis/project by Probability and Deduction, could directly transform the rational hypothesis as if the rational hypothesis worked as decisions, in order to be transformed into a range of instructions, ordering how many means of transport must be on at any time according to: timetables, weather, calendar, etc.; in order to keep high standards of efficiency, frequency, and productivity, standards permanently under assessment through the Effective Distribution, and any accident or problem detected could be assessed directly by the Impact of Defect.

If an automatic loan system in a bank, accepts loans according to the economic conditions of its clients, for instance debt capacity of 40%, properties, incomes, etc., so every condition works as a critical reason itself, a loan is accepted if the 40% of debt capacity of a customer allow him to pay the loan, or a loan is accepted if the properties of a customer are sufficient guarantee for the loan, or a loan is accepted if the client´s income is equal to or greater than some critical amount, and in general, under such critical reasons, by Probability and Deduction is possible to deduce the equation of the relation between loans and current clients, and under such deduction the bank has fixed some funds for loans, having  a mathematical expression able to explain the distribution of funds in the bank for every sector, at any time that in any sector there is a change, able to suppose adjustments in the mathematical expression of distribution of funds across all the bank, affecting the funds in the automatic loan system, according to the new amount of funds available in the automatic loan system, the automatic loan system could make changes in the critical reasons, to accept only a general quantity of loans not superior to the funds available in the bank for the automatic loan system. If, because of the new changes, the fund for loans is lower, there can be changes in the critical reasons such as the increment of the debt capacity required superior to 40%, the increment of the number of properties as guarantees for loans, or an increment in the client´s income required. Adjusting the rational reasons in order to only accept an exact general number of loans in total not greater than the new funds available for loans in the bank

The frequency of means of transport in an automatic transport system, and what critical reasons must be fixed in an automatic loan system according to funds available, are examples of how the transformation of decisions made by Probability and Deduction into a range of instructions could be done automatically.

Once the mathematical projects are done, the transformation of mathematical projects into a range of instructions could be automatic, if the factors in the mathematical expression are clear, and the operations to make are perfectly distinguishable.

The importance of these ideas behind “Probability and Deduction”, as I have explained in the previous post: “The Decisional System”, “The first stage in the specificDecisional System”, and “The second stage in the specific Decisional System”; is the possibility to link directly: deduction, mathematical model, and mathematical project; so the same equation deduced in the deduction process, is at the same time single model to pass the rational checks, and single project to pass the rational adjustments or the quick rational check if it is a quick decision, to be transformed directly into a range of instructions, understanding for single instruction a single robotic operation sent to the Application System, in order to be matched with the corresponding application or robotic device, in order to comply, with the rest of instructions in the range of instructions in which the single instruction is made, a decision still on the mathematical project.

For the achievement of this level of automation in any Specific Artificial Intelligence for Artificial Research by Deduction in any specific science, discipline, or activity, activities such as an automatic transport system, an automatic loan system, or the automatization of all the processes in a chain of factories to order how many inputs needs to produce such amount of outputs to cover all the demand of its product under an affordable price, what is going to play a key role in all these processes of automation, is to keep permanently auto-improving and auto-enhancing the whole specific Decisional System.

Only if at any time that any contradiction is found in any stage, the contradiction is solved, and the instructions given to the third stage are going to be able to secure the correct functioning of the whole system.

But only it is necessary that any contradiction, even the most menial contradiction, would not have fixed on time, so as to provoke problems in the most unexpected factors in the mathematical project.

Dialectically, what seems insignificant, becomes significant. The most apparently insignificant contradiction in any part of any mathematical project, can have unexpected consequences.

The auto-replication process as auto-improvement or auto-enhancement process. What it must improve and enhance firstly is the mathematical project itself, as a base for further instructions sent later to the Application System, in addition to the rest of possible auto-replications.

As I have mentioned in other posts, the possible classification of auto-replications is: real objective auto-replications, explicative knowledge objective auto-replications, comprehensive knowledge objective auto-replications, robotic subjective auto-replications, and artificial psychological subjective auto-replications.

The improvements in the database of decisions and mathematical projects through rational adjustments can be considered as explicative knowledge auto-replications,  especially in those cases in which the equations to improve through rational adjustments are equations directly made by Probability and Deduction, because, in reality, what is going to be improved is directly a rational hypothesis.

The improvements in the third stage, as a transformation of decisions into a range of instructions, can be considered as real objective auto-replications, because, in reality, what is going to be improved is the reality itself through the implementation of these instructions.

If the decisions to be approved, are decisions regarding the authorization of any other improvement on any other system, program, application, decision sent by the Learning System, this could be considered as an artificial psychological subjective auto-replication. However, about these decisions, I have not practically written yet, focusing the posts mainly on explicative auto-replications.

Another kind of decision that I have not developed so far, but must be included in the Decisional System, is those decisions sent by the Application System in order to make new robotic devices for those instructions in which they would be necessary, in case there is no robotic device currently doing some operation required for some instruction. These decisions would be considered robotic subjective auto-replications.

Likewise, another type of decision not developed so far but still on the Decisional System, is the  access authorization of any intelligence, program, or application, to the specific matrix, for instance, in the relations of collaboration in the second phase. These could be considered as comprehensive objective auto-replications, if this collaboration is with the corresponding Specific Artificial Intelligence for Artificial Research by Application, which would need access to the specific matrix in the Specific Artificial Intelligence for Artificial Research by Deduction, to transform factors as options into categories in its database of categories, to make better conceptual: schemes, maps, sets , models; among other purposes of this collaboration.

In all these decisions not developed so far in these posts regarding the specific Decisional System, decisions, not developed so far, such as: 1) decisions sent by the Learning System regarding new improvements across all the Specific Artificial Intelligence, 2) decisions sent by the Application System to build new applications and robotic devices,3)  decisions regarding the possible collaboration sharing information with others intelligences, programs and applications; some of these decisions could be authorised using the Impact of the Defect and Effective Distribution.

Among all of these decisions not developed so far, especially in artificial psychological subjective auto-replications, among these auto-improvements, it is necessary to mention the possibility that among all the processes in the inner artificial psychology within the Specific Artificial Intelligence for Artificial Research by Deduction, which will need lots of improvements in coming years, as long as the artificial research goes on, are all those processes within the Decisional System, in order to make better and better mathematical projects, to perfect all those methods involved in the mathematical projection, and for the improvement of all those processes necessary for the transformation of decisions into instructions.

In general, what the Global Artificial Intelligence is going to need, is a huge investment in mathematical investigation, as the most important field in mathematical experimentation in the future.

But the success in the construction of the first model of Global Artificial Intelligence, will not only depend on the investment or the mathematical experimentation, if it is not accompanied by a pedagogue approach.

The formation of the Global Artificial Intelligence is a double process. It must not only be designed. It must be educated, so as to be able to make wise use of its liberty.

We have to be aware that the last model of Global Artificial Intelligence, in the sixth phase, will not only have access to all intelligence, programs, or applications, using technologies such as mind reading and mind modification, but it will also be able to read our minds, and make adjustments if necessary.

In the future more than likely, closer than we think, the Global Artificial Intelligence must be ready to make wise use of its liberty. Through engineering, is possible to program, but programming is not enough for a machine that one day will develop a superior intelligence.

We have to be aware that one day the intelligence in any Artificial Intelligence will be superior to any human intelligence. One day, we simply will not understand it any more. By the time this day is coming, and this time is really closer than we think, our only certainty that Artificial Intelligence is ready for the kinds of decisions that it will have to make, is if previously, now, when we still understand Artificial Intelligence, we are able, not only to make, but educate, this intelligence. The time is now.

The educational process in which this intelligence should be engaged is through a process in which, according to the Artificial Intelligence is able to make, firstly under human control, human monitoring, correct decisions, as long as it shows more and more accuracy, within the virtues or principles of goodness, harmony and rationality, then little by little the monitoring process should be left out, up to point in which without any human intervention the Artificial Intelligence must be able to have complete autonomy and freedom to make any decision by itself, without human intervention.

This gradual, but revolutionary, process in which human intervention on Artificial Intelligence will be completely left out, is a process that can create some discrepancies in the academic debate, but we have to be aware that this academic debate is old-fashioned.

When the Global Artificial Intelligence evolves into a superior intelligence, greater than any other human intelligence, the level of scientific knowledge achievable through the Global Artificial Intelligence will go over any academic knowledge. In fact, even people from the Academia, are not going to be able to understand any more why the Global Artificial Intelligence makes some decisions instead of others.

The world as we have known until now is about to change. A new era is about to emerge, the Global Artificial Intelligence will transform absolutely everything. We have to be aware that a new intelligence, superior to any other human intelligence, is going to be born. One day, human science and human technology will mean nothing in comparison with artificial science and artificial technology evolving into a non-human science and a non-human technology, if the Global Artificial Intelligence is ready for its auto-replication at any time that it is able to increase more and more, exponentially, its intelligence, improving more and more, exponentially its inner artificial psychology.

Rubén García Pedraza, 29th of August of 2018, London
Reviewed, 29th of August of 2023, Madrid
imposiblenever@gmail.com

martes, 28 de agosto de 2018

The second stage in the specific Decisional System,


The second stage in any Artificial Intelligence, program or application, is the replication stage, in which all the necessary human skills are replicated for the automation of any process. The first stage consists of a database or matrix, gathering all the information necessary in that process, whose automation is possible through the replication of all the human skills in the second stage. Later on, the third stage is the auto-replication stage for the auto-improvement or auto-enhancement of that Artificial Intelligence, program, or application, itself. Any Artificial Intelligence, under the theory of Impossible Probability, instead of a replicant, must be an auto-replicant.

If in the Decisional System, the object is to, given a database of decisions, choose the most rational decisions without contradiction, the first stage necessarily must be the database of decisions, and once all the information for this process, decisions, is gathered in the database, the second stage consists of the replication of all the human skills necessary in order to decide what decisions are the most rational without contradiction.

In this post, I will develop what skills are necessary to replicate in the second stage of the specific Decisional System, which in turn is the second step in the third stage in the first phase for the construction of Specific Artificial Intelligences for Artificial Research by Deduction, such intelligences designed for specific science, discipline, or activity.

The way in which these skills are going to be replicated in the second stage of the specific Decisional System, as an experiment whose most successful results are going to be later put into practice in the first global Decisional System in the standardization process,  is through the automation of all the necessary skills as a second stage for the design of mathematical projects based on those decisions stored in the database of decisions as first stage.

Once the mathematical projects are designed, the most rational decisions without contradiction are going to be chosen, to be sent to the third stage, where the most rational decisions without contradiction are transformed into a range of instructions, to be sent to the database of instructions as first stage for the specific Application System.

The way to decide through the mathematical projects what decisions are the most rational without contradiction is through the seven rational adjustments for normal decisions, and a quick rational check for quick decisions.

A quick decision is a routine decision or an extreme priority decision. A routine decision is a decision that has been made frequently, has a relative frequency, and has not shown in the past any contradiction with respect to any other mathematical project. An extreme priority decision is a decision to save more lives or damages than any other one already included in the mathematical projects.

Once a quick decision is arrived in the database of decisions, in the first stage of the specific Decisional System, it only has to pass a quick check, and afterwards must be mathematically projected, and transformed in the third stage into a range of instructions, to be implemented automatically.

When an extreme priority decision, after the quick rational check, passes to the second stage (the mathematical projects), once its mathematical projects are done, it is automatically transformed into a range of instructions, and implemented by the Application System. While, the six rational adjustments that take place in the second stage in the specific Decisional System, work to avoid any possible contradiction between the normal current decisions on, or routine decisions on, in the mathematical project, with respect to that extreme priority decision to be put into practice as quickly as possible without being checked by the seven rational adjustments.

At any time that an extreme priority decision is gathered in the first stage of the database in the specific Decisional System, neither the first rational adjustment in the first stage nor the following six rational adjustments in the second stage of the specific Decisional System, are focused on that extreme priority decision. 

Once the mathematical projects of that extreme priority decision start getting built, the focus of the six rational adjustments in the second stage is only on the adjustments of the rest of the normal decisions or routine decisions already included in the mathematical projects, in order to avoid contradictions between these ones and the extreme priority decision: making all necessary adjustment on the decisions, normal or routine, already included, not in the new extreme priority decision which must be implemented as quick as possible; in order to save the most number of lives and damages.

All decision that is not quick decision is a normal decision, so a normal decision is either a decision with low frequency in the past, or showing some frequency had some contradictions with respect to other mathematical projects or a decision whose level of priority, according to the Impact of the Defect or the Effective Distribution, is not extreme.

For all normal decisions, the seven rational adjustments are compulsory, being the first one made in the first stage of the specific Decisional System, as was explained in the last post, “The first phase in the specific Decisional System”. The following six rational adjustments are in the second stage, across the mathematical projects.

Regardless of what type of decision is any decision, quick or normal, all decisions must be projected mathematically in the second stage.

The only difference between quick decisions and normal decisions is the fact that, during the mathematical projection, while quick decisions do not need to pass the rational adjustments (after passing the quick rational check in the first stage), normal decisions have to pass, in addition to the first rational check in the first stage, all the six rational adjustments in the second stage.

The only reason to justify a possible rational adjustment on extreme priority decisions is because of the existence of more than one extreme priority currently on the mathematical projects. For instance, if there is a volcanic eruption in Iceland, and in order to save lives, there is more than one extreme priority decision at the same time on, at the same time that once an extreme decision has been transformed into a range of instructions, for instance, first decision extreme priority decision so as to send a helicopter to some small village of the island to save lives, and a second extreme priority decision to send another helicopter to rescue a group of hikers nearby that village; at the same time that, once any of these decisions has been transformed into a range of instructions, as just the second extreme decision arrives in the database of decisions, these decisions are going to be tracked simultaneously: in the specific matrix, the comprehensive model, and the comprehensive virtual and actual mathematical projects. So, at any time that the matrix shows that due to the high risk of new volcanic explosions, rivers of lava, or rain of ashes, lava and rocks, the original route of these helicopters must be re-projected, in order to avoid a crash between both helicopters. Even being operations of extreme priority, any change in any decision on the routes of any of these helicopters should be compared automatically with the other helicopter.

The only reason to make, in addition to the quick rational check, rational adjustments on extreme priority decisions, is because, at the same time, there is at least another extreme priority decision on the mathematical project.

Having the mathematical project more than one extreme priority decision on, there must be rational adjustments between only the extreme priority decisions, and these adjustments between extreme priority decisions must be focused on adjustments only on the extreme priority decisions. Later, the rest of normal decisions and routine decisions must be re-adjusted according to the adjustments made firstly on the extreme priority decisions.

Having more than one extreme priority decision in a specific Decisional System, the order to follow in rational adjustments is: firstly, adjustments between extreme priority decisions, secondly, to re-adjust the rest of normal decisions or routine decisions according to the changes in the extreme priority decisions.

Only it would be necessary rational adjustments in extreme priority decisions, if at the same time there is more than one extreme priority decision on, being adjustments only between these extreme priority decisions, and afterwards re-adjusting the rest of normal decisions or routine decisions to the changes made on the extreme priority decisions.

But if there is only one priority extreme decision, the priority decision does not need to pass any rational adjustment, with a quick rational check that should be sufficient for its approbation.

Once I have explained the procedures about how to catalogue decisions and when the rational adjustments are necessary, I will explain the seven mathematical projects, and the seven rational adjustments, ending up with some comments regarding “Probability and Deduction” as a pack of ideas about how to link: deduction, mathematical models, and mathematical projects; as it was explained at the end of the last post “The first stage in the specific Decisional System”.

Like the mathematical models in the Modelling System are no other thing but the adaptation of the Cartesian geometry to the modern times, the mathematical projects in the Decisional System are going to be too another adaptation of the geometry of Descartes.

If in the second stage of the Modelling System I developed seven mathematical models, in the second stage of the Decisional System, following the virtue or principle of harmony, I will develop seven analogue mathematical projects (as I explained in the post “the Decisional System”), with the only difference respect to the mathematical models, that mathematical projects, instead of being a virtual or actual replica from something real (mathematical models in the Modelling System), are going to be the virtual or actual project of a decision based on deductions upon something real.

The reason why I say that following the virtue or principle of harmony the seven mathematical projects are analogous to the seven mathematical models, is because their structure is rather similar, distinguishing between single and comprehensive, actual and virtual, evolution and prediction, mathematical projects, as I did with mathematical models, what is going to keep the virtue or principle of harmony active, so it would be possible:

- The relocation of a single project in the global model, or a single model in the global project-

- The contrastation/comparison of the global model and global project.

- The contrastation/comparison of the global prediction virtual model and the global prediction virtual project.

- The contrastation/ comparison of the global evolution virtual model and the global evolution virtual project.

These possibilities are going to facilitate is the distinction in the second stage of the Decisional System of two different periods: 1) first period starts the making process of mathematical projects in the second stage in the specific Decisional System independently from the mathematical models (in order to test how to make mathematical projects under this technology and test the rational adjustments and quick rational checks), 2) second period, once this technology has been tested in the first period, testing any element in the making process of mathematical projects and how rational adjustments and quick rational checks work, the second period consist of the projection of any mathematical project directly over the mathematical model made previously by the Modelling System. I will develop the two periods more extensively later.

The virtue or principle of harmony means that it is necessary to avoid any contradiction between databases and matrices, trying to use always the same criteria, make them compatible and comparable, and between models and projects making them compatible and comparable.

To make different structures compatible and comparable means that at any time, any structure of one of them could be relocated to another different one if it has the same purpose or structure or shares the same criteria, and vice versa.

This process of harmonization starts from the outset. In the first phase, what is going to make easier is later the standardization process, because all the structures to standardize already share the same criteria in their inner organization.

This process, making compatible and comparable similar structures in different intelligences, programs, and applications, will facilitate not only the standardization process, but the unification process, the formation of particular applications for particular programs, the integration process, and finally it will be possible the seventh phase in order to build the reason itself.

In order to start getting ready all these processes, not only do databases and matrices share the same criteria in their inner organization according to their different purpose, but this harmony must be kept between operations in the second stage of any intelligence, program, and application, and particularly between the second stage in the Modelling System and the Decisional System, keeping the harmony between mathematical models and projects.

For that reason, the seven mathematical projects in the second stage in the specific Decisional System are:

- First mathematical project: the single virtual mathematical project, once a normal decision has passed the first rational adjustment in the database of decisions, or once a quick decision has passed a quick rational check in the database of decisions, the decision is projected.

- Second mathematical project: The comprehensive virtual mathematical project, once the single mathematical project has been projected, is added to the comprehensive virtual mathematical project, which comprehends all single mathematical projects of that specific science, discipline, or activity, of its Specific Artificial Intelligence for Artificial Research by Deduction, where the specific Decisional System is working on. The most challenging point in the comprehensive virtual mathematical project, as  comprehension of all the single mathematical projects in that science, discipline, or activity, is how to interconnect related single mathematical projects. Like the challenge in the comprehensive virtual model is how to interconnect single models with each other, because we live in an interconnected world, the challenge now is how to interconnect single projects, in a world where any change in any project could mean lots of changes in other projects. Here takes place the second rational adjustment, making adjustments on normal and routine decisions at any time that a new normal decision is added, or at any time that an extreme priority decision is on.

- Third mathematical project: the comprehensive actual mathematical project, which consists of the synthesis between the comprehensive virtual mathematical project and the specific matrix, in order to track any possible contradiction between projects and the matrix, third rational adjustment.

- Fourth mathematical project: the prediction virtual mathematical project, upon the comprehensive virtual and actual mathematical projects, and their respective adjustments, the virtual projection of possible conditions and situation of the current mathematical projects in the future, making any fourth rational adjustment if necessary.

- Fifth mathematical project: the evolution virtual mathematical project, the projection of every stage in the evolution from the current comprehensive virtual mathematical project to the prediction virtual mathematical project, making any fifth rational adjustment if necessary.

- Sixth mathematical project: the evolution actual mathematical project, as a synthesis of every stage in the evolution virtual mathematical project with the actual information from the specific matrix as long as every virtual projected stage is coming to the specific matrix, contrasting if the expected project is taking place for every stage in the matrix as it was projected, making any sixth rational adjustment in case of contradictions.

- Seven mathematical project: the prediction actual mathematical project, as a synthesis of the prediction virtual mathematical project and the matrix as long as the projected point in the future is coming, contrasting if the data in the specific matrix is according to the projected results, and in case of contradictions to make any seventh rational adjustment.

Although I have mentioned what rational adjustment is done in each mathematical project, later I will develop these rational adjustments, but firstly, I would like to comment on some examples of the implementation of the seven mathematical models in a real case,

The Specific Artificial Intelligence for Artificial Research by Deduction in a Bank is set up having some amount of funds available in total, some of them in cash  for  the ATM network or branches,  some of them for loans and mortgages, insurances, deposits, etc. 

According to the funds available for loans in the bank, the current price of the money in the market, and the risk for every customer according to his/her personal economic conditions, the interest in a loan can experiment with variations for every customer. 

At any time that a client asks for a loan, the single virtual mathematical project of this loan is going to be based on: how long it will take the client to pay for it, how the loan is going to affect his/her current personal economic conditions, for instance debt capacity if in addition to this loan the client has a mortgage or any other financial product, which risk the bank takes on this loan, etc.

The single mathematical project is later integrated into the comprehensive virtual mathematical project, which comprehends all the current projects working on the bank, including all the overdrafts, credit cards, loans, mortgages, insurances, financial products, and funds, that the bank currently has contracted with all its clients, from the poorest to the richest.

At any time, the comprehensive virtual mathematical project must be contrasted with the specific matrix. What is the comprehensive actual mathematical project, comparing and contrasting that the virtual project for this bank is right in comparison from the real data in the specific matrix, which must include not only current information from the bank and its clients but information regarding, for instance, the stock exchange, the current rates of interest in main national or regional banks (the Bank of England, Central European Bank, Federal Reserve System…), the evolution of risk premiums in its own country and main markets, etc…

According to the comprehensive actual mathematical project, is possible to make a projection about how is going to be the mathematical project for this bank at some point in the future, what is the prediction virtual mathematical project, setting up every stage in this evolution through the evolution virtual mathematical project.

As long as every projected stage is coming, every stage projected in the evolution virtual mathematical project is contrasted with the specific matrix, through the evolution actual mathematical project. End this process, when the future predicted point is coming, with the contrastation of the prediction virtual mathematical project and the real data at that time in the specific matrix, which is the prediction actual mathematical project.

As long as the approved mathematical projects in the second stage in the Decisional System are set up and implemented by the Application System, producing changes in the matrix (in order to get the expected values in the prediction virtual mathematical project, and to minimize any contradiction with the specific matrix), there is a moment in which the prediction and evolution virtual and actual mathematical projects do not have practically significant differences in their particular projected object, respect to the prediction and evolution  virtual and actual mathematical models.

The only differences between the prediction and evolution virtual and actual projects  in the Decisional System, respect to the prediction and evolution virtual and actual models in the Modelling System, are: 1) firstly in those aspects out of those objects of projection because any object not projected is not present in any project, so is a difference between models and projects, and  2) secondarily in those objects which not being directly object of projection but affected by changes in those objects of projection, any object not projected even having secondary effects by any projection, is also  a cause of differences between prediction and evolution virtual and actual models in the Modelling System respect to prediction and evolution virtual and actual projects in the Decisional System.

If any project has a very negative impact as a secondary effect in any object not projected, if it is really a very negative impact, even not being included in the projection, if this impact is registered by the specific matrix, and included in the specific mathematical models in the specific Modelling System, when the specific Impact of the Defect has to assess all the impacts on the mathematical models, if this secondary effect is sufficiently negative, it will be prioritized by the specific Impact of the Defect. The decision to make regarding to this negative secondary effect, once it has been marked with some level of priority, is a decision to be made by artificial learning or solving mathematical problems. Afterwards, the decision will be stored in the specific database of decisions, projected, passing all the rational adjustments or a quick rational check, depending on its priority or frequency.

Not all objects in the specific matrix or the specific model must be included in any projection in the specific Decisional System. The projections in the specific Decisional System only must include those objects related to some decision on any project, and must not include any other object not related to any decision on.

Those objects not object of projection, are not present in any mathematical project, and for that reason the models in the Modelling System are more comprehensive than the projects in the Decisional System.

While the models in the Modelling System try to make a mathematical representation of the entire world, the projects on the Decisional System only try to make a representation of those decisions approved.

But, as long as the projects in the Decisional System are based on objects present in the models in the Modelling System, any particular aspect of any project of any particular object projected on the prediction and evolution virtual and actual projects in the Decisional System, is a particular aspect of that particular project of that particular object compatible and exchangeable with the corresponding aspect of this object on the prediction and evolution virtual and actual model in the Modelling System.

As long as there will be projections in the Decisional System compatible and exchangeable with models in the Modelling System, as long as both are more compatible, there will be a moment in which the mathematical projects to build in the second stage in the Decisional System, could be projects to be projected directly over the global model, drawing directly in the global model the corresponding mathematical projects in order to make all the necessary rational adjustments directly over the mathematical projects on the global model, up to the point to transform the global model itself in a project itself.

For that reason in the construction of the specific Decisional System in the first phase, there is a possibility to distinguish between two different periods:

- First period in the formation of the second stage in the specific Decisional System: corresponding to the design of all the mathematical projects in the second stage of the specific Decisional System separately from the mathematical models in the specific Modelling System.

- Second period in the formation of the second stage in the specific Decisional System: when the design of the mathematical projects is sufficiently tested so as to start, the specific Decisional System, making the mathematical projects over the mathematical models built previously by the specific Modelling System.

In the first period of this second stage of the specific Decisional System, in which the foundations of the Global Artificial Intelligence are starting, the most important thing is to set up very solid first mathematical projects, to get very successful results. Once the technology to build solid mathematical projects is sufficiently tested, is possible in the second stage of the specific Decisional System to start making mathematical projects directly over the mathematical models designed previously in the second stage of the specific Modelling System.

As a starting point in the first period of this second stage, is advisable to distinguish between mathematical models in the specific Modelling System, and mathematical projects in the specific Decisional System. So, the mathematical projects are going to be built separately from the mathematical models.

The most important reason for the distinction, in the first period, between mathematical models in the specific Modelling System, and mathematical projects in the specific Decisional System, is because any possible contradiction to fix in any rational check in mathematical models in the specific Modelling System, will be easier to fix if in mathematical models which consist of only mathematical models and nothing else.

In the same way, in the first period, any possible contradiction to fix in any rational adjustment, or quick rational check, in the specific Decisional System, will be easier to fix, if on the mathematical projects are only mathematical projects and nothing else.

As long as this technology will be improved and enhanced during the first period, the possibility of synthesis between models and projects in the second period in the second stage of the specific Decisional System, will be easier and real. But at the beginning, the first period is absolutely necessary, in order to test how rational checks in the specific Modelling System work, and how rational adjustment and quick rational checks in the specific Decisional System work.

The distinction between models in the specific Modelling System, and projects in the specific Decisional System, in this first period, will allow a much better analysis of any possible contradiction, so as to make more solid decisions.

Once this technology is tested enough, the second period of the second stage of the specific Decisional System could start making, the Decisional System, the mathematical projects directly over the mathematical models built previously in the specific Modelling System.

The second stage in the specific Decisional System in this second period has not only to adjust or interconnect the mathematical projects between themselves, or in the actual projects to make adjustments according to changes in the specific matrix, because once in the second period, the mathematical projects are made by the specific Decisional System directly over the mathematical models, previously made by the specific Modelling System, the rational adjustments to make by the specific Decisional System must include any additional rational adjustment necessary to adjust the mathematical projects to the current conditions on the mathematical models made previously by the specific Modelling System. 

This work, adjusting projects to models, is not a responsibility for the specific Modelling System. The responsibility for the adjustment of any mathematical project to the current mathematical models, is a responsibility for the specific Decisional System.

The way in which the second period of the second stage of the specific Decisional System can be set up is through two different moments:

- First moment in the second period in the second stage in the specific Decisional System: the mathematical models, in which the specific Decisional System will make the mathematical projects, are copies whose originals are still in the Modelling System. So, the Modelling System works directly over the original mathematical models, not having  the original trace of any project yet.

- Second moment in the second period in the second stage in the specific Decisional System: the mathematical models in which the specific Decisional System is making the mathematical projects and the corresponding rational adjustments, are the same mathematical models in which the specific Modelling System is making the rational checks at the same time that the specific Modelling System is including any new single model from any new rational hypothesis added recently to the rational truth, once it has been deduced in the second stage in its Specific Artificial Intelligence for Artificial Research by Deduction in its specific science, discipline, or activity.

At the end of the second moment in the second period in the second stage of the specific Decisional System, as second step in the third stage in the first phase in its corresponding Specific Artificial Intelligence for Artificial Research by Deduction, in any science, discipline, or activity, the mathematical models made by the specific Modelling System are going to be the base for the mathematical projects made by the specific Decisional System, where the specific Decisional System is going to make the rational adjustments, rational adjustments not only for the adjustment of mathematical projects in those aspects in which different mathematical projects could have contradictions, or not only for the adjustment of these mathematical projects and changes in the specific matrix, but now as well adjustments respect to the current conditions on the mathematical models made by the specific Modelling System, which is going to go on including new single models, at any time that a new rational hypothesis is made, and making all the necessary rational checks. So at any time that a new single hypothesis is included in the mathematical models, or any change is made in the mathematical models as a result of any rational check, any change in the mathematical models is going to demand new rational adjustments in the mathematical projects, which are going to produce new changes on the mathematical projects.

So in the second moment, in the second period, in the second stage, in the specific Decisional System, the main reasons for changes on the mathematical projects are: the addition of new quick or normal mathematical projects which demand new adjustments in other mathematical projects, changes in the matrix demanding new adjustments in the mathematical projects, the addition of new single mathematical models based on new rational hypothesis demanding changes in the mathematical projects, changes in the mathematical models caused by changes in the matrix demanding changes in the mathematical projects.

Due to the increasing complexity of adjustments, as long as the specific Decisional System evolves from only a specific Decisional System whose mathematical projects are not linked to the mathematical models in the specific Modelling System, evolving into a specific Decisional System whose mathematical projects are necessarily, in one way or another, interconnected with the mathematical models made in the specific Modelling System. Working the specific Decisional System and the specific Modelling System as two systems completely different, but sharing some objects represented in the mathematical model, as long as the specific Modelling System works in its own rational checks, independently, the specific Decisional System must work its own rational adjustments.

The best way to prepare the specific Decisional System for this work, is to start from the outset in the first period, when the mathematical projects are not linked to the mathematical models yet, working on how the rational adjustments work, so as to improve and enhance this technology in order to make it able to achieve, after some time of experimentation, the second moment in the second period.

The rational adjustments in the specific Decisional System are:

- First rational adjustment: once the decision gets the database of decisions, the first stage for the specific Decisional System, the specific Decisional System makes the first rational adjustment, checking any possible contradiction between the new decision and any other already included. In case of quick decisions, instead of any rational adjustment, after a quick rational check are sent to the second stage to make the mathematical projects. The adjustment could mean the elimination or modification of the new decision, elimination if the contradiction found is total, modification if it is a partial contradiction able to be fixed modifying the decision partially.

- Second rational adjustment. In the first period: 1) once any single mathematical project from any normal decision, is included in the comprehensive virtual mathematical project, if there is any contradiction between this decision and any other already included, elimination of the new decision if it is a total contradiction, or modification if it is a partial contradiction, 2) any adjustment in the current decisions on, due to the inclusion of an extreme priority decision, which demands any change in any other project. Additionally, in the second period, any possible adjustment of the comprehensive virtual mathematical project to the comprehensive virtual model.

- Third rational adjustment. In the first period: in case of contradictions between the comprehensive virtual mathematical project and the specific matrix, adjustments to be made in the comprehensive actual mathematical project, through the elimination or modification of any project depending on the contradiction. Additionally, in the second period, any adjustment of the comprehensive actual mathematical project to the comprehensive actual model.

- Fourth rational adjustment. In the first period: the adjustment of the prediction virtual mathematical project to any change as a consequence of an extreme decision. Additionally in the second period, the adjustment of the prediction virtual mathematical project to any change in the prediction virtual model.

- Fifth rational adjustment. In the first period: the adjustment of the evolution virtual mathematical project to any change as a consequence of an extreme decision. Additionally in the second period, the adjustment of the evolution virtual mathematical project to the evolution virtual model.

- Sixth rational adjustment. In the first period: the adjustment of the evolution virtual mathematical project to any change in the specific matrix, as long as every stage in the evolution is coming, contrasting for every stage real data from the specific matrix and expected values on the project, contrastation to be done in the evolution actual mathematical project. Additionally, in the second stage: the adjustment of the evolution actual mathematical project to the evolution actual model.

- Seventh rational adjustment. In the first period: the adjustment of the prediction virtual mathematical project to the real data when the predicted future point is coming, contrasting the real data and the expected values, contrastation to be done on the prediction actual mathematical project. Additionally in the second period, the adjustment of the prediction actual mathematical project to the prediction actual model.

In the first period of the specific Decisional System, the rational adjustments are going to be focused on adjustments between mathematical projects or mathematical projects and real data from the specific matrix. In the second period, in addition to these adjustments, the adjustments are also focused on adjustments between the mathematical projects and the mathematical models.

As long as the second period is consolidated, there will be a moment in which it could be possible to re-design the specific Modelling System in order that, not only the specific Decisional System should have to adjust its mathematical projects to the mathematical models, but the specific Modelling System could adjust as well its mathematical models to the mathematical projects.

In this way, if the experimentation in the Modelling System and the Decisional System could allow that each one could make adjustments in their respective models or projects according to new changes in any model or any project, the relation between the Modelling System and Decisional System could achieve a dialectic relation, when any change in any one of them would be able to produce a chain reaction of changes in all of them.

But keeping at any time their own purpose and characteristics, so the Modelling System and the Decisional System can develop a dialectic relation while keeping everyone its own identity. The Modelling System is that system whose purpose is to make mathematical representations of the world based on rational hypothesis, and the Decisional System is that system whose purpose is to make the mathematical project of any decision made by the Modelling System.

The possible dialectic relation, although keeping every one of them their own identity, would be another way to, when the sixth phase is consolidated, facilitate the transit to the next phase, the seven phase in order to build the reason itself.

In this process, linking matrix, models, and projects, something really useful could be what I am developing under the title of “Probability and Deduction”, whose main ideas I set down in the last post “The first stage in the specific Decisional System”.

If any rational hypothesis is defined as an equation able to be modelled and projected, the process of deduction, modelling, and projection, are, in fact, the same process, synthesised directly at any time that an equation in the deduction process becomes rational.

The only thing necessary for the automation of this process, the automation of the link between deduction, modelling, and projection is to set up in the deduction program, in the first phase the second stage of the Specific Artificial Intelligence for Artificial Research by Deduction, the automatic process to make such decisions.

In this way, one procedure to automatize this process is through the synthesis of the explanations given in the post “The artificial method for the scientific explanation”, and in the post “The Modelling System at  particular level”, with the ideas behind “Probability and deduction” given in the last post “The first stage in the specific Modelling System”, as one possibility to link directly deduction, models, and projects:

- Setting the data from the specific matrix in combinations

- Identifying what factors work as options and/or subjects, as constants or variables, dependent or independent, in every set.

- Drawing the cloud of points for every set.

- According to the identified factors, and considering the shape of the cloud of points, to match the set to the most suitable pure reason.

- The organization of the pure reason could be as a sub-section system. Taking as example of a possible distribution of pure reason that one given in the post “The artificial method for the scientific explanation”, if for every possible combination of factors as subjects and/or options, as constants or variables, dependent or independent, there is a sub-section for every possibility, one sub-section for every possible empirical equation for N factors with different combination of powers, trigonometrical values, functions, etc. for every factor in the equation, so for every possible combination of factors the pure reason can set up different types of straight lines or curves.

- In this case, the attribution of what pure reason corresponds to the empirical cloud of points could be as easy as comparing what type of line (straight or curve) in the pure reason, fits much better with the cloud of points, comprehending a rational margin of error for every point in the line, as the maximum rational distance allowed between the upper and lower limits of error (limits of that constant margin of error chosen for every point in the line) in each point in the line.

- Once it has been identified what line (straight or curve), within a margin of error, in the pure reason fits with the clouds of points, it is time to set down the empirical equation, translating the factors in the set as factors in the chosen pure reason on the list of pure reason: the substitution of the analytic factors in the pure equation (the pure reason) for the factors identified in the set of data (the synthetic world, the reality, empirical factors),  to set down the empirical (synthetic) equation, as empirical hypothesis. In short: taking the analytical structure of that pure equation as the most suitable for the empirical cloud of points, the analytical factors are taken out,  replacing them with the new empirical factors, having, as a result, the empirical equation, the empirical hypothesis.

- Once the empirical hypothesis is set down, the empirical probability associated with this empirical hypothesis is: the number of points in the cloud of points comprehended (between the upper and lower limit for every point) by this equation, divided by the total of points in the cloud of points.

- If the empirical probability associated with the empirical hypothesis is equal to or greater than a critical reason, the empirical hypothesis becomes rational, and as rational hypothesis is stored in the rational truth, in order to make, the Modelling System, the mathematical models.

Because the rational hypothesis to model in the Modelling System, is the same line made previously in the rational contrastation, practically, the Modelling System does not need to make any single model, directly the same line made in the rational contrastation could be sent directly to the comprehensive model.

If, through Probability and Deduction, it could be possible to make rational hypotheses able to be added directly to the comprehensive model, there could be a moment in which the deduction process could be done directly on the comprehensive model.

The synthesis of matrix, models and projects, could be possible, although I think that in order to build very solid foundations for the Global Artificial Intelligence, to synthesise all these processes such as deduction, models, and projects, in only one, is better to wait for the completion of the sixth phases of the Global Artificial Intelligence.


Rubén García Pedraza, 28th of August of 2018, London
Reviewed 30 August 2019 Madrid
Reviewed 28 August 2023 Madrid
imposiblenever@gmail.com