) - mental distraction, isolation from certain aspects, properties or relationships of objects or phenomena to highlight essential features.

The word "Abstraction" is used in two senses:

  • Abstraction process, same as abstraction»
  • Abstraction - « abstract concept», « abstract”, the result of abstraction.

An abstract concept is a mental construct that is a concept or an idea that can personify certain objects or phenomena of the real world, but at the same time abstracted from their specific incarnations. Abstract constructions may not have direct analogues in the physical world, which is typical, for example, for mathematics (in general, probably the most abstract science).

The need for abstraction is determined by the situation when the differences between the nature of the intellectual problem and the being of the object in its concreteness become apparent. In such a situation, a person uses, for example, the possibility of perceiving and describing a mountain as a geometric shape, and a moving person as a certain set of mechanical levers.

Some types of abstraction, by types of non-essential:

  • general abstraction- gives a generalized picture of the phenomenon, abstracted from particular deviations. As a result of such abstraction, a common property of the objects or phenomena under study is singled out. This type of abstraction is considered the main one in mathematics and mathematical logic.
  • idealization- replacement of a real empirical phenomenon with an idealized scheme, abstracted from real shortcomings. As a result, the concepts of idealized (ideal) objects are formed (“ideal gas”, “absolutely black body”, “straight line”, “spherical horse in a vacuum” (from a joke about idealization), etc.)
  • isolating abstraction- isolation of the phenomenon under study from a certain integrity, distraction from options that are not of interest.
  • abstraction of actual infinity- a distraction from the fundamental impossibility to fix each element of an infinite set, that is, infinite sets are considered as finite.
  • constructivization- distraction from the uncertainty of the boundaries of real objects, their "roughening".

By goals:

  • formal abstraction- isolation of properties important for theoretical analysis;
  • meaningful abstraction- isolation of properties of practical importance.

The concept of "abstract" is opposed to the concrete (concrete thinking - abstract thinking).

See the epistemological law "Ascent from the abstract to the concrete".

Abstract thinking implies operating with abstractions (“man in general”, “number three”, “tree”, etc.), which can be considered a more developed level of mental activity compared to concrete thinking, which always deals with specific objects and processes ( "brother Vasya", "three bananas", "oak in the yard", etc.). The ability for abstract thinking is one of the distinguishing features of a person, which, apparently, was formed simultaneously with language skills and largely due to language (for example, one could not even mentally operate with the number "three in general" without having a specific language sign for it - “three”, because in the world around us such an abstract, unattached concept simply does not exist: it is always “three people”, “three trees”, “three bananas”, etc.).

  • In software engineering, abstraction refers to an algorithm and method of simplifying and separating details to focus on some concepts at the same time.

see also

  • Abstraction layer (abstraction level) in programming

See what "Abstract Thinking" is in other dictionaries:

    abstract thinking- 3.2 abstract thinking: Thinking, which is the ability of the operator to form general concepts, breaking away from reality in perceptions, to reflect (to be in a state of reflection). Source … Dictionary-reference book of terms of normative and technical documentation

    Abstract thinking Dictionary-reference book on educational psychology

    Abstract thinking- thinking, operating with complex abstract concepts and conclusions, which makes it possible to mentally isolate and turn individual aspects, properties or states of an object, phenomenon into an independent object of consideration. Such a distinct and... ... Dictionary of Educational Psychology

    Abstract thinking- the same as conceptual thinking, i.e. the ability of a person to form abstract, indirect, not visual, purely mental ideas about objects, in which the main properties of specific things are generalized ... Beginnings of modern natural science

    ABSTRACT THINKING- See abstraction; thinking... Explanatory Dictionary of Psychology

    abstract thinking- Relying on language, the highest, actually human type of thinking, carried out in the form of concepts, judgments, conclusions ... Dictionary of linguistic terms T.V. Foal

    Abstract thinking operator- Abstract thinking: thinking, which is the ability of the operator to form general concepts, breaking away from reality in perceptions, to reflect (to be in a state of reflection) ... Source: GOST R 43.0.3 2009. National standard ... ... Official terminology

    Directed process of information processing in the cognitive system of living beings. M. is realized in acts of manipulation (operating) with internal mental representations that obey a certain strategy and lead to the emergence of ... ... Philosophical Encyclopedia

    Abstraction, or abstract, (from Latin abstractio "distraction", introduced by Boethius as a translation of the Greek term used by Aristotle) ​​mental distraction, isolation from certain aspects, properties or connections of objects or phenomena for ... ... Wikipedia

    thinking- I thought/nee \u003d we/thinking; see think 1) A person's ability to think, reason, draw conclusions; a special step in the process of reflection by consciousness of objective reality. Scientific thinking. The brain is the organ of thought. Develop thinking... Dictionary of many expressions

Books

  • How emotions affect abstract thinking and why mathematics is incredibly precise. How the cerebral cortex is arranged, why its capabilities are limited and how emotions, complementing the work of the cortex, allow a person to make scientific discoveries, A. G. Sverdlik. Mathematics, unlike other disciplines, is universal and extremely accurate. It creates the logical structure of all natural sciences. "The incomprehensible efficiency of mathematics", as in its time...
  • How emotions affect abstract thinking and why mathematics is incredibly accurate How the cerebral cortex is arranged, why its capabilities are limited, and how emotions, complementing the work of the cortex, allow a person to make scientific discoveries, Sverdlik A. Mathematics, unlike other disciplines, is universal and extremely accurate. It creates the logical structure of all natural sciences. "The incomprehensible efficiency of mathematics", as in its time...

A variety of information about the outside world enters our brain through the senses in the form of sounds, smells, tactile sensations, visual images, nuances of taste. But this is raw information that still needs to be processed. This requires mental activity and its highest form - abstract thinking. It is it that allows not only to make a detailed analysis of the signals entering the brain, but also to generalize, systematize, categorize them and develop an optimal behavior strategy.

- the result of a long evolution, in its development it has gone through several stages. Abstract thinking is today considered its highest form. Perhaps this is not the last step in the development of human cognitive processes, but so far other, more advanced forms of mental activity are unknown.

Three stages in the development of thinking

The formation of abstract thinking is a process of development and complication of cognitive activity. Its main regularities are characteristic of both anthropogenesis (the development of mankind) and ontogenesis (the development of a child). In both cases, thinking goes through three stages, increasingly increasing the degree of abstractness or abstraction.

  1. This form of cognitive processes begins its path with visual-effective thinking. It is concrete in nature and is associated with objective activity. In fact, it is carried out only in the process of manipulating objects, and abstract reflections are impossible for him.
  2. The second stage of development is figurative thinking, which is characterized by operations with sensory images. It can already be abstract and is the basis of the process of creating new images, that is, imagination. At this stage, both generalization and systematization appear, but still figurative thinking is limited to direct, concrete experience.
  3. The possibility of overcoming the framework of concreteness appears only at the stage of abstract thinking. It is this type of mental activity that makes it possible to achieve a high level of generalization and operate not with images, but with abstract signs - concepts. Therefore, abstract thinking is also called conceptual.

Figurative thinking wears, that is, it resembles circles diverging in different directions from a stone thrown into the lake - the central image. It is quite chaotic, the images intertwine, interact, evoke. In contrast, abstract thinking is linear, thoughts in it line up in a certain sequence, subject to strict laws. The laws of abstract thinking were discovered in the era of Antiquity and combined into a special field of knowledge called logic. Therefore, abstract thinking is also called logical.

Abstract Thinking Tools

If figurative thinking operates with images, then abstract thinking operates with concepts. Words are his main tool, and this type of thinking exists in speech form. It is the speech formulations of thoughts that allow you to build them logically and sequentially.

Words organize and facilitate thinking. If something is not clear to you, try to talk about this problem, or even better, explain it to someone. And believe me, in the process of this explanation, you yourself will understand even a very difficult issue. And if there are no people willing to listen to your reasoning, then explain to your reflection in the mirror. This is even better and more efficient, since the reflection does not interrupt, and you can also feel free to express yourself in expressions.

The clarity and clarity of speech directly affects mental activity and vice versa - a well-formulated statement requires its comprehension and internal study. Therefore, abstract thinking is sometimes called inner speech, which, although it also uses words, is still different from ordinary, sound:

  • it consists not only of words, but also includes images and emotions;
  • inner speech is more chaotic and broken, especially if a person does not try to specially organize his thinking;
  • it has a convoluted character, when some of the words are skipped and attention is focused on key, significant concepts.

Inner speech resembles the statements of a small child 2-3 years old. Children at this age also designate only key concepts, everything else in their head is occupied by images that they have not yet learned to call words. For example, a baby who just wakes up exclaims joyfully: “Bye-bye - a woman!” Translated into "adult" language, this means: "It's great that while I was sleeping, my grandmother came to us."

Fragmentation and conciseness of inner speech is one of the obstacles to the clarity of abstract-logical thinking. Therefore, it is necessary to train not only external, but also internal speech, achieving the most accurate mental formulations in the process of solving complex problems. Such an ordered inner speech is also called inner pronunciation.

The use of words in thinking is a manifestation of the sign function of consciousness - what distinguishes it from the primitive thinking of animals. Each word is a sign, that is, an abstraction associated with a real object or phenomenon by meaning. Marshak has a poem "Cat's House", and there is such a phrase: "This is a chair - they sit on it, this is a table - they eat at it." This is a very good illustration of meanings - the connection of a word with an object. This connection exists only in a person’s head; in reality, the combination of sounds “table” has nothing to do with a real object. In another language, a completely different combination of sounds is endowed with such a meaning.

The establishment of such connections, and even more so the operation in the mind not with specific images, but with abstract signs, words, numbers, formulas, is a very complex mental process. Therefore, people gradually master it up to adolescence, and even then not all and not fully.

Logic is the science of conceptual thinking

Logic, as the science of thinking, was born more than 2 thousand years ago in Ancient Greece. At the same time, the main types of logical thinking were described and the laws of logic were formulated, which remain unshakable to this day.

Two kinds of thinking: deduction and induction

The elementary unit of abstract-logical thinking is a concept. Several concepts combined into a coherent thought is a judgment. They are affirmative and negative. For example:

  • “In autumn, leaves fall from the trees” - affirmative.
  • “In winter, there are no leaves on the trees” - negative.

Judgments are either true or false. Thus, the proposition “In winter, young leaves grow on trees” is false.

From two or more judgments, one can draw a conclusion or conclusion, and this whole construction is called a syllogism. For example:

  • 1st premise (judgment): "In autumn, leaves fall from the trees."
  • 2nd premise (judgment): "Now the leaves have begun to fly around the trees."
  • Conclusion (syllogism): "Autumn has come."

Depending on the method on the basis of which the conclusion is made, there are two types of thinking: deductive and inductive.

Method of induction. From several particular judgments, a general conclusion is drawn. For example: “schoolboy Vasya does not study in the summer”, “schoolchild Petya does not study in the summer”, “schoolgirls Masha and Olya also do not study in the summer”. Consequently, "schoolchildren do not study in the summer." Induction is not a very reliable method, since an absolutely correct conclusion can be drawn only if all special cases are taken into account, and this is difficult, and sometimes impossible.

deduction method. In this case, reasoning is built on the basis of general premises and information given in the judgments. That is, the ideal option: one general judgment, one particular judgment, and the conclusion is also a particular judgment. Example:

  • “All schoolchildren have holidays in the summer.”
  • "Vasya is a schoolboy."
  • "Vasya has a vacation in the summer."

This is how the most elementary conclusions in logical thinking look like. True, in order to draw correct conclusions, certain conditions or laws must be observed.

Laws of logic

There are four basic laws, and three of them were formulated by Aristotle:

  • The law of identity. According to him, any thought expressed within the framework of logical reasoning must be identical to itself, that is, remain unchanged throughout the entire reasoning or dispute.
  • The law of contradiction. If two statements (judgments) contradict each other, then one of them is necessarily false.
  • Law of the excluded middle. Any statement can be either false or true, something else is impossible.

In the 17th century, the philosopher Leibniz supplemented these three with a fourth law of "sufficient reason." The proof of the truth of any idea or judgment is possible only on the basis of the use of reliable arguments.

It is believed that it is enough to follow these laws, to be able to correctly form judgments and draw conclusions, and any most difficult task can be solved. But now it has been proven that logical thinking is limited and often faltering, especially when a serious problem arises that does not have one single correct solution. Abstract-logical thinking is too straightforward and inflexible.

The limitations of logic were proved already in the era of Antiquity with the help of the so-called paradoxes - logical problems that have no solution. And the simplest of them is the "liar's paradox", which refutes the inviolability of the third law of logic. In the IV century BC. e. the ancient Greek philosopher Eubulides shocked the supporters of logic with one phrase: "I lie." Is this a true or false proposition? It cannot be true, since the author himself claims that he is lying. But if the phrase "I'm lying" is false, then in this way the proposition becomes true. And logic cannot overcome this vicious circle.

But abstract-logical thinking, despite its limitations and inflexibility, is best controlled and itself very well "organizes the brain", makes us adhere to strict rules in the thought process. In addition, the abstract form of thinking continues to be the highest form of cognitive activity. Therefore, the development of abstract thinking is relevant not only in childhood, but also in adults.

Exercises for the development of abstract thinking


Think about what shapes can be made from these details.

The development of this type of thinking is closely related to speech activity, including the richness of vocabulary, the correct construction of sentences and the ability to analyze information.

Exercise "Prove the contrary"

This exercise is best done in writing. In addition to convenience, written speech has another important advantage over oral speech - it is more strictly organized, streamlined and linear. Here is the task itself.

Choose one of the relatively simple, and most importantly, consistent statements. For example: "A seaside vacation is very attractive."

Now find arguments that prove the opposite - the more rebuttals, the better. Write them down in a column, admire and find a rebuttal to each of these arguments. That is, again prove the truth of the first judgment.

Abbreviations exercise

This exercise is good to do in a company, it is not only useful for thinking, but it can also entertain you, for example, during a long journey, or brighten up the wait.

You need to take several arbitrary combinations of 3-4 letters. For example: UPC, UOSK, NALI, etc.

Next, imagine that these are not just combinations of letters, but abbreviations, and try to decipher them. Perhaps something humorous will turn out - it's not worse. contributes to the development of thinking. I can offer the following options: SKP - "Council of Creative Writers" or "Union of Krivorukov Producers". UOSK - "Management of individual social conflicts", etc.

If you are doing the task in a team, compete on who has the most original name and what such an organization can do.

Exercise "Working with concepts"

Exercises with concepts, more precisely with abstract categories, which have no analogues in the material world, develop abstract thinking well and establish a connection between thought processes of different levels. As a rule, such categories reflect the qualities, properties of objects, their interdependence or contradictions. There are many such categories, but for the exercise you can take even the simplest ones, such as “beauty”, “fame”, “hatred”.

  1. Having chosen one of the concepts, try to explain as simply as possible (in your own words) what it is. Just avoid explaining through examples (“this is when ...), they even scold you for this at school.
  2. Pick up synonyms for this concept and try to determine if there are any differences, nuances between the main word and the synonym.
  3. Come up with a symbol of this concept, it can be both abstract and concrete, expressed in words or in a graphic image.

After you have worked with simple concepts, you can move on to complex ones. For example, such: “congruence”, “victimity”, “resistance”, etc. If you do not know what it is, then it is permissible to look at the definitions of these words, but you will still explain them in your own words.

The benefit of developing abstract thinking is not only in learning to solve logical problems. Without it, success in the exact sciences is impossible, it is difficult to understand many economic and social laws. In addition, and importantly, this thinking will make speech more correct and clear, teach you to prove your point of view on the basis of strict laws of logic, and not because “I think so.”

In the process of understanding the world, a person is faced with exact values, quantities, definitions.

However, in order to compose a complete picture of a particular phenomenon, this is often not enough.

Moreover, it is often necessary to operate unknown or inaccurate data, generalize and systematize information on any individual properties, build various hypotheses and conjectures.

It is in such cases that a person uses abstract thinking.

Abstraction - what is it in psychology?

Abstraction- this is such a process of cognition, in which there is a distraction from non-essential properties, parameters, connections of phenomena or objects in order to identify their more important generalizing patterns.

In other words, this is a generalization that can be made over objects or phenomena, processes, abstracting from some of their properties.

The following concepts are associated with abstraction:

  1. abstract logic. It reflects a person's ability to reason, think, build statements, operating not with specific data, but with concepts.
  2. Abstract images- these are images that do not correspond to any real object.
  3. abstract reasoning- a thought that was formed on the basis of several judgments about something.

The concept of abstract thinking

What is abstract thinking in simple words? What does it mean to think abstractly?

Before considering abstract thinking in detail, it should be noted that there are the following types of thinking:


At the same time, all human mental activity can be represented in the form of the following mental operations:

  1. Analysis. Separation of the whole into parts. At the same time, knowledge of the whole is achieved through a more thorough study of its individual parts.
  2. Synthesis. Connecting disparate parts into one whole.
  3. Generalization. Identification of common features that are inherent in phenomena or objects, with their subsequent unification on this basis.
  4. Classification. Separation and grouping of phenomena or objects into classes (groups) based on both common features and their differences.
  5. abstraction. Determining the properties of phenomena or objects, based on their common features with a one-time abstraction from their other specific qualities that are not significant in this situation.

In ordinary words, abstract thinking is activated when a person does not have any accurate information, illustrative examples, does not contact real objects, but forced to speculate and draw certain conclusions.

Such thinking is inherent in theoretical scientists, mathematicians, economists, programmers.

They assimilate information in the form of numerical values, codes and transform it using formulas and mathematical operations - that is, they work with what cannot be seen, touched, heard, perceived through the sense organs.

Forms

There are such forms of abstract thinking:

  1. concept. With this form of thinking, a common property is determined that is inherent in objects that also have some differences. For example, a telephone. Phones can be touch-sensitive, push-button or even rotary, be made of various materials, have completely different additional functions - a flashlight, a camera or an infrared port, but, abstracting from these differences, one can single out their common function - to make calls.
  2. Judgment. The purpose of a judgment is to get confirmation or refutation of something. In this case, the judgment can be both simple and complex. There is no water in the cup - this judgment is simple. It is unambiguous and brief, there are no additional actions or phenomena in it. An example of a complex judgment - a cup was overturned, water poured out of it.
  3. inference. This form is a thought based on two or more judgments.

    Inference includes three stages - a premise (initial judgments), a conclusion (a logical thought process over initial judgments) and a conclusion (formed final judgment).

Examples

A good example of abstract thinking is mathematics.

When solving examples, we operate only with numbers, having no idea what subjects we are talking about - meaning only some kind of digital value.

Nevertheless, performing certain actions with this value and coming to some conclusion.

Also abstract thinking manifested in planning. A person sets any goals for himself, calculates his own possible steps and situations to which they will lead.

In this case, the supposed situation does not exist in reality, but on the basis of inferences, a person's life becomes more predictable, purposeful and organized.

And yet, abstract thinking does not always lead to a correct assessment of the situation.

For example, a woman who has had a negative experience of communicating with several male partners can make a judgment that all males have certain -, rudeness, indifference.

How to develop?

The child's use of abstract thinking starts in preschool.

As a rule, this coincides with the time when he begins to speak.

He compares his toys, finds differences between one type of animal and another, learns to write and count.

During the school period confidently thinking abstractly is already a necessity, as such subjects as mathematics and physics appear.

At the same time, the more attention was paid to the development of abstraction in childhood, the more easily a person uses this type of thinking in adulthood.

Developed abstract thinking gives a person the following advantages:

  1. Reflection of the world without the need for contact with real objects. A person can operate with any data without the need to use the senses.
  2. Generalization of phenomena. This makes it possible to more effectively obtain and use their own knowledge in various situations. A person receives any information, generalizes it with existing knowledge, and subsequently remembers and extracts it better.
  3. Clear presentation of ideas. Thought processes can proceed even without internal dialogue, but the final judgment is easily converted into speech.

Although the development of abstract thinking in childhood is of great importance, even an adult can train it by doing certain exercises.

It is important that they are systematic - only constant training can lead to tangible results.

Tasks

Tasks for abstract thinking:

  1. Making up oxymorons. You should come up with several phrases in which the words will be opposite in meaning - for example, black snow, cold fire, bright darkness.
  2. Reverse reading. For this exercise, you need to read a fiction book chapter by chapter in reverse order, trying to determine how exactly the story began in the book, what preceded this or that event.

    This is a rather difficult exercise, so it is best to take works with a simple plot.

  3. Item functions. You should come up with the maximum possible number of ways to use this or that thing - for example, you can write a letter on a piece of paper, make an envelope out of it, light a fire with it, etc.
  4. Communication analysis. In the evening, you need to imagine the people with whom you communicated in the daytime, while remembering not only the content of the conversation, but also the tone, posture of the interlocutor and his gestures, facial expressions, surroundings - and reproduce the dialogue in memory as detailed as possible.
  5. Initial. You should write any letter on a piece of paper and for a certain time period try to remember the maximum number of words that begin with this letter.

abstraction

Abstraction in psychology- this is such a focus of a person's attention on a particular situation, in which he perceives it from the third position, that is, without participating in it, being above it.

Abstraction sets the general direction, helps better formulate the goal, discard irrelevant factors in the situation, focusing on more important nuances.

Lack of abstraction from the situation can lead to a feeling of moral dissatisfaction, low and problems with communication.

How to learn to abstract?

By applying not very complex psychological techniques, one can learn to abstract from the fact that what might be bothering you set your own goals and achieve them:

From society

Prolonged stay in the same society can negatively affect a person as a person - gradually this society, patterns of thinking and perception of certain situations enter his life. This reduces the flexibility of behavior and response in different situations.

In order to abstract from society, try to stay alone longer. At the same time, try not to remember your surroundings. Concentrate on your own desires.

Choose something the activity you like best- walking in the forest, picking mushrooms, fishing, meditation, reading a book - one that does not require the presence of another person nearby.

Change the type of activity- new experiences will make you digress from the usual patterns and switch to your own perception.

From a man

Some people, despite not being perceived as unpleasant by us, can significantly influence to ours.

At the same time, the desires of this person can be superimposed on our own ideas and desires.

In order to abstract from a particular person, you can time to change the circle of communication.

It is desirable that new acquaintances sympathized you, and communication delivered.

Analyze how this person differs from your new acquaintances and identify the differences. You can also be alone while doing what you love.

From bad people

It happens that you have to be in the company of people unpleasant to you, which you cannot avoid - for example,. At the same time, the actions or behavior of these people can interfere with concentration on the task in progress.

In order to abstract from them, do not try to exclude them from your attention, do not perceive their speech as something that can be stopped, but imagine that this is background noise that can disappear by itself.

Like, for example, you can often not hear the ticking of a clock or not think about what is happening on the screen of an always-on TV.

From the situation

In difficult situations, your thoughts may be confused, and your emotions impede a sensible cold-blooded decision.

In such cases, you need to focus on breathing and count, for example, to ten.

Correct estimate can only come with time.

Also try to imagine that you are away from the place, or that the situation is with another person. Try to brush aside minor distracting details, focusing on the most important issues.

Habit can help you learn to abstract plan your affairs in advance setting a clear goal and following it.

In any situation, try to highlight important and minor points - you may first have to analyze several cases and write the conclusions in a notebook. Learn to sequence - do not try to do several things at once.

Abstract thinking is used by us in many life situations, so you can not ignore the ability to quickly and correctly think abstractly.

Take it for granted that thought processes are similar to sports physical exercises - regular exercise help you develop your skills.

About abstract human thinking in this video:

When a person does not know something, he turns on abstract thinking, which helps him make guesses, make judgments, and reason. To understand what it is, you need to familiarize yourself with examples, forms and methods of its development.

What is Abstract Thinking?

What is it and why does the psychotherapeutic help site psymedcare.ru touch on the topic of abstract thinking? It is the ability to think in general that helps in finding a solution to an impasse, in the emergence of a different view of the world.

There is precise and generalized thinking. Accurate thinking is activated when a person has knowledge, information and a clear understanding of what is happening. Generalized thinking turns on when a person does not know the exact data, does not have specific information. He can guess, assume, draw general conclusions. Generalized thinking is abstract thinking in simple words.

The scientific language of abstract thinking is a type of cognitive activity when a person moves away from specific details and begins to reason in general. The picture is considered as a whole, without affecting the details, specifics, accuracy. This contributes to the departure from the rules and dogmas and consideration of the situation from different angles. When an event is considered in general, then there are various ways to solve it.

Usually a person proceeds from specific knowledge. For example, a man lies on the couch and watches TV. The thought arises: "He is a slacker." In this situation, the viewer proceeds from his own ideas about what is happening. What could actually be happening? The man lay down for 5 minutes to rest. He had already done everything around the house, so he allowed himself to watch TV. He got sick, so he lies on the couch. There can be many variations of what is happening here. If you ignore the specifics and look at the situation from different angles, then you can find out a lot of new and interesting things.

In abstract thinking, a person thinks approximately. There are no specifics or details here. Generalized words are used: “life”, “world”, “in general”, “by and large”.

Abstract thinking is useful in situations where a person cannot find a way out (intellectual impasse). Due to the lack of information or knowledge, he is forced to reason, guess. If we abstract from the situation with its specific details, then we can consider in it what was not noticed before.

Abstract logical thinking

In abstract-logical thinking, abstractions are used - units of certain patterns that have been isolated from the "abstract", "imaginary" qualities of an object, phenomenon. In other words, a person operates with phenomena that he cannot “touch with his hands”, “see with his eyes”, “smell”.

A very striking example of such thinking is mathematics, which explains phenomena that do not exist in physical nature. For example, there is no such thing as the number "2". The person understands that we are talking about two identical units. However, this figure was invented by people in order to simplify some phenomena.

The progress and development of mankind has forced people to use concepts that in fact do not exist. Another striking example would be the language a person uses. There are no letters, words, sentences in nature. Man invented the alphabet, words and expressions to simplify the expression of his thoughts, which he wants to convey to other people. This allowed people to find a common language, since everyone understands the meaning of the same word, recognizes letters, builds sentences.

Abstract-logical thinking becomes necessary in a situation where there is some certainty that is not yet understood and known to a person, and when an intellectual impasse arises. There is a need to identify what is in reality, to find a definition for it.

Abstraction is divided into types and purposes. Types of abstraction:

  • Primitive-sensual - highlighting some properties of an object, ignoring its other qualities. For example, considering the structure, but ignoring the form of the subject.
  • Generalizing - highlighting a common characteristic in one phenomenon, ignoring the presence of individual features.
  • Idealizing - replacing real properties with an ideal scheme that eliminates existing shortcomings.
  • Isolating - highlights the component on which attention is focused.
  • Actual infinity – infinite sets are defined as finite.
  • Constructivization - "coarseness", giving form to phenomena that have vague boundaries.

According to the goals of abstraction there are:

  1. Formal (theoretical thinking), when a person considers objects according to their external manifestations. These qualities themselves do not exist on their own without these objects and phenomena.
  2. Content, when a person can single out a property from an object or phenomenon that can exist on its own, be autonomous.

The development of abstract-logical thinking is important, since it was it that made it possible to isolate from the surrounding world that which cannot be recognized by the natural senses. Here, concepts (linguistic expressions) were formed that convey the general pattern of a particular phenomenon. Now each person does not have to identify this or that concept, since he learns about it in the process of learning at school, university, at home, etc. This brings us to the next topic about forms of abstract thinking.

Forms of abstract thinking

Since a person cannot “create a wheel” every time, he must systematize the knowledge gained. Many phenomena are not visible to the human eye, something does not exist at all, but all this is in human life, therefore it must have one form or another. In abstract thinking, there are 3 forms:

This is a thought that conveys a common property that can be traced in different subjects. They may be different. However, their homogeneity and similarity allows a person to combine them into one group. So, for example, a chair. It can be with round handles or square seats. Different chairs have a different color, shape, composition. However, their common feature is that they have 4 legs and it is customary to sit on them. The same purpose of objects and their design allows a person to be combined into one group.

People teach these concepts to children from childhood. Speaking of "dog", we mean an animal that runs on 4 legs, barks, barks, etc. Dogs themselves come in different breeds. However, they all have the same characteristics, according to which they are combined into one common concept - "dog".

People use this form of abstraction when they want to confirm or refute something. Moreover, this verbal form is unambiguous. It comes in two forms: simple and complex. Simple - for example, a cat meows. It is short and clear. The second - "the garbage was thrown out, the bucket was empty." It is often expressed in whole sentences of narrative form.

The judgment may be true or false. A true judgment reflects the real state of affairs and is often based on the fact that a person does not show any relation to him, that is, he judges objectively. A judgment becomes false when a person is interested in it and is based on his own conclusions, and not on the real picture of what is happening.

This is a thought that is formed on the basis of two or more judgments, from which a new judgment is formed. In every conclusion there are 3 components: premise (premise), conclusion and conclusion. The premise (premise) is the initial judgments. Inference is the process of logical thinking that leads to a conclusion - a new judgment.

Examples of Abstract Thinking

Having considered the theoretical part of abstract thinking, you should familiarize yourself with various examples. The most striking example of what an abstract judgment is is the exact sciences. Mathematics, physics, astronomy and other sciences are often based on abstract thinking. We do not see numbers as such, but we can count. We collect objects in a group and call their number.

The man talks about life. But what is it? This is the existence of a body in which a person moves, breathes, functions. It is impossible to give a clear definition of what life is. However, a person can unambiguously determine when someone lives and when they die.

Clearly abstract thinking manifests itself when a person thinks about the future. It is not known what will happen there, but everyone has goals, desires, plans. Without the ability to dream and imagine, a person would not be able to plan for the future. Now he seeks to realize these goals. His movement through life becomes more purposeful. Strategies and tactics are emerging that should lead to the desired future. This reality does not yet exist, but a person strives to form it the way he wants to see it.

Another common form of abstraction is idealization. People like to idealize others and the world in general. Women dream of princes from fairy tales, not noticing what men are in the real world. Men dream of obedient wives, ignoring the fact that only an unthinking being can be subordinate to another.

Many people use judgment. Often they are false. Thus, a woman may conclude that "all men are bad" after being betrayed by a single partner. Since she singles out a man as a single class, which is characterized by the same quality, she ascribes to everyone the quality that manifested itself in one person.

Often, wrong conclusions are made on the basis of false judgments. For example, “the neighbors are unfriendly”, “heating is not supplied”, “the wiring needs to be changed” means “the apartment is dysfunctional”. Based on the emotional discomfort that occurs under the circumstances, unambiguous judgments and conclusions are made that distort reality.

Development of abstract thinking

The most optimal age for the development of abstract thinking is the preschool period. As soon as the child begins to explore the world, he can be helped in the development of all kinds of thinking.

Toys are the most effective way of development. Through shapes, volumes, colors, etc., the child first begins to recognize the details, and then combine them into groups. You can give the child several toys of a square or round shape, so that he divides them into two piles according to the same characteristics.

As soon as a child learns to draw, sculpt, make with his own hands, he should be allowed to engage in such hobbies. This develops not only fine motor skills, but also contributes to the manifestation of creativity. We can say that abstract thinking is creativity that is not limited by frames, shapes, colors.

When a child learns to read, count, write and perceive words by sound, you can work with him to develop abstract-logical thinking. Riddles that should be solved are well suited here, puzzles where it is necessary to solve some question, exercises for ingenuity, where it is necessary to notice an error, an inaccuracy.

Since abstract thinking is not born with a person, but develops as he grows, various rebuses, crosswords, and puzzles will help here. There is a lot of literature on how to develop different kinds of thinking. It should be understood that some puzzles cannot develop only one type of thinking. All of them are partially or completely involved in the development of various types of cognitive activity.

Particularly effective are various life situations in which the child must find a way out of the situation. A simple task to take out the garbage will force the child to first think about how to dress and what to wear in order to leave the house and carry the garbage bag to the bin. If the garbage can is far from home, then it will be forced to predict its route in advance. Forecasting the future is another way to develop abstract thinking. Children have a good imagination, which should not be oppressed.

The result of abstract thinking is that a person is able to find solutions in any situation. He thinks creatively, flexibly, outside the box. Not always accurate knowledge is objective and able to help in any situation. Circumstances happen different, which makes a person think, reason, predict.

Psychologists note the negative consequences if parents do not engage in the development of this thinking in their child. Firstly, the baby will not learn to distinguish the general from the details and, conversely, move from the general to the details. Secondly, he will not be able to show flexibility of thinking in situations in which he does not know a way out. Thirdly, he will be deprived of the ability to predict the future of his actions.

Abstract thinking differs from linear thinking in that a person does not think in terms of cause and effect. He abstracts from the details and begins to reason in general. The most remarkable thing here is that only after a general vision of affairs can a person move on to the details that are important in a situation. And when the details do not help in solving the problem, then there is a need to abstract, to go beyond what is happening.

Abstract thinking allows you to find something new, to create, to create. If a person were deprived of such thinking, then he would not be able to create a wheel, a car, an airplane and other technologies that many people use now. There would be no progress that arises first from the ability of a person to imagine, dream, go beyond the accepted and reasonable. These skills are also useful in everyday life, when a person is faced with different characters and behaviors of people whom he has never met before. The ability to quickly rebuild and adapt to unchanging circumstances is due to abstract thinking.

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Abstract thinking

Abstract thinking is a type of thinking that allows you to abstract from small details and look at the situation as a whole. This type of thinking allows you to step beyond the boundaries of norms and rules and make new discoveries. The development of abstract thinking in a person from childhood should occupy an important place, because this approach makes it easier to find unexpected solutions and new ways out of the situation.

Basic forms of abstract thinking

A feature of abstract thinking is that it has three different forms - concepts, judgments and conclusions. Without understanding their specifics, it is difficult to sink into the concept of "abstract thinking".

The concept is a form of thinking in which an object or group of objects is reflected as one or more features. Each of these signs must be significant! The concept can be expressed both in one word and in a phrase - for example, the concepts of "cat", "leaves", "student of a humanitarian university", "green-eyed girl".

Judgment is a form of thinking in which any phrase describing the world around, objects, relationships and patterns is denied or approved. In turn, judgments are divided into two types - complex and simple. A simple proposition may sound like, for example, "the cat eats sour cream." A complex proposition expresses the meaning in a slightly different form: "The bus started moving, the stop was empty." A complex proposition usually takes the form of a declarative sentence.

Inference is a form of thinking in which, from one or a group of related propositions, a conclusion is drawn, which is a new proposition. This is the basis of abstract-logical thinking. Judgments that precede the formation of the final version are called prerequisites, and the final judgment is called the "conclusion". For example: “All birds fly. Sparrow flies. Sparrow is a bird.

The abstract type of thinking involves the free operation of concepts, judgments and conclusions - such categories that do not make sense without correlation with our everyday life.

How to develop abstract thinking?

Needless to say, the ability for abstract thinking is different for everyone? Some people are given to draw beautifully, others to write poetry, and others to think abstractly. However, the formation of abstract thinking is possible, and for this it is necessary to give the brain a reason for reflection from early childhood.

Currently, there are a lot of printed publications that provide food for thought - all kinds of collections of puzzles for logic, puzzles and the like. If you want to engage in the development of abstract thinking in yourself or your child, it is enough to find just a minute twice a week to immerse yourself in solving such tasks. The effect will not keep you waiting. It has been noticed that at an early age the brain is easier to solve this kind of problems, but the more training it receives, the better the results.

The complete absence of abstract thinking can give rise not only to many problems with creative activities, but also with the study of those disciplines in which most of the key concepts are abstract. That is why it is important to pay much attention to this topic.

Properly developed abstract thinking allows you to know what has not yet been known by anyone before, to discover various secrets of nature, to distinguish truth from lies. In addition, this method of cognition differs from others in that it does not require direct contact with the object under study and allows you to remotely draw important conclusions and conclusions.

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What is abstract thinking and how does it manifest itself?

1. Definition 2. Forms 3. Types of thinking 4. Features 5. Are people equally developed abstraction? 6. Methods for the development of abstract thinking 7. Abstract thinking and children

Each person in his daily life uses a number of thought processes, one of these is abstract thinking.

Abstract thinking is unique to man. No animal has this ability.

Definition

Abstract thinking is a type of thinking in which a person abstracts from details and thinks in broad terms, sees the big picture. This feature of the brain allows you to go beyond the ordinary, to go towards your goal regardless of the opinions of other people, to make new discoveries. In today's world, many employers greatly appreciate such abilities in their employees, this provides non-standard problem solving, new original projects. Developing abstract thinking in a child is an important task for his parents, since in many ways this is the key to his success in the future.

Forms

In order to understand the essence of thinking, it is worth understanding what forms it has. Forms of thought processes:

A concept is the ability to characterize an object or phenomenon in one or more words according to its most important features. Example: gray cat, branchy tree, dark-haired girl, small child.

Judgment is a special form of thinking that describes objects and processes in the surrounding world, their relationship and interaction. It can affirm or deny any information. Judgment, in turn, is divided into simple and complex.

An example of a simple proposition: "the grass grows." A complex proposition: “The sun is shining outside the window, therefore, the weather is good,” it has a narrative character.

Inference is a form of thinking, thanks to which, based on several judgments, a person draws a conclusion, which, in fact, will be a generalized judgment. A conclusion is made up of premises and a conclusion. Example: spring has come, it has become warmer outside, the grass has begun to grow.

Abstract thinking allows not only to freely operate with these three concepts, but also to apply them in life. Often in everyday activities we use all three forms of abstract thinking without noticing it.

Types of thinking

In psychology, there are several types of thinking. This separation is a reflection of a person's ability to combine word, action and thought or image. Psychologists categorize them as follows:

  1. Specifically effective or practical.
  2. Concrete-figurative or artistic
  3. Verbal-logical or abstract.

It is especially worth mentioning the verbal-logical type, since it is he who accompanies all the significant achievements of mankind.

Peculiarities

As has been repeatedly said, it is this type of thinking that underlies the empirical cognitive function. Psychologists are constantly trying to improve and concretize the processes that occur in our minds. It is customary to divide several directions in abstract thinking, based on the tasks that a person is trying to solve:

  1. Idealizing.
  2. Generalizing.
  3. Primitively sensual.
  4. Insulating.
  5. actual infinity.
  6. Constructivization.

The idealizing form involves the replacement of real concepts by ideals. This greatly complicates the analysis of the surrounding world, since it is very difficult to find an ideal or apply an ideal solution to real circumstances. Human representations are absolutely ideal. Example: "perfectly white snow".

Generalizing type is the main weapon of mathematicians. It is characterized by the perception of the object of thought in general, depriving it of details and specifics, and therefore, making it a little divorced from reality.

The primitive-sensory type consists in abstracting from some properties of phenomena and objects, while their other properties come to the fore. This type is the main one in any human activity, since it is responsible for the perception of the surrounding world.

The isolating type consists in concentrating on one, the most significant detail for a person, while he does not pay due attention to the rest of the subject.

Constructivization is a distraction from the general characteristics of an object or circumstance.

Also, abstract thinking is divided into:

Are people equally developed abstraction?

The answer is unequivocal - no. Each of us is endowed with abilities, and they are all different, which is why humanity is so diverse in its views, interests, aspirations. For example, someone writes poetry, and another composes prose, some cannot imagine themselves without music, while others prefer to draw in silence. Such diversity allows the society to develop, to make discoveries in all spheres of life. To live in a world where everyone thinks the same, would that be interesting? However, abstract thinking can and should be developed.

In patients with oligophrenia, mental retardation, and some other behavioral deviations, psychiatrists note poorly developed abstract thinking or its complete absence.

Development Methods

The development of abstract thinking is a long and laborious process. But everything is not as scary as it might seem at first glance. In order to develop this type of thinking, a person only needs to devote an hour or an hour and a half to solving logical problems and puzzles two or three times a week. This is a very exciting process, and you will not have time to look back, how it will become your favorite hobby! In the modern world, there are enough printed publications for the development of logic, as well as exercises and assignments can be found on the Internet. This means that finding such information is not difficult. For example, there is a popular site that presents puzzles of varying complexity.

This kind of thinking originates in the East from the time of the ancient world. It originated as a branch of logic. Logic itself is the ability to think and reason, to draw conclusions about things and their essence. Abstract thinking allows you to build theoretical schemes.

With regular practice, the results will not be long in coming. Within a few weeks, you will notice that it has become easier to think, make long-term plans, and solve issues that previously caused difficulty.

The little man is an open book in which you can write whatever you want! Children are more receptive to learning and developing any abilities. A child's abilities need to be developed through play. The modern toy industry offers a rich selection of games for early development. For example, it can be small puzzles, mosaics, a banal pyramid. At an older age, in order to teach a child to think, invite him to look at pictures in books, explain his understanding of what is happening on them.

Teaching a child to think abstractly is very important. Abstract thinking is not only the key to his creative development, but it is also the ability to question everything, to achieve everything by experience. Developed thinking helps to collect, analyze information and draw independent conclusions, and then back them up with proven facts.

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Abstract thinking - the ability to know the essence

The world surrounding a person is full of concrete things that can be seen, heard, touched. Nevertheless, there is a lot in our life that neither the eyes, nor the ears, nor other sense organs are able to determine. For example, how to imagine infinity, or how to measure the power of love, or what will happen if a modern person is suddenly moved to the distant past? There are answers to these questions, but they are ambiguous, because each person has his own idea of ​​\u200b\u200bwhat you can’t see with your eyes, you can’t hear with your ears and you can’t touch with your hands. This feature is given to him thanks to abstract thinking, which is also called abstract-logical.

Abstract-logical thinking is the privilege of exclusively people. Animals do not have the ability to draw conclusions, analyze, compare and reflect. They act on instinct. Unlike them, a person can not only study the world around him, but also, on the basis of his experience, represent its components in images and symbols, and even predict the future, considering an alternative course of events. By the way, to understand what abstract thinking is, its skills are just the same.

What are the forms of abstract thinking

Depending on what questions a person is able to answer about the world around him, three forms of abstract thinking are distinguished:

  • concept - allows a person to answer the question: “What is this?”, And in one or two words. Here, for example, a woman is standing at a bus stop, and next to her is a tall woman, and a little further away is also a woman, also tall, but extremely beautiful;
  • Judgment is the ability of a person to understand “what is happening or will happen?”. For example, when a bus pulls up, the women at the bus stop are likely to get on public transport;
  • inference - will allow you to draw a conclusion on the topic: "Why did this happen this way?". Suppose a bus drove up to the women standing at the bus stop, but only one entered it. Why are the other two left? Apparently, this route does not suit them.

Thus, abstract-logical thinking enables a person to go beyond the visible and tangible boundaries of the surrounding world and immerse himself in the world that he creates in his mind.

It should be understood that abstract thinking in psychology is the interaction of connections between the causes of phenomena and their consequences based on personal conclusions. It has nothing to do with what constitutes the area of ​​isolated emotions and feelings. Intuition also refers to the concept, which is not a form of abstract thinking.

The possibilities of abstract thinking

Thanks to the ability of a person to see more than the surrounding reality offers, he receives unique opportunities as a gift:

  • evaluate objects or phenomena by comparing them with each other;
  • analyze what is happening, decomposing the event into components or combining its disparate parts into a whole;
  • abstract from specific circumstances, separating signs from the subject;
  • generalize or concretize objects or phenomena, finding correspondences between the particular and the general;
  • systematize and classify knowledge, extracting what is necessary and pushing aside what is superfluous for a given moment in time.

All these abilities are inherent in every person, but to varying degrees. However, it is in the power of man to improve these abilities. That is why the question: “How to develop abstract thinking?” relevant at any age, although the sooner an answer is found to it, the better.

How to develop abstract thinking?

The development of abstract thinking must begin from early childhood. The younger a person is, according to scientists, the easier it will be for him to learn a new science for himself. The main thing is to do it gradually and according to age. Parents can take on board a lot of simple tricks:

  • play associations - for example, fantasize what the objects around you look like;
  • compose fairy tales with your child, the heroes of which can be everything that you have at hand - a comb, a refrigerator, a zucchini grown in a garden;
  • draw each other's drawings or ask your child to continue one given sketch in different versions - what is hidden behind a zigzag across the entire page or what spiral circles can mean;
  • invent life stories for people you accidentally see - whether they are just passers-by on the street or strangers from glossy magazines;
  • create chains of associations - for example, what words can correspond to the word "rest" or what the word "delicious" means;
  • solve logical puzzles together - remember, in childhood, we all tried to transport a wolf, a goat and cabbage to the shore in one boat?

There are many ways to develop abstract thinking. It is enough to deal with a child for only half an hour a day, and after some time he will amaze you with the logicalness of judgments and the ability to draw conclusions.

What is abstraction, abstract thinking

Thinking is one of the most interesting and at the same time complex cognitive processes of our psyche. It is thinking that allows us to learn, explore the world around us, compare, draw conclusions, build judgments and come to conclusions, and, of course, create, create something fundamentally new based on past experience.

Each of us is endowed with this ability, which allows us to successfully interact with each other. It must be understood that our thinking has a certain classification and peculiar stages of development. The highest form of development of thinking is abstract-logical.

This type of thinking is based on the concepts of "abstraction", "abstract"; and it is the meaning of the word "abstraction" or "abstract" that makes it possible to better understand the nature of this type of thinking. So, abstraction is a concentration of attention on important, essential aspects of an object or phenomenon. As a result of abstraction, abstraction arises, i.e. some generalization that results from this abstraction.

Forms

It is necessary to consider not only general provisions, but also abstract thinking and its forms. After all, it manifests itself in quite a variety of ways.

So, psychologists distinguish the following forms of abstract thinking:

1. Concepts are the simplest and most basic form of mental activity, since other, more complex ones are based on it. This form combines many phenomena or objects with similar features into one concept. For example, the concept of "chair" is furniture that is used for sitting, it has a seating surface, a back, often legs (one or four), designed for one person.

2. Judgment is a more complex form, which does not consist of one concept, but of several, and with the help of judgment we are able to state the fact of something, and we can also describe objects and phenomena or their relationship. Distinguish between simple and complex sentences:

  • Simple is a short phrase, such as "It's raining" or "The plane is flying."
  • Complex is a chain of short phrases that gives a more detailed understanding of what is happening, for example, "It's cold outside, it's snowing and the wind is blowing."

3. Inference - the most complex form, which is the union of several judgments, on the basis of which we can draw a conclusion, and therefore create a new judgment. For example: “It’s cold outside and the wind is blowing, so you need to dress warmly.” It is a mental process that allows the development of theoretical knowledge.

Our life consists of constantly operating with both concepts and judgments that lead us to new conclusions. Each of us goes from visual-figurative thinking to an abstract and logical kind of thinking.

There are also the main features of the abstract type of thinking:

  • The ability to operate with abstract concepts (happiness, law, life, truth).
  • Ability to summarize and analyze information.
  • The ability to create a system based on the information received.
  • Revealing the patterns of the world around you without actually interacting with it (for example, to understand that it is cold outside by looking at the weather forecast on the Internet).
  • Ability to establish causal relationships.

Development

The main question that interests almost everyone is the development of abstract thinking, how it happens and whether it can be influenced. So, according to experts, this type of mental activity develops at primary school age, starting from the age of 7, so it can be developed already in the first grades.

Contributes to its development, of course, the game, it is through the game that the child is able to learn the basic concepts, learn to operate with them, and also build conclusions based on judgments. It is also important to involve the child in solving various problems, especially logical ones or those where there are abstract concepts, such as "perimeter" or "area".

Creative activity also helps develop the ability to think abstractly. These can be drawing, modeling, reading poetry or prose, designing, and so on - the choice of the type of creativity should directly depend on the child's abilities.

If we talk about the development of an abstract and logical type of thinking in adults, then they are also recommended to engage in creativity, delve into the understanding of what art is, turn to philosophical concepts and categories. It’s good to give yourself the opportunity to solve puzzles from time to time, to try a non-standard approach to solving everyday problems.

All this allows you to take a fresh look at the world around, and, consequently, expand the functions and possibilities of your thinking. You need to remember and understand that the ability to think abstractly in different people is not equally developed, so you should not compare your results with someone else's - it's better to follow how you were able to develop abstract thinking in yourself and how it changes.

And the most important advice

As the dispute began about different abilities, for mathematics, logic, analysis and other complex things, one of the most difficult terms in our conversation came across - abstract thinking. They don’t compare it with anything, they don’t explain it with anything, they don’t apply it to anything. And with what just do not confuse.

Do you know and understand what abstract thinking is? Why is it so many confused with logic, memory and other interesting things? I somehow understand intellectually what it is, but I also have difficulties with wording. Wiki tells us: "Abstract thinking is one of the types of human thinking, which consists in the formation of abstract concepts and operating with them." So how is it? Did this wording make it easier? :-)

And further: "Abstract concepts ("number", "matter", "value", etc.) arise in the process of thinking as a generalization of the data of sensory cognition of specific objects and phenomena of objective reality."
Well, yes, it's better.

A friend of mine once answered this question with a simple example: "A child who does not have abstract thinking understands 'ten' but does not understand 'ten apples'."
This in itself is understandable, but I don’t really fit in with what is written above (copied from Wiktionary).

Just on the way to the school of vision, I was reading a livejournal discussion about who thinks well about what. So I decided to ask a neurologist. He sits there, in this school, and likes to answer tricky questions. I thought he was a great candidate for this question because he uses the term himself a lot. The neurologist said that we need abstract thinking in order to deal with phenomena about which we do not receive enough information to "disassemble" them with the mind. Everything that is unsteady, vague and incomprehensible for us is packed into some acceptable images by abstract thinking. And it also comes into force when we try to express our feelings and emotions. This is also a very flimsy and vague part of reality, which is difficult to understand, systematize, describe, discuss. And want. This is where our ability to think abstractly selects images and descriptions of what cannot be expressed and said in words.

This is perhaps the description I liked the most that I have heard and read so far. But the question remained with mathematics, logic and analysis. Is it true that abstract thinking helps to understand mathematics? And if so, why?

My neurologist said that - no, understanding - does not help. It helps to understand the presentation of information (clear, simple, straightforward), and the right amount of information. If a person does not understand something in an example, then he does not have enough information, knowledge to help solve this example. If he knows everything necessary to solve the problem, he comes with his knowledge and solves it.

But where abstract thinking helps is to deal with emotional dead ends. Because each person has such a phase when he already has knowledge, but he has not yet figured out how to apply it. It is a lack of experience, a lack of determination, a lack of skill in combining and applying everything to everything. And in order not to fall into a stupor at the first failure, to relax, take a breath, and think about what is wrong here, what can be done about it - the ability to sort out one's feelings helps. Understand and realize your emotional state, influence it, relax, accept the situation. Start thinking about it - partly breaking away from the exact example and the desire to immediately get the correct figure.

By the way, the habit of drawing in the mind what you don’t actually see or hear is also considered the fruit of abstract thinking. And this is very useful.
Now doctors attach great importance to this ability. I have already written about how I have been passing vision tests lately. First, vision is measured by objective methods. Diopters and so on can be measured with a machine, and everything that I see is crooked, oblique and uneven is the result of physical distortions and changes. Having made a scan of the retina, everything that is refracted in the eye can be projected through it, and the doctor will see the world through my eyes, in all its curvature. At the same time, when I have to read the letters, sitting in the required number of meters from the table, I guess much more than I should. And something in my head made me see the curved lines become straighter over time. And - most importantly - it counts! Everything twisted by any god knows what methods, including what you see with your ears, nose, intuition and some kind of sixth sense - is considered! I recognized what I saw - it means I recognized it!
They even have a favorite phrase there, which they repeat all the time: "Bestanden ist bestanden" - ("Who passed the exam, he passed"). Type - "no matter how".
:-)

Or maybe in the sciences somehow it is possible? Something not to understand with the mind, but to feel some other place? :-)


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