Glad to announce the publication of our article.

«Electronic Information Systems» QUARTERLY SCIENCE MAGAZIN № 2 (21) 2019

www.elins-journal.ru

Read this article here: https://elibrary.ru/item.asp?id=38566107

A. S. Kruchinin

**About mathematics and informatics of stratagems**

A version of stratagem logic interpretation is given in terms of topic “Mathematics and Informatics of Stratagem” discussion. The logic of their association with hexagrams of “The Book of Changes” (by means of numerical three-dimensional matrix of computer program SEFOR) is described. A possibility of calculations with the use of numerical basis of hexagrams for stratagems and to restore the entire (possible) set of stratagems and comments for them is set forth forcibly.

Key words: stratagems, stratagematics, hexagrams, computer program SEFOR, numerical three-dimensional matrix, selection of path version, optimal aim selection.

“Mathematics and Informatics of Stratagem” article was published in “Electronic information systems” scientific journal [1]. Defining the relation of stratagematics to the exact science or an art is a matter of a considerable discussion. This analysis aims to lift the veil on thirty-six stratagems described in Chinese treatise [2]. For this purpose, we consider SEFOR (Solutions Effective Formulation and Optimization targeted Research) program* [3] three-dimensional numerical matrix based on two-dimensional 8x8 Square, in Chinese tradition known as Lo Shu Square [4] and used in traditional Chinese medicine to identify the location for therapeutic modalities by the "Complicated Spatial Balance" method. However, neither this method, nor its calculations or logic has no application to SEFOR program.

Converting two-dimensional numerical matrix into three-dimensional and comprising it hexagrammatically (Note: Hexagram being a figure composed of six stacked horizontal lines where each line is either broken (open) or unbroken (solid) also possesses properties of numbers those are atypical) made obvious that the entire sequence of I Ching (Note: Book of Changes) hexagrams is mathematically interlinked. Moreover, mathematical operations within the matrix involve both quantitative and qualitative components of these numbers. Hexagram names and their descriptive comments are calculated. Mathematical calculations connect all stages of the changes.

Nowadays there is no necessity in applying divinatory approaches for hexagrams generating. This can be achieved by questionnaire surveys when analyzing psychoemotional state or converting body state measurements resulted from acupuncture research into hexagrams.

Identifying the exact location in the matrix (hexagram), that describes current situation or state, gives six optimum options of the first step of problem solution (Pic. 1).

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*SEFOR program creator – D.V.Trubitsin

Pic. 1. SEFOR program three-dimensional numerical matrix

Each option of the transition (step) is a change in one line of hexagram. Any step leads to another hexagram and therefore to situation or state change. Six hexagram lines represent six transitions.

Choosing the exact transition gives recommendation (advice), what exactly is required to make this transition. In other words, we get the plan of actions aimed at situation or state change, which is also calculated.

Now, let us proceed with stratagems. Stratagem 17 “Tossing out a brick to get a jade gem”, for example. It refers to Group 3: Attacking Stratagems. The meaning of this stratagem consists in “converting a small gain to get a bigger one to gain benefit”. It represents an unequal exchange, a mousetrap. Intention is to bait someone by making him believe he gains something and obtain something valuable from him in return.

The meaning of this stratagem in accordance with I Ching is associated with hexagram 4 “The young shoot”. However, the comments to hexagram fail to reflect the meaning of stratagem.

However, from Hexagram 4 we can move on to Hexagram 41 (Pic. 1). A vector arrow (action required for transition) shows this transition, which is calculated, corresponding to hexagram 24.

Let us review the comments to hexagram 24 “Return (The Turning Point)” and hexagram 41 “Decrease”:

Hexagram 24.6 - Missing the defining moment will result in misfortune. Missing fateful time will defeat your plans.

Hexagram 41 - A time of decrease, restraining yourself and controlling anger. Something you donate today, the fate will return with interest tomorrow. It might seem that you are much too wasteful, shower someone with gifts, this feeling will soon disappear and you will be generously rewarded.

Stratagem 14 “Borrow a corpse to resurrect the soul” refers to the same Group 3: Attacking Stratagems. The meaning of this stratagem consists in attracting and applying positive ideas, technologies, traditions of the past, in other words drawing on experience in current issues solution. In accordance with I Ching, this stratagem is also associated with hexagram 4 “The young shoot” and again the comments to hexagram do not reflect the meaning of stratagem.

At the same time, the comments to hexagram 24 and hexagram 41 contain the following:

Hexagram 24.3 - Reversion can reflect the unsafety of current situation. Reoccurrence. Go back to the beginning. Convert threat to own use.

Hexagram 41 - Something important is coming back. Latent possibility to return to the source.

Similar analysis was repeatedly performed with relation to all thirty-six stratagems.

Conclusion: associating stratagems of “The *Thirty-Six Stratagems*” treatise with hexagrams reflects only the “departure point”, but not the “path” or “place of arrival”. The comment to stratagems consists of the combination of comments to “path” and “place of arrival”.

We cannot but agree that applying brief and detailed comments to I Ching hexagrams is problematic. To solve this we had to analyze nearly ten of the best comments of different authors, summarize them, exclude apparent inconsistencies and verify by change theory logic and mathematics.

For the purpose of situation or state change, where there are six optimum alternative solutions (six arrows from hexagram pic. 1), and for stratagem logic there are six optimum options (direction vectors) of “place of arrival” to each particular hexagram. Consequently, there should be three hundred and eighty four general stratagems. A few more with consideration of coincidences as the one analyzed above.

There is an obvious correlation between six direction vectors and six groups of stratagems:

- Group 1: Winning Stratagems
- Group 2: Enemy Dealing Stratagems
- Group 3: Attacking Stratagems
- Group 4: Chaos Stratagems
- Group 5: Proximate Stratagems
- Group 6: Desperate Stratagems

Six direction vectors are those particular clues to uncovering the logic of stratagems. Their reference to Wu Xing six elements (Note: Traditional Chinese system of five elements with sixth transitional element binding the phases) is also noticeable.

There are two hundred and fifty six additional stratagems with sixty-four including passive behavioral options, as “To wait patiently by the river, to see the body of your enemy floating by”. These sixty-four options with comments are already implemented in SEFOR program. A fourth of general stratagems is also interpreted. When the changes theory logic and the essentials of mathematics are meaningful, it becomes an achievable goal.

If SEFOR program solves the problem of the right path selection for situation change or state correction, stratagem logic focuses more on setting the optimum goal and identifying the ways toward achieving them (which is important in both competitive battles and war pursuance). Additionally the program engages the same logic, mathematics and three-dimensional numerical matrix.

Apparently, much of changes theory was lost. Only the hints of ancient knowledge reached us. Mathematical background elimination reduced the entire knowledge to divinatory practices and mantics.

Today work on reconstruction of this theory is ongoing. In 2017, a binding of psychological types categorizing based on Myers-Briggs type indicator (MBTI) theory *[5] *logic to SEFOR program matrix was established. Work on binding of European tone row major and minor tonalities distribution to program matrix along with correlation of Lusher Color Test logic is completed.

In the context of stratagematics, according to the research, if hexagrams allocation three-dimensional development had never existed and there had been no understanding of their numerical basis, logic of stratagems and their classification as they were described in “The Thirty-Six Stratagems” treatise would not have appeared.

It is no coincidence that it says: “Interpreting art of war only as an art and neglecting the fact it is based on precise calculations, - means not to know how to practice the art. <…>. Calculate many times and do not rely on principles. These principles will reveal in your calculations, but the essence of these calculations is beyond explanation”.

**References**

1. *Кобзарь А. И., Тикменов В. Н.* Математика и информатика стратагемы (в порядке обсуждения) // Электронные информационные системы. 2017. №2 (13). С. 5-24.

2. *Малявин В. В.* Искусство управления. М.: Астрель, АСТ, 2004. 432 с.

3. Сайт СЭФОР [электронный ресурс]. URL: http://www.sefor.su/

4. *Фалев А. И.* Классическая методология традиционной китайской чжень-цзю терапии (иглоукалывание и прижигание). М.: Изд-во ТОО «Олимпия», 1993. 199 с.

5. *Кручинин А. С.* И цзин и психология, математика иррационального / Сайт СЭФОР [электронный ресурс]. URL: http://sefor.su/page.php?id=42 (дата обращения 03.01.2019).

**Annotation.**

In this small book the unusual phenomenon of our world are explained, the real world structure is shown. There you see what is hidden behind a veil of beliefs and superstitions. The book is about the secret meaning of Oriental Medicine. It’s about supernatural. A little about modern physics and history. Also about returning of ancient knowledge and about new fantastic technologies. There you find the amazing Mathematics explanation, that is the basis of the Book of Changes (I Ching) and the “36 stratagems” tractate. That is also the basis of computer programme, that gives advices and helps us to make the right decisions in difficult situations. This is a story about the mysterious and wonderful, knowledge revealed to us. If you take it’s description consistently and accurately, using the physics and mathematics formulas, you’ll get multivolume scientific work, incomprehensible to most readers. That’s why the most complicated questions are described in a simple and easy way. So, that could be clear even to a housewife, as Rutherford once said. The whole book is an attempt to tell how our world looks, and not from the inside, but from outside, from unrevealed. And about new fantastic opportunities that such vision of the world gives us.

You start doing something hoping for the best but as usual everything comes out worse. Then you begin analyzing the situation: how to cope with all your difficulties. If you fail to think of something yourself, you ask for somebody’s advice. If a person doesn’t know who to ask for help, he may even turn to fortune telling, honestly believing that supernatural forces can help better.

How to make this job easier? Nowadays people have calculators to solve simple tasks, they have programmes which can easily win in a chess match. We have created a unique computer programme which is able to solve not chess problems but real life situations so important for us and our whole well-being.

If you are confronted with a problem, for example, not knowing what to do, you just enter its description into the programme and here come a few ways of solving it. All you need is just to choose the way you like most. The programme will not only give you advice what to do but also what not to do in this or that situation, what to be afraid of and what not, to rush with the decision-making or not and so on. The programme will provide you with a complete step-by-step plan of actions.

This programme is called “SEFOR” (System of effective formation and optimization of solutions). It has been based on the Theory of Changes.

If you rely on logic, you will find definite mathematical principles of the events happening, the analysis of how the situation can possibly develop and ways of making proper decisions.

If you trust your emotions and feelings more, relying on your intuition in problem-solving, this programme provides you with an opportunity to analyze your emotional state. Your personal feelings will be included into the description of the situation as well as in the recommendations how to solve it.

In fact, this programme is an electronic advisor which gives you possible ways of solving the situation you’ve faced with. You just have to choose the way you like and then step by step you should follow the recommendations.

But don’t forget that this programme gives you just advice, but the choice of possible situations and persistence depend on you. Your actions will cause some changes in the situation and thus you may face the necessity to ask for help again due to some new circumstances.

At present we have created and are experimenting with our basic version of the programme. We have developed a simplified version of the programme to solve simple problems in life. Now we are working on a new version of this programme which analyzes possible conditions of a person’s body and possible changes from one condition to another. The current analysis is being conducted on the data gathered with the help of the ROFES acupuncture diagnostics. We have also started working on a modification of the programme aimed at solving problems at the level of enterprise management.

**Characteristics of the programme**

This computer programme is based on the restored logic of the Theory of Changes. This logic is partially described in a Chinese classical book called “The Book of Changes” (I Ching).

The theory is so global, comprehensive and brilliant in its simplicity, that it is naive to describe it as an ancient primitive proto-logic. The efforts of all the civilization during many centuries have failed to produce such a theory.

It is not a speculative teaching that enables to describe these or those processes, it’s the basic logic how our universe has been functioning and all the processes are logic-dependent. Wish it or not, any cyclic process in three-dimension space is based on these principles.

Unfortunately today we have a more primitive interpretation of this ancient theory. We also can see the degradation of this teaching since it’s used in fortune-telling; we can also find some precise application of the knowledge of this theory in eastern medicine, u-shoo, and so on.

The correctly restored logic of the Theory of Changes gives the following opportunities at a higher quality level:

- Hexograms are completed not on the basis of fortune-telling but on the answers given to a number of clarifying questions while defining the situation. Or else they are based on the measurements of acupuncture diagnostics of the condition of the body.
- The images (“Windows”) used in the programme are pictures which reflect the emotional side of the analyzed situation.
- Comments to hexograms have been reviewed and amended by the author of this programme to include precise mathematical logic of cyclic interaction between both “opposite” and “reflecting” hexograms and the corresponding lines of these hexograms.
- There is a rigid classification of quality characteristics of hexograms, their interconnection, change from one to another depending on changes in quality parameters.
- Changing from one situation to another we define a hexogram of the shift, which characterizes the actions necessary for such a shift as well as the time required.
- We have determined “8 traps” – algorithms when a person’s body or bodies of a whole group of people develop certain addictions (physiological or psychological).
- The sequence of hexograms is based on precise mathematical calculations and is represented in the form of a volumetric matrix, which enables to monitor possible changes of the situation and make the optimal decisions.
- The volumetric matrix demonstrates close interconnection between certain hexograms and definite time. Thus, there is an opportunity to calculate actions in advance and their outcome in relation to time.
- We have determined the logic of time circulation in the volumetric matrix, thus we can create “the clock of destiny”.

According to the Theory of Changes, every object has its own individual time of some internal processes in relation to the time of outer space cycles.

The notion of time in material and non-material world has different meanings, as there is no any cycle in non-material world. A cycle is a typical feature of the material world, which exists due to the cyclic character of changes.

According to this theory time has not only quantitative characteristics but also definite qualitative ones.

All this gives us an opportunity to analyze the quantitative and qualitative parameters of any processes: from functioning of mechanisms to processes in the life of a person, the society and global space processes.

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