User:Rmcnew/Gregory Reinin

Gregory Reinin is a Russian Mathematician from St. Petersburg. He is best known for his association with Aušra Augustinavičiūtė and his hypothesis of 11 new mathematically derived dichotomies, which are in addition to the already known Jungian dichotomy (making a total of 15 dichotomies, plus one "null dichotomy" making 16 in total). The result of his work on sociotypes, using booleon algebra, calculus, and orthogonal methods of reduceing types to base 2 binary form as a means to describe intertype relationships and informational metabolism, have given these dichotomies the name “Signs of Reinin,” as they are currently known in the russian language. Gregory Reinin is credited with Alexander Bukalov and Victor Gulenko, as a chief player in the later developments and standardization of socionics theory after Aušra Augustinavičiūtė.

While the mathematical theories of Reinin have received a reasonable degree of criticism, they have been considered fundamental on the basis that mathematical explanations have become a standard part of the development and understanding of socionics theory since they were acknowledged, approved by Aušra Augustinavičiūtė as an explanation for her own understanding of information metabolism within the theory of Model-A. In 1985, Aušra Augustinavičiūtė authored a socionics book titled "The Theory of Reinin's Traits" in honor of his contribution to socionics theory.

History
In 1980, Aušra Augustinavičiūtė and Larissa Kobrin suggested that in addition to the four Jungian dichotomies, there exists another 11 dichotomous traits resulting from the multiplication of Jungian dichotomies. Later, the mathematician Gregory Reinin summed up the mathematical basis for this hypothesis, which gave these dichotomies their name. The "Signs of Reinin" are currently used in the type testing diagnosis of some socionic schools. In 1985 Aušra Augustinavičiūtė further acknowledged the mathematical theories of Reinin with the authoring of a book titled "The Theory of Reinin's Traits" to describe the mathematical processes of socionics theory. Mathematical methods have been a standard part of socionics theory since this time.

Signs
Considering that all 16 sociotypes together can be determined by the 4 already well-known Jungian dichotomies alone, the standard of type derivation is done on the grounds of logic - ethics, sensing - intuition, rationality - irrationality and introversion - extroversion. However, while this by itself does not complete a set of orthogonal characteristics, by mathematical multiplication of the 4 known functions you can get 11 more derivative features. Since all 15 signs are equal, derivatives can be obtained from any four independent dichotomies.

In practice the idea of equal attributes has not been confirmed. For example, the quartet features Extraversion, process, fun and Kvestimnost meets not one but two types: ILE and EIE. This is not difficult to verify using the table features. It is easy to find other like the Quartet features.

static - dynamic democracy - aristocratic prudent - decisive lofty - down to earth careless - prudence flexible - stubborn kvestimnost - deklatimnost positivism - negativism tactics - strategy constructivism - emotivizm the process - the result

Table signs Reynina. On the left are listed all the pairs of characters, from the top - all types of information metabolism. Right written formulaic relationship between the features Reynina. The + sign in the table indicates the presence of a type characteristic of the first pair - indicates the presence of a second.

Mathematical justification signs Reynina
Of the two orthogonal binary attributes X and Y, using the relation in the right table, you can get a binary trait X * Y, which is orthogonal to the previous two. Total, with n independent dichotomies, it is possible to get 2 n 1 n derivatives of orthogonal features, including derivatives of derivatives. Hence, multiplying the 4 independent dichotomy of Jung, you can get 11 signs of the derivatives.

Из двух ортогональных бинарных признаков X и Y, воспользовавшись соотношением в таблице справа, можно получить бинарный признак X*Y, который является также ортогональным предыдущим двум. Всего, имея n независимых дихотомий, можно получить 2n−1−n производных ортогональных признаков, включая производные от производных.

Бинарные признаки можно рассматривать как совокупность сечений социона. Сечением множества назвается совокупность двух непересекающихся множеств $$\langle m,\bar m\rangle$$, в совокупности дающих это самое множество.

Взяв два сечения $$X = \langle x,\bar x\rangle$$ и $$Y = \langle y,\bar y\rangle$$, можно из него получить новое сечение:
 * $$Z = \langle z,\bar z\rangle = \langle xy+\bar x\bar y,\bar xy+x\bar y\rangle = X\times Y$$,

где операция, отображающая данное действие, $$X\times Y$$ называется перемножением сечений.

Перемножение двух сечений из $$X, Y, Z$$ даёт третий, а перемножение признака на самого себя даёт тождественное сечение $$E = \langle S, \emptyset\rangle$$. Совокупность сечений, $$X, Y, Z, E$$ является полным набором сечений, получаемых операцией умножения, и образует группу.

Если взять за исходные сечения $$X$$ и $$Y$$ два Юнговских признака, делящих социон на две части по 8 типов, то, очевидно, что новый признак $$Z$$ будет также делить социон на две равные части. Производя такую операцию для всех 4 юнговских признаков получается всего 15 признаков, образующих в совокупности с тождественным сечением группу по операции умножения.

Dichotomy Jung
Logic / Ethics Intuition / sensing Extraversion / introversion Irrationality / rationality

The signs, which are formed by multiplying the two Jungian dichotomies
Democracy / aristocracy = logic / ethics * Intuition / sensing Will compromise / obstinacy = logic / ethics * Extraversion / introversion carelessness / Prudence = intuition / sensing * Extraversion / introversion Constructivism / emotivizm = logic / ethics * irrationality / rationality Tactics / strategy = intuition / sensing * irrationality / rationality Static / dynamic = Extraversion / introversion * irrationality / rationality

The signs, which are formed by multiplying the three Jungian dichotomies
Positivism / negativity = logic / ethics * Intuition / sensing * Extraversion / introversion Process / Result = logic / ethics * Intuition / sensing * irrationality / rationality Hilarity / seriousness = logic / ethics * Extraversion / introversion * irrationality / rationality Judgment / determination = intuition / sensing * Extraversion / introversion * irrationality / rationality

Symptom formed by multiplying the four Jungian dichotomies
Kvestimnost / deklatimnost = logic / ethics * Intuition / sensing * Extraversion / introversion * irrationality / rationality

Individual, dyadic, and kvadralnye signs
The signs, which differ in the dual pair, called the individual; features common to the dual pair, but differ between the two dual pairs quadra - dyadic, features common to all quadra - kvadralnymi.

Individual symptoms - logic / ethics, intuition / sensing, extraversion / introversion, constructivism / emotivizm, tactics / strategy, static / dynamic, positivism / negativism, kvestimnost / deklatimnost Dyadic signs - rationality / irrationality, pliability / stubbornness, foresight / carelessness, process / outcome Kvadralnye signs - democracy / aristocracy, hilarity / seriousness, sobriety - decisiveness

Таблица признаков Рейнина


Aspect filling characteristics Reynina
Each pair of characters has its own meaning and expression in motivation and behavior. Next will be described in each pair.

Before describing the structure of the line indicates a model for sociotypes having an appropriate sign, definable and multiple text. ,  —      : In the formula writing letters indicated aspects and figures - a function of model A in the following order:

program (basic) creative role painful suggestive (instilled) activation Observation background (demonstrative)

Logic Ethics
Сила или слабость рациональных аспектов — логики и этики.

Intuition sensing
Сила и слабость иррациональных аспектов — сенсорики или интуиции. Способность работать с конкретной или абстрактной информацией.

Extraversion introversion
Интерес к внешнему или внутреннему миру.

Irrationality rationality
Ощущение или осмысление. Планирование или экспромт.

Democracy aristocracy
Стремление к иерархии или равноправию.

Constructivism emotivizm
Сочувствие и помощь.

Tactics Strategy
Знание как действовать по ситуации или в общем.

Statics Dynamics
Мышление процессами или состояниями.

Positivism negativism
Внимание к наличию или отсутствию.

The process the result
Эволюция и инволюция.

hilarity gravity
Эмоции или отношения.

Discretion decisiveness
Слово или дело. Удовольствие или воля.

Kvestimnost deklatimnost
Вопросы или утверждения.

Criticism signs Reynina
Signs Reynina criticized for lack of practical reasonableness, incorrect methodology. Not all of Socionists recognize signs Reynina. Critics signs Reynina (D. and M. Lytova, Ermakov, S. Kelgankin) note that in this hypothesis, there was a revision of a number of basic socionic and mathematical concepts, as well as criticize the empirical research evidence Reynina for methodological incorrectness. Nevertheless, in Socionics many of their supporters, despite significant differences in their understanding of the various schools and the lack of evidence.


 * Критика признаков Рейнина и свод публикаций о данной гипотезе
 * Критика признаков Рейнина и ответ на критику
 * "О признаках, дихотомиях, функциях и задаче распознавания образов"
 * "Применимость операций над множествами в задачах классификации"

Links

 * Сайт "Признаки Рейнина"
 * Признаки Рейнина на сайте Петербургской школы соционики
 * Наполнение признаков Рейнина - результаты практических исследований
 * Критика признаков Рейнина и свод публикаций о данной гипотезе
 * Калькулятор признаков Рейнина
 * Мифы признаков Рейнина
 * Признаки Рейнина в примерах по результатам удаленного типирования
 * Признаки Рейнина с точки зрения математики
 * Раздел "Признаки Рейнина" на Социофоруме
 * Онлайн-справочник по признакам Рейнина с калькулятором для расчета вероятности ТИМа

History Articles
Sources:

http://www.socionics.ibc.com.ua/ej/soc_05_2.html#top

Translations:

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