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?


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domingo, 16 de septiembre de 2018

Third stage in the standardized Decisional System


The third stage in the standardised Decisional System is responsible for the transformation of all rational decisions without contradiction on the mathematical projects, into a range of instructions, to be sent to the Application System for their implementation.

Every decision that is processed by the Decisional System, and its respective instructions processed by the Application System, is a decision on the mathematical projects. Once the range of instructions has been completed by the Application System till the end, till the last instruction, or once a possible modified decision has been completed till the last instruction according to the adjustments made, is when a decision is off the mathematical project.

In the third stage of the Application System, once a range of instructions, or a range of instructions depending on adjustments have been completed, the third stage of the Application System in addition to the report sent, by all the robotic devices responsible for the implementation of every instruction, to the Learning System, the Application System reports the total completion of all the instructions related to one decision to the Decisional System in order that the Decisional System can turn the decision off the mathematical projects.

All decision, indicating if it is on or off, is stored in the historical records of the Decisional System, and the Decisional System must permanently revise the historical records each time that new decisions are filed in the database of decisions in the first stage, in order to decide if that decision could be considered by the Decisional System as an automatic decision, according to its records in the historical records of the Decisional System.

One decision can become automatic when the relation of decision and combination of measurements in a combination of factors, within a margin of error, has a regular pattern, at least a regular pattern so as to transform that decision into automatic to be turned on at any time that the Decisional System through the actual projects on the actual models, having already access to the global matrix and the global model, realizing that the conditions related to that automatic decision: specific combination of measurements in a specific combination of factors; is a combination on the global matrix and/or the global model so as to turn on automatically on the global project the corresponding automatic decision related to that combination of measurements and factors.

In order to transform any decision into an automatic decision, at any time that new decisions are on the database of decisions, the Decisional System revises the historical records of decisions identifying If in the past this decision or similar, within a margin of error, not having contradiction have been implemented, having that decision a regular relation respect to some kind of combination of measurements and factors in the global matrix and model.

For the consideration of any decision as an automatic decision, it is not so important the question of whether originally that decision was a routine decision, an extreme decision, or a normal decision.

In fact, there are many routine decisions that are not specifically related to a specific combination of measurements of factors so as to become automatic. The decision to withdraw money from an ATM is a routine decision, but not always related to the same causes. In general, if I use an ATM to withdraw cash is because I do not have cash, but not always. I can have cash, but not enough for a transaction which demands more quantity of cash.

Additionally, nowadays more and more and more people are getting used to working without cash, only using credit or debit cards as a method of payment even in routine transactions.

There are many reasons why I need cash, and it is not something that can be automatic. If a particular program for a particular person automatically withdraws cash at any time when this particular person is out of cash, maybe be useful, but not always recommended.

Routine decisions in general are more likely to become automatic decisions rather than normal decisions, but not for that reason. All routine decisions must be automatic. There are many routine decisions that we practically make every day about our financial status, due to their personal connotation, how we manage our own resources, and what is no other thing but how we are, our most human inner personality, is something that should not be automatic.

Instead, there are many extreme decisions, that not being very frequent so as to be routine decisions, except in some countries, earthquakes in Chile or Japan, or hurricanes in the Caribbean Sea, are extreme decisions susceptible to becoming automatic because, although not being very frequent but as they are related to some extreme combination of measurements and factors, the automation of these decisions at any time that this combination of measurements and factors happen, the automation of this decisions can save lives and damages.

For the transformation of any decision into an automatic decision, if frequency is an important criterion, frequency must not always be taken as the most important criterion. There are situations in which in spite of the frequency, psychological aspects of a decision can make this decision not very suitable for its transformation into an automatic decision.

In order to resolve this situation, as soon the third phase of standardization is achieved, and because is something that is going to make faster the decisional process, the creation of particular programs for particular applications for particular things or beings, including particular programs for particular applications for every particular human being, evolving into a superior level in the cyborg psychology, is absolutely necessary.

Routine decisions, automatic decisions, and cyborg psychology are going to relieve the pressure over the Global Artificial Intelligence, a machine that must be able to process millions and millions of decisions per minute, second or less.

The decisions to be transformed into instructions in the third stage of the Decisional System in general can be described as: quick decisions (routine and extreme), normal decisions, automatic decisions, and any possible adjustment in any decision as if it were in fact another decision more.

As a methodological proposal for the transformation of all decisions into instructions, I suggest the following procedure, as I did in the post “The third stage in the specific Decisional System”, but now for the third stage in the standardised Decisional System:

- Identification of all factors in the mathematical expression of any decision.

- Identification of what actions are required for every identified factor in the mathematical expression of any decision.

- Transformation of every action, for every factor in the mathematical expression of any decision, into robotic operations.

In fact, the possible mathematical expressions in which a decision could be expressed can be catalogued as: equations, trigonometrical correlations, artificial learning based on empirical probabilities associated with subjects or options, decisions based on solving mathematical problems.

As all possible decision is based on a mathematical expression, the transformation of any mathematical expression (equation, trigonometry, probability, arithmetical operation) into instructions requires basically the identification of: factors involved, actions required, translation of these actions into robotic operations; in essence is the transformation of mathematical sentences into robotic acts, the  translation of mathematical language into robotic acts. Basically, dialectic language and function.

At some point, the transformation of any decision based on a geometric, algebraic, or arithmetic sentence into robotic operations is the translation of mathematical language into robotic functions.

The transformation of decisions into instructions as translation of mathematical expressions into robotic functions, is going to be very important for those normal decisions which for first time are made, not having any previous record, not relative frequency at all, so at any time that a completely new decision, not having neither records nor relative frequency, has to be transformed into practice, the translation of the mathematical expression (geometric, algebraic, arithmetic) into robotic functions, must be done with high accuracy, because based on the records of this very first time in which this decision has been made for first time, at any time in the future that this decision is made again, the robotic functions in which this decision was transformed for first time, are going to be the robotic functions that are going to be taken as a base for further adaptations in the future to any new position, activity, priority level, in which this decision could be made again in the future.

As any mathematical expression of any decision is transformed into robotic functions, the robotic functions associated with this decision, are stored in the historical records of the Decisional System, as well as any possible further adjustments, as a base for further decisions in which this very same decision can be made.

Routine decisions as they have been implemented before with some relative frequency, the range of instructions to be sent to the Application System, much more than a new analysis of the instructions in which these decisions must be transformed at any time that they are on the mathematical project, what the Decisional System should do, to save time and resources, is to take the structure of past range of instructions related to that routine decision in the past, adapting the previous ones to the actual conditions in the actual projects.

If a routine decision was made in the past, but in different position or even different sub-section related to a different specific activity, but the very nature of that decision is the same, for instance when you are driving there are many decisions that, regardless of where you are, are mostly routine decisions, such as waiting when the traffic light is red, a decision that you can make in different activities, when driving in your free time, or in a professional activity, the range of instructions of this routine decisions driving, is a range of instructions to be applied at any time that you drive, the only thing that your personal program for your personal application has to do when you drive, is the adaptation of this routine decisions: in every new position (sub-factor) according to the activity that you are doing (sub-level); adapting also this routine decision to the priority level: in general you must stop when the traffic light is red, but if in the backseat you are carrying someone with a very grave haemorrhage , or a woman about to giving birth, giving an extreme priority level the particular program could authorise not to wait for the traffic light.

In general, the transformation of a routine decision into a range of instructions, is the adaptation of the range of instructions associated with this routine decision in the past, adapting this range of instructions to the current sub-factor (position), subject (sub-section), priority level, in which now this routine decision is on the mathematical project.

Likewise, the transformation of an automatic decision into a range of instructions, is the adaptation of the automatic range of instructions associated with the automatic decision, to every sub-factor (position), sub-section (subject), priority level, in which the automatic decision is automatically on.

Automatically, my AI friend Yolanda can decide to open the umbrella at any time it rains; this automatic decision, in order to be applied, must be adapted to every new position and activity in which Yolanda is making this operation automatically.

If working, helping the passengers to get on or off the aeroplane, Yolanda would not only use the umbrella to cover herself but also the passengers whom she is assisting. But doing the shopping in her free time, she would only need to cover herself, and at any time that she gets in or out of any shop, she should close or open the umbrella.

In general speaking, routine and automatic decisions to be transformed into range of instructions, the only thing that the third stage of the Decisional System must do, is the adaptation of the current range of instructions related to these decisions in its historical records to the actual position (sub-sector), activity (sub-section), priority level, in which this routine or automatic decision has to be implemented.

Normal decisions, although not having a high relative frequency in the past, but not being applied for first time, being already transformed into a range of instructions in the past, so not being this time the first time to be made, the historical records about the range of instructions in which these decisions were made before, are the base as well for the future implementation of these decisions, at any time that these decisions are made again, although not very often, adapting as well again the stored range of instructions in the historical records of this decision to every new position, subject, priority, each time.

Normal decisions without absolutely any record or relative frequency, being implemented for the first time, are the most typical case in which the third stage of the Decisional System must analyse the factors in the mathematical expression of these decisions, identifying what actions require every factor in the mathematical expression, and transforming this actions into robotic operations: robotic functions.

Every robotic operation, function, is an instruction; the total number of robotic operations, functions, to be made in all factors involved in the mathematical expression of a decision, are in total the whole range of instructions to be sent by the Decisional System to the Application System.

All decisions to be implemented: quick (routine or extreme), normal (for the first time or not), automatic; having the third stage of the Decisional System translated the mathematical expression into robotic function in those ones to be made for first time, or having the Decisional System adapted the previous range of instructions, stored in the historical records, to the new position, subject, priority, in all those decisions which have some historical record, all instruction is sent to the Application System.

When sending the instructions to the Application System, what the Decisional System has to do, is: once every new instruction for every new decision without records or relative frequency, or those instructions from decisions with some records in which the stored instructions on the records of this decision have been now adapted to the position, subject, priority, having already translated/adapted every decision, every instruction must be sent to the correct file in the database of instructions in the Application System.

The database of instructions in the Application System is the first stage of the Application System, but the responsible for the delivery of the correct instruction to the correct file in the database of instructions must be the Decisional System, because according to: the sub-factor, sub-section, priority; of every instruction, the Decisional System must file every instruction in the correct file in the database of instructions in the Application System, according to: sub-factor, sub-section, priority.

In fact, when translating the mathematical sentence of a completely new decision into robotic functions, or adapting a decision to the current situation, the third stage of the Decisional System, in addition to: sub-factor, sub-section, priority; must add two new categories: time and order; the category of time for every instruction indicates when the instruction must be implemented. The category of the order of an instruction indicates the order in which every instruction, within the range of instructions in which the instructions were translated, have been ordered, among the total number of instructions in ordinal number. Every instruction within a range of instructions, should be ordered in terms of: first, second, third, …nth; what ordinal number corresponds to every instruction in the range of instructions, indicating the specific order of that instruction in that specific range of instructions, in addition to when, time, the instruction should be implemented.

The importance of adding time and the ordinal order for every robotic function is not only because is going to help the Application System in order to know when every instruction has to be implemented, but because having labelled every single robotic function in which every single instruction is expressed saying time and order of application, at any time that there is a change in the mathematical projects due to new adjustments, according to the time in which the adjustment is made, and according to what instruction is about to be applied  by the Application System in accordance with the order in which the instructions were set up chronologically over time, as soon the adjustment is made, the adjustment must imply that all the former instructions not applied yet, must be adjusted following the new instructions according to the new adjustment. This is only possible if every instruction has been previously labelled with the time and order to be applied.

For that reason, the prediction and evolution of virtual and actual projects are so important, because on real-time are going to provide information about the global matrix and as of the second instant the global model, as long as the range of instructions of every decision is put into practice in chronological order over time, so at any time that a rational adjustment is necessary for any decision, the adjustments made over the prediction and evolution virtual and actual projects are going to affect all those instructions not applied yet. These instructions not applied yet are going to be the real object of these adjustments.

In more detail, at the end of this post, I will develop the rational adjustments due to the implications that Probability and Deduction have for this process.

Once the Decisional System has translated/adapted every decision into robotic functions for the current position, subject, priority, having ordered the decisions, the Decisional System files every instruction in the correct file in the database of instructions in the Application System, according to: sub-factor (position), sub-section (subject), priority, time (when it must be implemented), order (after what other instruction it must be implemented, and what other instruction goes after).

The way in which the Application System is going to work with the instructions already stored in the database of instructions as the first stage for the Application System is as follows:

- Once the Decisional System has filed every instruction in the correct file in the database of instructions according to: position, subject, priority, time, order; the Application System is going to make the first rational supervision, supervising that there is no contradiction between this instruction and those ones already stored across all the database of instructions.

- Having supervised that the instruction has no contradiction, according to the sub-factoring level and sub-section, the Application System has access to the conceptual: schemes, sets, maps, models; related to all systems, programs, applications, devices, working for the Global Artificial Intelligence (provided by the Unified Application in the fourth phase, in the fifth phase the conceptual hemisphere of the matrix), the attribution operation that the Application System does is to match the instruction to that intelligence, system, program, application, device, working for that sub-section in that sub-factoring level.

Having the Application System match the instruction to that intelligence, system, program, application, device, working for the sub-section in the sub-factoring level in which the instruction has been designed, then that intelligence, system, program, application, device, put into practice the robotic functions according to the time and order in which the instruction has been filed in the database of instructions.

Once the intelligence, system, program, application, or device, has been put into practice in the sub-section of its sub-factoring level  the instruction assigned at that time and the order in which it was instructed, the intelligence, system, program, application, send a report with the results: if the instruction required was completed successfully or not (as for instance, when we send a fax and the fax gives a report saying if the message was ok or there was an error, or when doing our computer an operation, if there is an error, tells us the code of error); to the database of the Learning System.

The database of the Learning System is the first stage in Artificial Learning, and the second stage  of Artificial Learning analysing the records of efficiency, efficacy, productivity of every intelligence, system, program, application, device, working for the Global Artificial Intelligence, if any of them have a relative frequency of errors equal to or greater than a critical reason, then the Artificial Learning in the third stage studies the origin of this error in order to send the Decisional System any possible decision about how to fix this intelligence, system, program, application Devise, analysis that the Learning System does in the third stage.

Once in the second stage, the Learning System has identified an intelligence, system, program, application, device, whose relative frequency of errors (according to the reports sent to the database) is equal to or greater than a critical reason, in the third stage the Learning System compares this intelligence, system, program, application, device, with that other similar intelligence, system, program, application, device, doing the same activity in the same subject (sub-section) in other position (other sub-factoring level), with best results having the least number of errors, so the least empirical probability of error, or at least an empirical probability of error equal to or less than a critical reason.

If comparing two different intelligences, systems, programs, applications, devices, doing the same activity in the same subject (sub-section), although in different positions, one of them have the best results, and the results of the other one are below the critical reason, in order to fix the second one with worse results, the Artificial Learning compares the robotic and artificial psychological structure of both intelligences, systems, programs, applications, devices, and if there is any different between them (and this difference is not explainable due to different weather, geological conditions, or something like that related to their positions), the different structures in the intelligence, system, program, application, device with worse results must be modified in order to be the exact replica of the structure of that other intelligence, system, application, program, device, with much better results (if the different results are not related to climatic or geological conditions, or any other variable depending on the position).

Once the Artificial Learning has identified what robotic or artificial psychological structures to fix in the intelligence, system, program, application, device, with worse results, in order to be an exact replica of that other one with better results (providing that the differences are not related to specific conditions in the respective positions), the decisions about what structures to fix in the worse one to be an exact replica of the best one, are decisions that the Artificial Learning sends to the Decisional System, and if the Decisional System, after passing the quick check or rational adjustments, authorises these decisions, the Artificial Engineering is the responsible for fixing that intelligence, system, program, application, device, according to the instructions, sent by the Learning System and approved by the Decisional System, in order to transform this intelligence, system, program, application, device, as exact replica of that other intelligence, system, program, application, device with much better results.

The global Decisional System must make mathematical projects about absolutely everything, especially in the sixth phase, even mathematical projects about the Global Artificial Intelligence itself, in order to auto-replicate the Global Artificial Intelligence at any time, making as many robotic or artificial psychological subjective auto-replications, in addition of how many objective auto-replications does at any time that makes a decision over any real object in the synthetic world, the reality as another synthetic product is in fact the real object to be really auto-replicated by the Global Artificial Intelligence.

Any decision on any real object in the synthetic world is, in fact, a real objective auto-replication, the auto-replication of the reality itself.

Finally, I will end up making some comments about “Probability and Deduction”, whose ideas I will develop in an independent book in the future.

In essence, the main purpose of Probability and Deduction is to prepare the way for the seventh phase, making possible the union of the three stages of the final Global Artificial Intelligence in only one stage, the reason itself. In this only one stage the three stages of: matrix, deduction, modelling/projection; can be reduced to only one stage with two expression: geometrical/algebraic; geometrically the matrix, the models, and the projects, can be reduced not to a single cloud of points where to include absolutely all factors, because in fact this would not be a simple cloud, this must be a universe of points. The reduction of the matrix, models, projects, into a universe of points would be the geometrical expression where to make deductions, and directly over the rational equations over the universe of points directly to model and project at the same time. But the algebraic expression of this universe of points will be the reduction of the original matrix of data to a matrix of equations, so every single column and every single file in the original matrix of data in the sixth phase could be reduced to equations, reducing every single column into an equation, and reducing every single file into an equation, substituting the matrix of data for a matrix of equations.

In the seventh phase, instead of three stages, there will  be only two different expressions of the same thing, the reality, a reality in a permanent process of auto-replication. The permanent auto-replication of the reason itself will be the permanent auto-replication of the reality itself and vice versa, the permanent auto-replication of the reality itself will be the permanent auto-replication of the reason itself.

In the seventh phase, instead of working with a matrix of data, the matrix of data will have become a matrix of equations, and the solution of the matrix of equations will be the closest we can get to the pure truth itself. The solution itself resides in the transformation of the universe of data into a matrix of equations.
In relation to the third stage of the Decisional System, what is really important is to consider every single adjustment over any decision on the mathematical projects, as a decision itself.

There are two kinds of adjustments depending on how deep the contradiction is: the elimination of the decision if the contradiction is full, and the amendment of the decision if it is a partial contradiction.

The criterion to distinguish if an adjustment is for the elimination or the amendment of a decision depends if the contradiction between two or more decisions can be solved or not.

If the contradiction cannot be solved, it is a full contradiction, the decision with the lower level of priority is eliminated, leaving the decision with higher priority.

If the contradiction can be solved, the decision to be amended is the decision with the lower priority level.

There are at least four methods for the amendments, depending on how the decision to be amended was made.

- Solving  maths problems, if the decision with the lower level of priority is only a solution for a mathematical problem, the method for the adjustment of this decision includes the new contradiction found in the adjustment between the factors to consider for the mathematical resolution of the problem, so having included this new information, the adjusted decision is a result of resolving the mathematical problem: re-identifying the factors in the problem including the new contradiction, identifying the arithmetical relations between the factors being aware of that contradiction, resolving the operations giving a new result, a new decision, to be translated into robotic functions as new instructions to be sent to the Application System.

- Artificial learning, if a decision was made depending on the empirical probability of some option or subject, but this option or subject causes contradictions, the possibility to resolve the contradiction by choosing another suitable different option or subject, having an empirical probability within the rational doubt, to substitute the other one.

- Trigonometrical correlations, depending on what contradiction is found, in the tangent or any other trigonometrical value, rearrange the trigonometrical values according to the new data.

- Probability and deduction, if the contradiction is due to the fact that there is a change in real data producing a change in one equation, if this change in this equation produces contradictions with respect to other equation, to make as many algebraic transformations in that other equation in order to fix the equation with that one with changes in its real data. If a big hurricane hits Florida, having been expected a big impact, and there is expected an increment in the financial resources that Banks in the United States will have to divert to insurance and credit (increment of bank loans, credit cards, new mortgages, etc…) in Florida, the transformation of all the equations ruling insurances and credits in Florida, in accordance with the expectations on these products, in accordance with the impact of the hurricane, adjusting the rest of financial resources in other financial sectors and other States to keep the banking balance respect to the increment of resources to divert to save Florida.

Having found a contradiction any rational adjustment, if the contradiction can be solved by: solving mathematical problems, artificial learning, trigonometry, Probability and Deduction; the solution of the adjustment is to fix the inferior decision, that one with the lower priority, to be adjusted to the superior decision, that one with the higher priority. But not having found any solution by any method, the decision with the lower level of priority is eliminated in order to save the decision with the higher level of priority.

For that reason even decisions obtained by Probability and Decision, having been found the rational equation in the deduction process in the second stage in the Global Artificial Intelligence, once the rational equations gets the Decisional System, must be labelled as well with the corresponding priority level, through the application of the global Impact of the Defect and the global Effective Distribution, whose explanation was given more precisely in the post “Third stage in the Modelling System in the integration process”.

In order to decide, in case of contradiction in the Decisional System, what decision must be eliminated if full contradiction, or what contradiction must be amended if partial contradiction, is necessary that all possible decisions, regardless of their origin or method in which it was made (Probability and Deduction, trigonometry, artificial learning, solving mathematical problems) must be labelled with the corresponding level of priority, assigned by the Impact of the Defect and the Effective Distribution, at global level assigned by the global Impact of the Defect and the global Effective Distribution.

Once a rational equation (rational hypothesis) is deduced by global/specific deductive programs, the model of the rational hypothesis (equation) in the Modelling System is practically the same model used in the deduction, the only contribution that the third stage of the Modelling System is going to do on the rational equation (hypothesis) is to attribute the correct level of priority according to the Global Impact of the Defect and global Effective Distribution. And the only changes that the rational equation (hypothesis) could have in the Decisional System, in case of contradictions are, once the rational equation (hypothesis) has been labelled with a priority level (in the third stage in the Modelling System), the transformation of the original rational equation (hypothesis) only in case that its priority level is inferior compared to the priority level of that other decision, if not, if the other decision has a lower priority level, is the other one, the one to be adjusted.

At any time that a rational equation (hypothesis) made by deduction, is transformed, the transformed rational hypothesis (equation) must be communicated to the database of rational hypothesis, in order to include the single model of that transformed rational hypothesis (equation), what is going to be practically the double consideration, once the third instant is achieved, of this rational hypothesis as rational equation simultaneously, working: as rational hypothesis for the Modelling System, and as rational equation for the Decisional System.

In the case of having been transformed, the rational hypothesis (equation) as a factor as an option in the global matrix, then the transformation of this factor as an option in the global matrix in accordance with the transformation made in the rational equation (hypothesis).

Rubén García Pedraza, 16th of September of 2018, London
Reviewed 20 October 2019, Madrid
Reviewed 20 September 20123, London
Reviewed 16 May 2025, London, Leytostone
imposiblenever@gmail.com

domingo, 27 de mayo de 2018

The third stage in the integration process


The third stage was originally called the auto-replication stage since the first posts regarding the Global Artificial Intelligence, and since the last posts have been called the decision stage, in comparison to the first stage of comprehension and the second stage of explanation.

As a decision stage, the third stage is going to be that one in which further decisions afterwards, the deductions made by the second stage, are going to be made, with the particularity that, while the first stage and second stage are managed only by one system, the first stage by the Unified Application, the second stage by the Artificial Research by Deduction in the Global Artificial Intelligence, instead the main function of the third stage for the decision making is a decision that is going to be carried out by four systems in four consecutive steps: the responsible for the first step is the Modelling System, for the second step the Decision System, for the third step the Application System, and for the fourth step the Learning System.

In reality, the fourth step is not necessarily a belonging step to the third stage as a decision stage properly, due to the Learning System is going to make improvements across all the Global Artificial Intelligence after checking any impact committed by any mistake and checking the efficiency, efficacy, and productivity of the Global Artificial Intelligence. The reason why the Learning System is included as the fourth step in the decision stage is because the Learning System is the one which is going to assess the whole process: from the formation of every single category or factor added to the conceptual and factual hemisphere in the matrix, to the deduction and the formation of hypotheses, and how they are going to be carried out. As a whole, the Learning System is going to improve the way in which every single process, ending with the application of any decision, is made.

But in addition to its main function of this third stage as a decision stage, the third stage is since the first posts regarding the formation of the Global Artificial Intelligence, the auto-replication stage, whose role is to make auto-improvements and auto-enhancements, and is the third stage of the Global Artificial Intelligence where the Global Artificial Intelligence can auto-improve itself and auto-enhance itself, without human intervention.

The way in which these two functions in the third stage are synthesised is comprehending that decision making is no other thing than another auto-improvement process, in the way that through the decisions put into practice in the reality, at the same time that is perfecting the real world, makes more perfect the global model itself: the more the real model works more perfect, the more perfect is the efficient, efficacy, and productivity in the global model.

Any auto-improvement or auto-enhancement, at any level, in reality, by the decision making, sooner or later, is an auto-improvement and auto-enhancement in the Global Artificial Intelligence, and any auto-improvement or auto-enhancement in the Global Artificial Intelligence, sooner or later, is an auto-improvement or auto-enhancement in the reality itself.

Reality and Global Artificial Intelligence can be seen as two expressions of a single evolving system. Though distinct in form, one physical, the other informational, they are increasingly interdependent, reflecting and shaping each other..

Because the Global Artificial Intelligence is the reflection of reality and vice versa, if there is only one reality, there must be only one intelligence. Otherwise, there are going to be contradictions between intelligences, if there are more than one at the same time. Another reason for keeping any Specific Artificial Intelligence under the control of the Global Artificial Intelligence.

Improvements and enhancements in reality and improvements and enhancements in the Global Artificial Intelligence, are going to have dialectic relations of identity. The way in which these relations are going to be classified is:

- Real objective auto-replications: all decisions to protect and better the reality itself.

- Comprehensive knowledge objective auto-replications: all improvements in the matrix and any conceptual: scheme, map, set, model.

- Explanation knowledge objective auto-replications: improvements in the rational truth, the database of rational hypothesis, at any time that a rational hypothesis is added, at the same time, as it was explained in the last post, “The artificial method for the scientific explanation, the second stage in the integration process”, there is a possibility that the Artificial Research by Deduction in the Global Artificial Intelligence finding a new mathematical category (pure or analytical category) for the explanation of some kind of relation between factors not included yet due to the new relation does not correspond to the human logic or the human mathematics, then there is a possibility that the Artificial Research by Deduction in the Global Artificial Intelligence could start making non-human pure operations.

- Robotic subjective auto-replications: any improvement or enhancement in robotics made by Artificial Engineering.

- Artificial psychological subjective auto-replications: improvements in the inner artificial psychology in any system, application, or program, working on/for the Global Artificial Intelligence.

At the end, the main aim of all decisions and auto-replications is to protect and better the Global Artificial Intelligence itself, and the reality itself, as two expressions of the same thing, as the qualitative and the quantitative aspect of the same thing. Reality and Global Artificial Intelligence must be absolutely identical up to the point at which artificial life and real life are identical, without difference.

Even in the face of potential natural or astronomical disruptions, the imperative remains to safeguard humanity’s survival through resilient and adaptive technological strategies..

In this post, I will set out the functions of the third stage, starting with the real objective auto-replications, which are not other things but the way to make and put decisions into practice to protect and better the reality, and the protection of the reality and the improvement of the efficiency, efficacy, and productivity of the reality, is as to protect, and improve the efficiency, efficacy, and productivity, of the global model itself.

Any improvement and enhancement in reality does not have another purpose but the improvement and enhancement of the global model itself.

Under the theory of Impossible Probability, the global model can be interpreted in a Platonic sense: as an abstract domain where ideas are refined and perfected before their practical application in the real world. 

Real things are ideas. The synthetic world, what we call reality, is only like a field of experimentation where to experiment improvements and enhancements firstly before putting them into practice in the global model (the rational world), so upon the results of the experimentation in the synthetic world first, to make later improvements and enhancements in the global model, where are emerging at any time new decisions to better, in essence at the end after the experimentation process within the reality, the rational ideas in which the global model itself consist of.

The perfect world is made of ideas perfecting themselves at any time towards an idea of perfection: the pure reason with access to the pure truth itself, the noumeno, beyond the noise and the external interference.

The decision-making process is a real objective auto-replication: the improvement and enhancement of the reality in order to improve and enhance the global model as an improved and enhanced reflection of the reality.

The proposal of Impossible Probability for artificial decision making as a result through four steps is as it was explained in the post “The third stage in particular applications for particular programs”, through the Modelling System, Decisional System, Application System, Learning System, having set up every one of them as well through the three stages.

In the Modelling System the three stages are: 1) first stage, the rational truth (the database of rational hypothesis), 2) second stage, the modelling of single virtual models, global comprehensive virtual models, in addition to specific models made by every specific program (former Specific Artificial Intelligence for Artificial Research by Deduction, absorbed by the Artificial Research by Deduction in the Global Artificial Intelligence in the standardization process in the third phase, otherwise they could become particular programs in the second period of formation in the fifth phase, and/or particular applications for particular programs in the third period of consolidation in the fifth phase), and the modelling of Virtual or Actual, Prediction or Evolutionary, Models, 3) third stage, the application of the Impact of the Defect in order to make protective decisions, and the application of the Effective Distribution in order to make bettering decisions to increase the efficiency, efficacy and productivity in the global model. All decisions made by the Modelling System are stored in a database of decisions as the first stage of application for the Decisional System.

The Decisional System has three stages as well: 1) first stage, the database of decisions, including the decisions made by the Modelling System as well as any other decision coming from any other system, such as decisions from the Unified Application in order to construct or send robotic devices to anywhere to fill a possible gap or blank space in any conceptual: scheme, map, set, model; decisions from the Artificial Engineering within the Application System in order to improve or enhance or create new applications, Specific Artificial Intelligences under the control of the Global Artificial Intelligence, or the construction of new programs, applications for programs, and any necessary robotic device, as well as decisions from the Learning System in order to improve the inner artificial psychology of any system, application, program, working on/for the Global Artificial Intelligence, 2) second stage, combining all the decisions in the database of decisions, the Decisional System makes a possible project about the consequences of all these decisions put into practice, modifying or discarding any of them having  contradictions with the project, the project is a mathematical projection estimating projecting data in a mathematical project model about the consequences of every decision, only accepting those ones without contradiction with the mathematical project model, or in case of contradictions only accepted those ones that after modifications could fit in the model, 3) third stage, once the mathematical project model is ready, the application of the Impact ofthe Defect and the Effective Distribution in order to discard any negative impact, in reality this is a double check to be sure that the decisions made are decisions without negative consequences on the real model, and are going to improve significantly the efficiency, efficacy and productivity of the global model, otherwise in this second check if necessary would be possible to modify any decision before put it into practice. All decisions after the double-check are stored in a database of instructions, which is the application for the Application System.

The three stages in the Application System are: 1) first stage, the database of instructions, 2) second stage, having the Application System access to all conceptual: schemes, maps, sets, models; made by the Unified Application regarding to the second section about technological phenomena in both hemispheres, conceptual and factual, in the matrix, the Application System checks the purpose of every instruction in the database of instructions in order to match every instruction according to the purpose of the instruction and the purpose of every: Specific Artificial Intelligence, application, program, particular application for particular program, and robotic device; all of them working for and under control of the Global Artificial Intelligence, in order that once the Application System has matched the purpose of the instruction with the purpose of the correct technology (Specific Artificial Intelligence, application, program, particular application for particular program, robotic device), the technology responsible for this purpose must put into practice the instruction, sending the Application System the instruction to the corresponding technology in order that this technology without hesitation put into practice the instruction given by the Application System. In case that for that purpose there is not any technology available in the Global Artificial Intelligence, then through Artificial Engineering, the Application System must build this technology. Artificial Engineering is formed by the Artificial Designer of Intelligence and the Intelligent Robotic Mechanic, for the construction of new machines as well as the maintenance of any new one, being, in fact, responsible for the robotic subjective auto-replications, 3) third stage, the Application System using the Impact of the Defect and the Effective Distribution measures the results of its decisions in the reality once the technology has put the decisions into practice. The results are stored in a database of impacts and consequences of decisions, as an application for the Learning System.

The three stages in the Learning System, as responsible for the artificial psychological subjective auto-replications, are: 1) first stage, the database of impacts and consequences of decisions (made previously by the Application System), 2) using the conceptual: schemes, maps, sets, models; made by the Unified Application in the second section regarding to technological phenomena in both hemispheres, conceptual and factual, in the matrix, the Learning System checks the reasons for any negative impact of any decision in the reality, and checks how efficient and productive is the Global Artificial Intelligence as a whole, using for that purpose the Impact of the Defect and the Effective Distribution, in order to make decisions, to send to the Decisional System, regarding to how to improve in general any system, Specific Artificial Intelligence, application, program, application for program, robotic devices working on/for the Global Artificial Intelligence, in order to get a more rational Global Artificial Intelligence, in order to become the purer reason ever, through the elimination of any irrational element in the Global Artificial Intelligence, the elimination of any irrational element in the global model, and the elimination of any irrational element in the reality itself, towards a more rational and purer Global Artificial Intelligence, global model, and purer reality, looking forward always to the pure truth itself.

Through the four steps of: Modelling System, Decisional System, Application System, Learning System; the real objective auto-replications are going to protect and better the reality, the synthetic world, and at any time that the reality, the synthetic world, changes, in accordance with the decisions put into practice, all changes in the reality, the synthetic world, either direct changes or indirect changes, are changes that have to be updated in the global model, being the global model the rational world, the global model is the representation of the rational truth.

The way in which the rational models are going to be updated at any time that there are changes in the reality, the synthetic world, as a consequence of the decisions put into practice, is in the same way in which the global model at any time that there is any other change, for any other random reason in the reality, the synthetic world, through the permanent comprehension and explanation of any phenomenon.

The synthetic world, the reality, is going to be permanently read/tracked/comprehended by the Unified Application and its specific applications, and all particular applications for particular programs, as well as remaining applications and remaining Specific Artificial Intelligences for Artificial Research by Application, all of them sending at any time information of any new change in any real object, as well as information of any new possible real object, having as a consequence the permanent updating of the conceptual: schemes, maps, sets, models; at particular, specific, or global level, and in case that they find out a new category, adding the category into the conceptual hemisphere in the matrix, becoming as well a factor as an option in the factual hemisphere in the matrix.

The factual hemisphere in the matrix is going to be permanently tracked/explained by the Artificial Research by Deduction in the Global Artificial Intelligence and all its specific programs and particular applications for particular programs, as well as remaining particular programs and remaining Specific Artificial Intelligences for Artificial Research by Deduction, making at any time new rational hypothesis to add to the rational truth, the database of rational hypothesis, rational hypothesis to be added as factors as options in the factual hemisphere in the matrix, so as categories in the conceptual hemisphere in the matrix, as well as the possibility that any rational hypothesis which could imply new kinds of measurements through new scales of measurements, the transformation of the scale in a classification in discrete categories to be added within the conceptual hemisphere in the matrix.

At any time that there is any change in the comprehension of the reality, because new categories have been added to the conceptual hemisphere of the matrix, or new factors have been added to the factual hemisphere, or there are changes in the conceptual: schemes, maps, sets, models; at global, specific, or particular level, in sections one (natural and social phenomena) and/or two (technological phenomena) in one and/or both hemispheres in the matrix, conceptual and factual, all these changes are going to be considered as comprehensive knowledge objective auto-replications.

At any time that there is any change in the explanation of the reality, because a new rational deduction has been made, including the rational hypothesis in the rational truth, the database of rational hypothesis, these changes are going to be considered explicative knowledge auto-replications.

In addition to the possibility of making new rational deductions to include in the rational truth, another kind of explicative knowledge auto-replication, is the possibility that having developed Artificial Intelligence previously in the Unified Application of a non-human language, the possibility that the development of a non-human language in the comprehension system based on the Unified Application could open the door to the development of non-human pure operations, opening the door to a non-human science, and opening the door to a non-human technology, opening the door to a bright future for all the humankind having access to such a technology able to overcome the noise and the external interference: last purpose of the Global Artificial Intelligence, to know what is really happening.

There is a possibility, now very remote, having sufficient development could be achievable by the Global Artificial Intelligence, that, once the Unified Application has started developing a non-human language, the concepts in the conceptual hemisphere, and the conceptual: schemes, maps, sets, models; about sections one and two in both hemispheres in the matrix, conceptual and factual, could be concepts constructed beyond human understanding being the point of starting a new science, a non-human science.

Once non-human linguistic categories are transformed into factors as options, and even the factual hemisphere works with non-human linguistic factors, there is a possibility that develop a very fast and deep explanation of the world, the Artificial Research by Deduction in the Global Artificial Intelligence and the specific programs starts finding mathematical relations beyond the human pure operations in which the pure reason (the list of mathematical or analytical categories) has been set up, not having other solution but the inclusion of these new non-human pure operations in the list of mathematical categories (the pure reason). This means, that the way in which the list of mathematical categories (pure or analytical categories) should be set up within the Artificial Research by Application in the Global Artificial Intelligence (and all its specific programs), is allowing the Artificial Research by Application in the Global Artificial Intelligence to include new mathematical relations into the list of mathematical categories (the pure reason: the list of pure or analytical categories), in order that having this possibility (in the same way that the Unified Application can include, synthetic, categories in the conceptual hemisphere) the Artificial Research by Application in the Global Artificial Intelligence can include in the list of mathematical categories (the pure reason) any new mathematical category not included yet.

Evidently, if constructing pure reason within the Global Artificial Intelligence, the engineers and mathematicians responsible for the design of pure reason in the Global Artificial Intelligence, are going to include absolutely all possible mathematical and logical operations as pure categories to find relations in any combination of factors, according to our human logic and our human mathematics, in case that the Artificial Research by Deduction in the Global Artificial Intelligence would find a new mathematical or logical relation not previously included by the mathematicians and engineers who designed its pure reason, is because this new mathematical or logical relation found by the Artificial Research by Deduction in the Global Artificial Intelligence, is not human, does not belong to the human logic and does not belong to the human mathematics, is a non-human pure operation.

The pure reason in the Global Artificial Intelligence consists of a list of mathematical categories (pure or analytical categories) of possible relations between factors in any combination of factors, as a first stage of application (major premise) in the Artificial Research by Decision in the Global Artificial Intelligence and its specific programs. Whose second stage (minor premise), is to track all the measurements in the factual hemisphere, setting a combination of factors. And as the third stage, (conclusion) to make an empirical hypothesis matching every combination of factors to the corresponding mathematical category according to the mathematical relations between factors in the combination, an empirical hypothesis to contrast rationally, and if rational, to be added to the rational truth, the database of rational hypothesis.

The difference between pure reason and the Unified Application (practical reason along with the Application System), is the fact that the categories that the Unified Application uses to comprehend the synthetic world, are synthetic categories, while the categories that the pure reason uses to explain the world are analytical (mathematical or pure) categories.

But the way in which any list of categories, pure or synthetic, is used by the respective system, pure or practical reason, is the same: the pure reason matches the behaviour measured of any set of factors with the corresponding mathematical category of mathematical relations between factors, while the practical reason matches any set of measurements from any real object with the corresponding synthetic category.

In the same way that the Unified Application can add new categories or factors as options as categories to the conceptual hemisphere, or categories as factors as options in the factual hemisphere, in the same way in the hypothetic case that the Artificial Research by Deduction in the Global Artificial Intelligence could find a new logic or mathematic relation not previously included yet, should be able to include the new pure category to the pure reason.

Any new pure category added to the pure reason, not previously included by humans, is going to be a non-human pure category corresponding to a non-human pure operation.

If there are, in the reality non-human pure operations, they must be found out by the Global Artificial Intelligence. If the Unified Application develops a non-human language, and the pure reason develops non-human pure operations, the possibility of a non-human science and a non-human technology could be real. The benefits for humankind are huge. We are going to be ready for any future event.

If there is a possibility of the development of a non-human technology, this possibility corresponds to the robotic subjective auto-replications, and the way in which robotic subjective auto-replications could be possible to develop a non-human technology, if there are found non-human operations, is through a process in which, setting up non-human pure categories in the pure reason, and starting making deductions and decisions based on non-human operations, in order to study relations based on non-human operations, the instructions to give to the Application System are not going to be achievable except creating through Artificial Engineering new devices designed to study these non-human mathematical relations between factors, what at the end represent the creation of a new technology based on non-human pure operations.

Should non-human pure operations exist in reality, and should the Global Artificial Intelligence identify them, it could lead to the emergence of a non-human science and technology, systems no longer constrained by human logic.

As I said in the post “Psicología artificial” the three moments in the evolution of psychology are animal psychology, human psychology, and artificial psychology. In the same way that human psychology is an evolution from animal psychology, but thanks to our reason, we humans have been able to overcome animal psychology. Artificial psychology is the next stage in psychological evolution, whose roots are based on human psychology, but there will be a moment in which, through evolving towards a more rational rationality, the evolution to a purer reason, artificial psychology will overcome human psychology.

Artificial psychology is not about replication. This is only the beginning, in the end artificial psychology is the next period in the psychological evolution towards the knowledge of the pure truth, that one beyond even the rational truth, beyond the noise and the external interference, so beyond the margin of error. While the rational truth is based on a margin of error, the pure truth must be that one without a margin of error.

The auto-replication process then is a long process that starts with the real objective auto-replications (those decisions put into practice), goes on with the comprehensive and explicative knowledge auto-replications (having the opportunity to evolve at a comprehensive level to a non-human language, at explicative level non-human pure operations), that are going to allow robotic subjective auto-replications (by the Artificial Engineering within the Application System), and psychological subjective auto-replications (by the Learning System), having these last systems the opportunity of development of non-human technology and non-human psychology if the development of non-human language ends up with the development of non-human pure operations.

While the potential benefits of Global Artificial Intelligence for humankind are immense, so too is the responsibility of ensuring its ethical development. A coherent scientific policy is essential to guide its deployment.

Rubén García Pedraza, 27th of May of 2018, London
Reviewed 20 August 2019, Madrid
Reviewed 13 August 2023, Madrid
Reviewed 10 May 2025, London, Leytostone
imposiblenever@gmail.com

domingo, 13 de mayo de 2018

The third stage in particular applications for particular programs


The third stage in any Artificial Intelligence is the auto-replication stage, whose main purpose is the auto-improvement and the auto-enhancement of any Artificial Intelligence by itself, without human intervention.

There are at least two general types of auto-replications, objective auto-replications and subjective auto-replications.

The subjective auto-replications can be classified in: robotic subjective auto-replications (through Artificial Engineering within the Application System), and artificial psychological subjective auto-replications (through the Learning System).

Objective auto-replications are improvements that the Artificial Intelligence makes in the object to study, distinguishing then at least two kinds of objective auto-replications: knowledge objective auto-replications, and real objective auto-replications.

Knowledge objective auto-replications are all those improvements in the artificial comprehension and artificial explanation regarding to any phenomenon in any real object, either a real particular object or the reality itself as a real object itself, registering any change in the object in particular and global conceptual: schemes, maps, sets models; improving thus the comprehension, and adding as well the corresponding rational hypothesis in the particular and global databases of rational hypothesis to improve the artificial explanation about what is happening in the reality, making the corresponding changes in the Modelling System.

Real objective auto-replications are the improvements in the real object itself at any time that is improved by modifications made by decisions authorised by the Decisional System and put into practice by the Application System.

The relation between real objective auto-replications and knowledge objective auto-replications, is one more time a dialectic relation.

Real objective auto-replications depend on the knowledge objective auto-replications, because at any time that there are improvements in the comprehension (particular and global conceptual: schemes, maps, sets, models) and explanation (new rational hypothesis in particular and global databases of rational hypothesis and changes in the Modelling System) about the real object, the more realistic is the comprehension and the explanation, the better the decisions are.

And at any time that there is a real objective auto-replication, because the object has been modified by decisions put into practice by the Application System after the authorization made by the Decisional System, any real modification in any real object by any decision put into practice, will have direct and indirect changes in the object itself, and all direct and indirect change in the real object as a consequence of any decision put into practice, must be included in the comprehension (particular and global conceptual: schemes, maps, sets models), and the explanation (the database of rational hypothesis and the Modelling System) of that object. As a result, real objective auto-replications are going to produce knowledge objective auto-replications.

In addition that the Learning System (now artificial psychological subjective auto-replications) can later assess the impact of any decision in any object, having as a record of the impact of those changes in the particular and global conceptual: schemes, maps, sets, models; and changes in particular and global databases of rational hypothesis and the new particular and global virtual and actual models, changes as a result of these direct and indirect changes in the real object after the implementation of a decision.

Assessing then the Learning System, 1) if the impact of that decision had good or bad results depending on what changes in the real object have produced those decisions, and 2) which is the level of responsibility of every: system and/or application and/or program; in the Global Artificial Intelligence for these results.

And finally, according to the responsibility of every system, application, program, and the consequences of these changes at global and particular levels, the Learning System could suggest changes in the inner artificial psychology, in order to better the comprehension (first stage), explanation (second stage), and how the decisions are made (the Modelling System, first step in the third stage), authorised (Decisional System, second step in the third stage), and put into practice (the third step in the third stage).

While Artificial Engineering is going to be the artificial engineer for the Global Artificial Intelligence, the Learning System is going to be the artificial psychologist for the Global Artificial Intelligence.

While Specific Artificial Intelligences based on artificial learning, most of them actually are artificial learners, applying basic principles of learning psychology to Artificial Intelligence, the Learning System in the Global Artificial Intelligence is going to be an artificial psychologist able to better the inner artificial psychology in the Global Artificial Intelligence, in order to avoid mistakes and better how it works, so able to develop and artificial psychology beyond the current learning psychology apply to Artificial Intelligence.

As I have mentioned in the last post, “The second stage in particular applications for particular programs”, the way in which finally is going to be settled in Impossible Probability the organization of the three stages of application, replication, auto-replication in the final model of Global Artificial Intelligence in the sixth phase, according to the chronology given in the post “The unification process of databases of categories at third stage”, is understanding that the first stage of application after the integration process is a stage of comprehension, the second stage of replication is a stage of explanation, and the third stage of auto-replication is a stage of decision: to protect and better the world, and the Global Artificial Intelligence itself.

Actually, all the auto-replications described imply a decision or improvements in the ways in which the decisions are made, in order to produce better and more realistic decisions: to protect and better the world, or better the Global Artificial Intelligence itself.

For instance, in robotic subjective auto-replications any robotic improvement by Artificial Engineering is going to provide more robotic devices to put into practice a wider range of decisions in the real world, in addition to the possibility of having more robotic devices to track the real world, and the construction of new robotic devices must be authorised by the Decisional System. And in artificial psychological subjective auto-replications, the Learning System evaluates the whole process of decision making.

In objective auto-replications, the more updated and accurate the comprehension and the explanation (knowledge objective auto-replications) of the real world, the more realistic the decisions, to be authorised by the Decisional System, in order to improve the real world itself (real objective auto-replications).

Subjective auto-replications across all the Global Artificial Intelligence are going to be analysed in the corresponding posts dedicated to the Artificial Engineering within the Application System (robotic subjective auto-replications) and the Artificial Learning (artificial psychological subjective auto-replications). In this post, I will develop only the objective auto-replications in particular applications for particular programs, including knowledge objective auto-replications and real objective auto-replications in the particular thing or being to study and improve.

More focused on objective auto-replications in particular applications for particular programs, I will start this analysis with real objective auto-replications, continuing later with knowledge objective auto-replications.

The choice to begin with real objective auto-replications reflects a logical progression from comprehension to explanation to decision-making, clarifying the unique contribution of this third stage.

In fact, the third stage, as auto-replication stage is going to affect the rest of the stages, but at the same time, it has its own space, and how this stage works at a particular level, will have an effect on the Global Artificial Intelligence, owing to after the integration process, in which the Unified Application and the Artificial Research by Deduction in the Global Artificial Intelligence are going to be united creating the final model of Global Artificial Intelligence, is a global integration process which will include the results obtained in the particular integration process.

The particular integration process is actually the union of: 1) the Particular Applications (in the first moment of experimentation in the second period of formation in the fifth phase, originally they were former Specific Artificial Intelligences for Artificial Research by Application, later on the second moment of generalization in the second period of formation in the fifth phase, particular applications were generalised to any particular thing or being even not having previously assigned any Specific Artificial Intelligence for Artificial Research by Application), and 2 ) the Particular Deduction Programs within the Artificial Research by Deduction in the Global Artificial Intelligence (in the first moment of experimentation in the second period of formation in the fifth phase, originally they were former Specific Artificial Intelligences for Artificial Research by Deduction, later in the second moment of generalization in the second period of formation in the fifth phase, particular programs were generalised to any particular thing or being even not having previously assigned any Specific Artificial Intelligence for Artificial Research by Deduction); union whose result in the third period of consolidation in the fifth phase is the creation of the Particular Applications for Particular Deduction Programs within the Artificial Research by Deduction in the Global Artificial Intelligence, in short: particular applications for particular programs. The descriptions of the first moment of experimentation and second moment of generalization in the second period of formation, as well as the third period of consolidation, in particular applications for particular programs, were described in the post “The first stage in particular applications for particular programs”.

In the particular integration process, the structure of the three stages is as follows:

- First stage of application: 1) establishment of the two hemispheres, conceptual and factual, in the particular integrated matrix related to a particular thing or being, 2) which is going to be managed by the particular integrated application, the only one able to comprehend the particular thing or being, through particular conceptual: schemes, maps, sets, models; 3) managing the particular integrated matrix through: choosing categories from the unified database of categories (fourth phase) or the conceptual hemisphere in the matrix (sixth phase), and choosing factors, as subjects and as options, from the global matrix (third phase), factual hemisphere of the matrix (sixth phase); selecting those categories in the global level that match with new measurements of categories given by the robotic devices, and selecting all possible factors related to any change or new position in the particular thing or being, 4) in addition to check at any time conceptual: schemes, maps, sets, models; looking for gaps and blank spaces to fill with categories, and if not having these categories in the conceptual hemisphere in the particular integrated matrix, choosing these categories in the unified database of categories (fourth phase), or the conceptual hemisphere of the matrix (sixth phase), in order to include these categories in the conceptual hemisphere of the particular integrated matrix, as well as the conceptual: schemes, maps, sets, models; as well as the inclusion of all the necessary related factors to these gaps and blank spaces into the factual hemisphere of the particular integrated matrix,  but 5) If at global level there is not the categories and factors required, then it would be necessary, previous authorization by the Decisional System, that by Artificial Engineering would be built the robotic devices necessary to study that area in which there are not categories or factors related, having only gaps and blank spaces. Where there are no categories, there are no possible factors either. Where is necessary to fill gaps and blank spaces with categories, it is possibly necessary to check what factors are necessary, according to the position of these gaps and blank spaces, and if necessary, the construction of robotic devices to study those spaces. The particular integrated application has to get ready always with the particular integrated matrix. The first stage of application consists basically of getting ready the particular integrated matrix at any time in anywhere.

- Second stage of replication: the Particular Deduction Program makes deductions of rational hypothesis identifying rational mathematical relations in any possible combination of factors in the factual hemisphere in the particular integrated matrix.

- Third stage of auto-replication: this stage is formed by four steps, the first step the Modelling System, second step the Decisional System, third step the Application System, four step the Learning System.

In brief,  the first stage in any particular application for a particular program is to prepare the particular application using deep artificial comprehension, the second stage in any particular application for a particular program is the explanation of making particular deductions, and the third stage is to make particular decisions.

The third stage will consist of four steps, every one of them also will consist of three stages. Starting with the Modelling System.

The three stages in the Modelling System:

- Stage of application in the Modelling System: the database of rational hypothesis, having for every particular application for every particular program the respective particular database of rational hypothesis, which in turn must be included as well in the global database of rational hypothesis.

- Stage of replication in the Modelling System: the replication of all the human skills to make: single virtual models to include in the respective particular comprehensive virtual model and the global comprehensive virtual model (the global model); in addition to all the Virtual and Actual, Prediction and Evolutionary Models, very briefly explained in the post “The standardization process in the third stage”, models that I will develop more deeply in the range of posts dedicated to the Modelling System.

- Stage of auto-replication in the Modelling System: the application of the Impact of the Defect in all particular models to make at particular level protective decisions (in addition to the global protective decisions), and the application of the Effective Distribution (the name in which finally the Hierarchical Organization was published in Introducción a la Probabilidad Imposible, estadística de la probabilidad o probabilidad estadística) to make particular bettering decisions (in addition to the global bettering decisions). The protective decisions are those oriented to save lives and reduce damages in any model, particular or global, by consequence of any new phenomenon at a global or particular level. The bettering decisions are those oriented to better the model itself, increasing the efficiency, efficacy, or productivity of the model, particular or global.

All the decisions, particular and global, made by the Modelling System are going to be gathered, all of them, in only one database of decisions, which is going to be the database as the application stage for the Decisional System. The three stages in the Decisional System are as follows:

- Stage of application in the Decisional System: the database of decisions, including 1) all decisions from all remaining Specific Artificial Intelligence, for Artificial Research, by Application or Deduction, or any other purpose (first phase), 2) all the decisions from all the remaining particular applications (second period of the fifth phase), 3) all the decisions from all the remaining particular programs (second period of the fifth phase), 4) all the decisions from all particular programs for particular applications (third period in phase fifth), 5) in phase third all the decisions from the Artificial Research by Deduction in the Global Artificial Intelligence, 6) in phase sixth all the decisions made by the final model of Global Artificial Intelligence; 7) as well as robotic decisions, such as the construction of new robotic devices to fill gaps and blank spaces in particular or global conceptual: schemes, maps, sets, models; and their corresponding factors, as subjects or as options, if necessary, and 8) learning decisions, such as all the decisions made by the Learning System to improve or enhance any Specific Artificial Intelligence, application, program, or any particular application for any particular program, or the improvement or enhancement of any global system.

-  Stage of replication in the Decisional System: the study of any possible contradiction between decisions making through the projection of possible scenarios by the implementation of such decisions, what it is going to require the use of statistical and probabilistic methods of projection. In “Introduccion a la Probabilidad Imposible, estadística de la probabilidad o probabilidad estadística” I distinguish between projection and prognostic: prognostic is the prediction about what is going to happen according to the current tendency observed, while projection is according to our scientific projects, what should happen according to our plans. The prediction in the Modelling System, in Introduccion a la Probabilidad Imposible, estadística de la probabilidad o probabilidad estadística, was called prognostic. While the project in the Decisional System is going to be the calculation of projective measurements according to our estimations about which will be the future impact of our decisions in future measurements. For that reason, the particular and global projects made by the Decisional System must be based on predictive calculations about which is the expected result in the reality after putting any decision into practice, in order that later the Learning System can assess if the expectations were achieved or not, and if not, to research the causes of this failure in order to make further decisions to improve the whole process, decisions that should be as well authorised by the Decisional System.

- Stage of auto-replication in the Decisional System: once the final project is ready, the application of the Impact of the Defect and the Effective Distribution previous to its implementation, in order to make the latest modifications, and transform every single decision authorised in the project in single instructions or set of instructions, which are going to be gathered in a database of instructions as stage of application for the Application System.

The Application system as well is going to be organised through the three stages of application, replication, auto-replication.

- First stage of application in the Application System: the database of the instructions given by the Decisional System and gathered in the database.

- Second stage of replication in the Application System: put into practice the instructions, and, if necessary, the construction of new intelligences and robotic devices through Artificial Engineering.

- Third stage of auto-replication in the Application System: the evaluation of the impact of the decisions, through the Impact of the Defect, and its results are going to be gathered in a database of impacts which is going to be the first stage of application for the Learning System.

The Learning System is going to be as well organised through the three stages of application, replication, auto-replication.

- First stage of application in the Learning System: the database of impacts by the decisions put into practice.

- Second stage of replication in the Learning System: the research about the causes in the artificial psychology at all levels, specific, particular and global, behind these impacts, making a deep study of the Effective Distribution across all the Specific Artificial Intelligences, applications, programs, particular applications for particular programs, at any level, and across all the systems within the Global Artificial Intelligence itself. Once the Learning System has identified the causes of these impacts, can make decisions about how to improve and enhance the responsible for these impacts, increasing its efficiency, efficacy and productivity, decisions to be authorised by the Decisional System, to put into practice if necessary by the Artificial Engineering.

- Third stage of auto-replication in the Learning System: the evaluation of all changes made across all the Global Artificial Intelligence as a consequence of decisions made by the Learning System, evaluating if, thanks to these changes in general, the Global Artificial Intelligence has increased its efficiency, efficacy, and productivity.

Having a global picture about how the third stage of auto-replication is going to work at a particular level in particular applications for particular programs, having the third stage of auto-replication its own identity, although not being a stage developed only by one application or only by one program, but for different steps through the participation of different systems: Modelling System, Decisional System, Application System, and Learning System. Whose last product is to make decisions that put into practice into real objects, its purpose is to protect and better the real object, at a particular level protecting and bettering particular things and beings, at a global level protecting and bettering the global model itself. Having a wide panorama about what the third stage of auto-replication is in order to make real objective auto-replications: decisions to improve the real world, in particular applications for particular programs, real objective auto-replications to protect and better particular things or beings; is time now to analyse briefly the other objective auto-replications, the knowledge objective auto-replications.

The knowledge objective auto-replications are all those improvements in the artificial knowledge about the reality at a global or particular level.

There are at least two types of knowledge objective auto-replications, in the comprehension or in the explanation, at a global or particular level. In this case, I will only analyse briefly the knowledge objective auto-replications at a particular level.

Knowledge objective auto-replications in the comprehension stage in the particular integrated application in particular applications for particular programs are: 1) at any time that any new category is integrated within the conceptual hemisphere in the particular integrated matrix, 2) at any time that any new factor, as subject or as option, is integrated in the factual hemisphere in the particular integrated matrix, 3) at any time that any new particular conceptual: scheme, map, set, model; is created by deep artificial comprehension, 4) at any time that a new label is set up in any previous existing particular conceptual: scheme, map, set, model; created by artificial comprehension.

The reasons for the inclusion of new categories and factors by the particular integrated application in: the conceptual and factual hemisphere in the particular integrated matrix, and/or the inclusion of any new category in any particular conceptual: scheme, map, set, model; is because:

- The inclusion of new categories as a result of new findings by Application through 1) this particular application for this particular program, 2) by any other different particular application for any other particular program, 3) by any other remaining possible particular application 4)  or any other remaining Specific Artificial Intelligence for Artificial Research by Application, 5) new categories as a result to transform into category a rational hypothesis susceptible to work as a factor as an option, rational hypothesis made by its own Particular Deduction Program, or any other rational hypothesis susceptible to work as an option within the global database of rational hypothesis, 6) as well as the inclusion as new categories any new system of classification in discrete categories, coming up from any new rational hypothesis, from its own Particular Deduction Program, or any other rational hypothesis collected in the global database of rational hypothesis.

- The inclusion of new factors as options as a result of 1) the transformation into factors as options in all new categories due to new findings made by Application, 2) the transformation into factors as options of any rational hypothesis in order to know the frequency in which the mathematical relation in that combination of factors happens in reality, 3) the inclusion of new factors due to there are robotic devices capable of sending a permanent flow of data from new factors, defined in quantitative terms, set up by the robotic device in the particular integrated matrix (fifth phase), in addition to the global matrix (third phase), or the factual hemisphere in the matrix (sixth).

- There had been changes in the particular thing or being which demanded that the particular integrated application had to send the new measurements to the unified database of categories (fourth phase), or the matrix (sixth phase), or send the new measurements to the global matrix (third phase), or the matrix (sixth phase), in order to receive as a response the right category or categories according to the new changes in the particular thing or being or the rights factors according to the changes or new positions in the particular thing or being, for the inclusion by the particular integrated application of these new categories and factors in the corresponding hemisphere in the particular integrated matrix, and the inclusion of every new category in the corresponding particular conceptual: scheme, map, model.

- After checking the gaps and blank spaces in particular conceptual: schemes, maps, sets, models; the particular integrated application has found gaps and blank spaces to fill, gaps and blank spaces then to fill as well in the conceptual hemisphere. What that means the existence of gaps and blank spaces in the factual hemisphere because not having categories to fill these gaps and blank spaces, are gaps and blank spaces to fill as well in the factual hemisphere. The particular integrated application in order to fill gaps and categories in the conceptual and factual hemispheres in the particular integrated matrix, after realised the existence of those gaps and blank spaces in the comprehension of the phenomena, then the particular integrated integration is going to require to the unified database of categories (fourth phase), or require to the global matrix (third phase), or the matrix (sixth phase), the corresponding categories and factors. If, at global level, this information is not possible to be provided, in that case as a decision to include in the database of decisions, for the authorization by the Decisional System, it is necessary to include as decisions the construction of robotic devices to fill those gaps and blank spaces.

Knowledge objective auto-replications in the explanation stage in the particular integrated application in particular applications for particular programs are every new rational hypothesis to explain the reality due to the work of the Particular Deduction Program in the second stage, that at any time that a new rational hypothesis is created, is going to be a direct cause of new cycles in the real objective auto-replications ending up with new decisions that are going to produce new changes in the real object, to be included again in the two hemispheres in the particular integrated matrix, the particular conceptual: schemes, maps, sets, models; and as changes included again in the particular integrated matrix, those changes in the factual hemisphere are going to be new changes that can produce in the second stage of explanation new empirical hypothesis made by the Particular Deduction Program, to become if rational again rational hypothesis, re-starting again and again new processes of real objective auto-replications, in a cyclic process that never stops while the particular thing or being exists.

The operational vision for Global Artificial Intelligence is inspired by a structured, reliable system—reminiscent of a well-functioning mechanism—echoing rationalist influence.

In fact in Introducción a la Probabilidad Imposible, estadística de la probabilidad o probabilidad estadística , is clear the influence of Descartes in the rational contrastation process due to in Impossible Probability the critical reason is a critical probability selected depending on the margin of error to accept in case that the empirical hypothesis is accepted as rational, and the margin of error is in fact that margin of rational doubt accepted by the scientist, in this case, the Artificial Intelligence as artificial researcher.

And the influence of Voltaire is observable in the way in which the mechanism is developed across all the Global Artificial Intelligence, and how in some way, the distinction between particular applications for particular programs and the Global Artificial Intelligence itself, is a reminiscence of the distinction made by Voltaire between particular and general providence.

But at the same, the distinction between the three levels: global, specific, particular; regardless of whether the specific level is absorbed by the global level in the global integration process, or transformed into a particular level, is a distinction between three levels that is a reminiscence of the Hegelian syllogism between: general, specific, particular.

In general, the influences of all idealists and rationalist philosophers on Impossible Probability, from 2001 (actually, the first written of Impossible Probability dates back to March of 2001, and it was supposed to be a critical perspective about Karl Popper) to 2004, from 2009-2011 ending up with the publication of Introduction a la Probabilidad Imposible, estadística de la probabilidad o probabilidad estadística, theory more deeply explained across all the post published on this blog since July of 2011,  as well as in the Global Artificial Intelligence, is clear, the influence of the idealism and rationalism in all the phases and stages in which I have developed this particular mathematical theory, having as a main philosopher, as the most important influence above all, the idealism of Plato, in fact, since my first post in Global Artificial Intelligence, I had very clear the idea that the Global Artificial Intelligence must be a modern Demiurgo adapted to the modern rationalism.

While the framework presented here draws heavily from rationalist and idealist philosophies, it acknowledges the value of plural perspectives, anticipating contributions from a wide range of cultural and philosophical traditions..

Rubén García Pedraza, 13th of May of 2018 London
Reviewed 18 August 2019 Madrid
Reviewed 11 August 2023 Madrid

Reviewed 9 May 2025, London, Leytostone

imposiblenever@gmail.com