The concept of thought representing. Concept in formal logic. Concept in the history of philosophy


A concept is the result of a generalization of a set of homogeneous objects according to their common essential features. For example, the concept of “building” was formed as a result of abstraction from individual characteristics individual buildings, which is achieved using logical techniques: comparison, analysis, synthesis, abstraction and generalization.

The concept is inextricably linked with the linguistic unit - the word. Concepts are expressed and consolidated in words and phrases called names. Simple names: “building”, “table”, complex names: “unknown area”, “ a famous person", etc. are material, linguistic basis, corresponding concepts, without which it is impossible to form concepts or operate with them.

However, the unity of language and thinking, words and concepts does not mean their identity. For example, in any language there are synonymous words and homonym words. Synonyms are words that are close or identical in meaning, expressing the same thing, but differing in shades of meaning or stylistic coloring (“labor” and “work”). Homonyms are words that sound the same, are the same in form, but express various concepts(for example: fist - hand and fist - rich peasant). Many words have multiple meanings. The polysemy of words (polysemy) often leads to confusion of concepts, and, consequently, to errors in reasoning. Therefore, it is necessary to establish the exact meaning of words in order to use them in a strictly defined sense.

Concept– this is the result of generalizing a set of homogeneous objects according to their essential characteristics. Essential features are stable, necessary features, without which a given object cannot exist in its qualitative certainty. The main logical methods of concept formation are: comparison, analysis, synthesis, abstraction and generalization.

Any concept can be characterized in terms of its content and scope. Scope of concept- this is a set of objects that are thought of in a given concept. For example, the concept “student” includes all students who were, are and will be. Contents of the concept- this is a set of essential features of an object that are thought of in a given concept. For example, the content of the concept “student” includes the property of being a student of a higher educational institution. The content of the concept “square” includes the following characteristics: “to be a quadrilateral”, to have “equal sides” and “equal angles”.

Content and volume are related to each other on the basis of the formal-logical principle of the inverse relationship: the greater the content of a concept, the smaller its volume, and vice versa. For example, if we add the attribute “fiction” to the content of the concept “literature,” we will reduce the scope of this concept, since we will exclude scientific and popular science literature from it, but we will increase its content with the additional attribute “fiction.”

Transition from concept to a greater extent commonality to the concept to a lesser extent community is called limitation. With this operation, the content increases, but the volume decreases. For example, “law – criminal law”. The transition from a concept of a lesser degree of generality to a concept of a greater degree of generality is called generalization, that is, we increase the volume, but reduce the content. For example, “civil law is law.”

Logic also operates with the concepts of “class” (“set”), “subclass” (“subset”) and “class element”.

By class, or by many called a certain set objects that have some common characteristics. Such, for example, is the class of students, higher educational institutions, etc. Based on the study of a certain class of objects, the concept of this class is formed. A set can be reflected not in one, but in several concepts. For example, many athletes and many students can be combined into one set: students and athletes. This set is reflected in two concepts.

A class may include a subclass. For example, the class of students includes a subclass of law students.

Classes consist of a set of this class. Class element - this is an item included in this class. Thus, elements of many educational institutions will be schools, institutes, technical schools, etc.

Types of concepts

By volume concepts are divided into general, single and empty. Empty concepts do not designate any object. Examples of an empty concept are "centaur", "the time of year between December and January". Single concepts designate only one object: for example, “planet Earth”. Are common concepts denote more than one object, such as, for example, the concepts “student”, “teacher”, “person”, “table”. General concepts include registering and non-registration. Registering concepts have a finite volume of objects included in a given concept. Non-registering have no finite volume. General and individual concepts are collective and non-collective (dividing) Collective- those in which homogeneous objects are thought of as one whole. For example, “collective” is a collective general concept, “the constellation Ursa Minor” is a collective individual concept. Non-collective (separation) concepts refer to each object that is thought of in a given concept: “hand”, “light bulb”, “bird”. Thus, if the statement refers to each element of the class, then such a use of the concept will be disjunctive; if the statement refers to all elements taken in unity, and is not applicable to each object separately, then the use of the concept will be collective. For example: “students of our institute study logic,” we use the concept “students of our institute” in a divisive sense, since This statement applies to every student. In the statement “students of our institute held a theoretical conference,” here the concept “students of our institute” is used in collective sense. The word “everyone” is not applicable to this judgment.

By content concepts are divided into concrete and abstract. Specific concepts denote a separate object, thing or person. For example, “house”, “tree”, “building”. Abstract concepts denote a property or relationship between objects. Examples of abstract concepts are “justice”, “truth”, “good”. Contrasting abstract concepts with concrete ones is necessary to prevent one of the fairly common errors called the “hypostatization error,” that is, finding in real world thing that corresponds to an abstract concept. The difference between concrete and abstract concepts is based on the difference between an object, which is thought of as a whole, and a property of an object, abstracted from the object itself and not existing separately from the object. Abstract concepts are formed as a result of distraction, abstraction of a certain feature of an object from the object itself; these signs are thought of as independent objects of thought. Thus, the concept of “courage” reflects a trait that does not exist on its own, in isolation from the persons possessing this trait. This is an abstract concept.

Relative concepts that presuppose the existence of another object are called: “north pole - south pole”, “father - son”. IN irrelevant Concepts conceive of objects that exist on their own, regardless of other objects: “house”, “city”, “village”. Positive concepts speak of the presence of some attribute of an object. Negative– about the absence of this sign. For example, positive concepts are the concepts “ wonderful person”, “sublime feeling”, and negative - “injustice”, “slowness”. Negative concepts in Russian are most often expressed by the particles “ne”, “bes”, “bez”, but not always. For example, the concepts “slob” and “bad weather” are positive. IN foreign words, mainly Greek origin, negative concepts are expressed by the negative prefix “a” “immoral”, “asymmetry”, etc.

One should not confuse concrete concepts with individual ones, and abstract ones with general ones. General concepts can be both concrete and abstract (“crime” - general, concrete; “crime” - general, abstract).

To determine what type a concept belongs to means to give it a logical characterization. Thus, giving a logical characterization of the concept “house”, it is necessary to indicate that this concept is general, specific, positive, and irrespective.

The logical characterization of concepts helps to clarify their content and scope, and to develop a more precise use of the words that express them.

Relationships between concepts

Concepts are in certain relationships with each other. The relationships between the volumes of concepts are depicted on Euler circles. First of all, concepts are divided into comparable and non-comparable. Comparable concepts have common characteristics, which makes it possible to compare them. Incomparable do not have such characteristics, so their comparison does not make sense. An example of the latter is the concepts “deputy” and “stone”.

The compared concepts are compatible and incompatible. Compatible– these are those whose volumes completely or partially coincide. Incompatible– the volumes do not match. Compatible concepts are equivalent, intersecting, subordinate. Concepts where the volumes, but not the contents, completely coincide are called equivalent. For example, “grandson” and “great-grandson”, they do not coincide in content, but are equivalent in scope, since every grandson is a great-grandson, and every great-grandson is a grandson. Equivalence is depicted by one circle:

1. Grandson 2. Great-grandson

Intersecting concepts are concepts whose scopes overlap. For example: “student” and “musician”, since some students are musicians, and some musicians are students. On circles, this type of relationship is depicted in the form of two intersecting circles (if two concepts are related), where the intersecting part symbolizes the coincidence of volume.

1. Student. 2. Musician.


In a relationship submission there are concepts, the scope of one of which is included in the scope of the other. A concept with a larger volume is called subordinating. The concept with a smaller volume is subordinate. For example, the concepts of “man” and “father”. “Man” is a subordinate concept, and “father” is a subordinate concept. Because all fathers are men, but not all men are fathers. On circles this is depicted as two circles, one of which is included in the other circle.

1. Man. 2. Father.


There are three types of incompatible concepts. Subordination- this is the relationship between the volumes of two or more concepts that exclude each other, but belong to some generic concept. For example, “law”, “civil law”, “criminal law”. On circles they are depicted as separate non-overlapping circles within one, larger circle, which represents the generic concept.

1. Right 2. Civil law 3. Criminal law


Opposite concepts: volumes exclude each other, without adding up to the entire volume of the generic concept. Opposite concepts are the concepts of “love” and “hate”, “beautiful” and “ugly”.

1. Hate 2. Love


Contradictory concepts - volumes exclude each other, and together they constitute the volume of the generic concept. For example, the concepts of “love” and “dislike”. These concepts exhaust the scope of the generic concept – feeling.

1. Love 2. Dislike


Circular diagrams can be used to simultaneously represent the three-dimensional relationships of many concepts. For example, the concepts “woman”, “woman with children”, “woman without children”, “mother” are depicted by one circle denoting the concept “woman”, one part of the circle constitutes the concept “woman without children”, the other part circle means two equivalent concepts “a woman with children” and “mother”.

1. Woman 2. Woman with children

3. Woman without children 4. Mother


Definition of concepts

A definition, or definition, is a logical operation that reveals the content of a concept.

Types of definition. There are nominal and real definitions.

Nominal is a definition through which, instead of describing an object, one introduces new term, explains the meaning of the term, its origin, etc. For example: “The field of science related to space flights is called astronautics”; “The term “legal” means relating to jurisprudence, legal.” Real is a definition that reveals the essential features of an object. For example: “Evidence is proof of the guilt of the accused in committing a crime.”

There are also explicit and implicit definitions. To the obvious include definitions containing a direct indication of the essential features inherent in the subject. They consist of two clearly expressed concepts: defined and defining. Implicit are definitions in which the content of the defined concept is revealed in a certain context.

The main type of explicit definition is definition through genus and specific difference.

Definition through genus and species difference. Genetic determination. The logical determination operation includes two successive steps.

The first stage is subsuming what is being defined under a broader generic concept. The generic concept contains part of the characteristics of the defined concept; in addition, it indicates the circle of objects that includes the defined object. For example, for the concept “logic” the generic concept will be “philosophical science”.

Usually they indicate the closest genus, which, compared to a more distant genus, contains more characteristics that are common to the characteristics of the concept being defined. By subsuming, for example, the concept of “taking a bribe” under the concept of a crime or “act,” we will complicate our task. Given this circumstance, this type of definition is sometimes called definition through the nearest genus and species difference.

But subsuming a defined concept under a generic one does not mean defining it. It is necessary to indicate a feature that distinguishes the object being defined from other objects belonging to the same genus. This operation is carried out in the second stage, which consists of specifying distinctive feature defined object. This feature will be a species difference. Species difference belongs only to a given species and distinguishes it from other species included in a given genus. So for logic, a species difference will be a sign indicating the subject of this science - the forms in which human thinking occurs and the laws to which it obeys. This feature reveals the essence of logic and distinguishes it from other sciences: political economy, theory of state, criminology, etc.

Thus, in order to define any concept, it is necessary, firstly, to find the genus, i.e., to perform a generalization operation, and, secondly, to indicate the specific difference, i.e., a feature that distinguishes this concept from other concepts included in this genus. Definition through the genus and specific concept is expressed by the formula A = Bc, where A is the concept being defined, Bc is the defining concept, c is the specific difference.

It must, however, be borne in mind that when indicating species differences it is not always possible to limit oneself to one characteristic. For example, in criminal law, a gang is characterized by a combination of three characteristics: 1) an association of two or more individuals, 2) the presence of weapons in at least one of them, 3) the cohesion of the group, the stability of the criminal ties of its members.

Determination through genus and specific difference is the most common type of definition, widely used in all sciences, including legal ones. Thus, in the theory of state and law the following definition of a republic is given: a republic is a form of government (kind) in which the highest government provided to an elected body elected for a certain term (specific difference). In civil proceedings, a decision is defined as a procedural document (genus) issued by the court of first instance when considering a civil case on the merits (specific distinction).

Genetic- is a definition that indicates the origin of an object, the method of its formation. For example: “A ball is a body formed by the rotation of a circle around one of its diameters.

Revealing the method of formation of an object, its origin, genetic origin plays an important cognitive role and is widely used in a number of sciences. Being a variety, defined through genus and specific difference, it has the same logical structure and is subject to the same rules.

Determination rules. The definition must be not only true in content, but also correct in its construction and form. If the truth of a definition is determined by the correspondence of the characteristics specified in it to the actual property of the defined object, then the correctness of the definition depends on its structure, which is regulated by a number of logical rules.

1. The definition must be proportionate.

The rule of proportionality requires that the volume of the defined concept be equal to the volume of the defining concept. In other words, these concepts must be in a relation of identity (A=Bc). For example, the definition “Recidivist is a person who committed a crime after being convicted of an earlier crime committed” is proportionate. If a “recidivist” is defined as a person who has committed a crime, then the rule of proportionality will be violated: the scope of the defining concept (“person who committed a crime”) is wider than the scope of the defined concept (“recidivist”).

This violation of the rule of proportionality is called mistake of too broad a definition(A

An error will occur if the defining concept turns out to be an already defined concept in its scope. Such an error will be made if, for example, the victim is defined as a person who has been physically harmed by a crime. In this example, the defining concept does not cover the characteristics of a victim who may suffer not only physical, but also moral and property harm. This error is called error of too narrow a definition(A>Bc).

2. The definition should not include a circle.

If, when defining a concept, we resort to another concept, which, in turn, is defined using the first, then such a definition contains a circle. For example, rotation is defined as movement around an axis, and an axis is defined as a straight line around which rotation occurs.

A type of circle in the definition is tautologistsI- an erroneous definition in which the defining concept determines the defined. For example, an idealist is a person with idealistic beliefs. Such erroneous definitions are called “the same through the same.”

Such concepts do not reveal the content of the concept. If we do not know what an idealist is, then indicating that a person has idealistic beliefs will not add anything to our knowledge.

A tautology differs from a circle in its definition by being less complex in its construction. The defining concept is a simple repetition of the defined.

3. The definition must be clear.

The definition must indicate known characteristics that do not require definition and do not contain ambiguity. If a concept is defined through another concept, the characteristics of which are unknown, and it itself needs definition, then this leads to an error called defining the unknown through the unknown or definition X through at. For example, Hegel defines the state as follows. “The state is the political manifestation of the world spirit.” However, the definition of the state with the help of the mystical concept of “world spirit”, which corresponds to the empty class, cannot be clear.

The rule of clarity of definition requires that definitions not be replaced by metaphors, comparisons, etc., which, although they are important for characterizing the subject, are not definitions.

4. The definition does not have to be negative.

The specific difference should indicate a characteristic that belongs to the object, and not one that is absent from it. True, this rule has exceptions. There are definitions, the specific difference of which is a negative attribute: an atheist is a person who does not recognize the existence of God; disobedience is a military crime consisting of deliberate failure to comply with the order of a superior. Negative concepts are widely used in mathematics. This means that this requirement is not a strict logical rule that is mandatory when defining any concept.

Implicit definitions. Techniques that replace definition.

Using definitions through genus and species difference, most concepts can be defined. However, for some concepts this technique is not suitable. It is impossible to define extremely broad concepts (categories) through genus and specific difference, since they do not have a genus, and individual concepts, since they do not have specific difference. In these cases, they resort to implicit definitions, as well as to techniques that replace the definition.

Implicit definitions include definition through an indication of the relationship of an object to its opposite. This technique is widely used in defining philosophical categories. For example, “Freedom is a recognized necessity,” etc.

Techniques that replace definition include; description, characterization, comparison, discrimination, ostensive definition.

Task descriptions consists in more accurately and completely indicating the characteristics of an object, and, as a rule, external characteristics are listed.

Characteristic consists of indicating the distinctive, characteristic features single object (persons, objects, etc.)

A technique that replaces definition is also comparison, with the help of which one object is compared with another that is similar to it in some respect. This technique is used for figurative characteristics subject.

By using distinctions signs are established that distinguish one object from other objects similar to it. For example, when searching for stolen property, “special features” play an important role: a monogram or engraving on a watch, etc.

In some cases, ostensive definitions are widely used. Ostensive is a definition that establishes the meaning of a term by demonstrating the thing denoted by the term. These definitions are used to characterize objects accessible to direct perception.

The ostensive definition is also used to characterize the simplest properties of things: color, smell, etc.

A definition cannot provide comprehensive knowledge about a subject. Revealing the content of the concept, the definition indicates the general, essential features of the object reflected in it, abstracting from all its other features. However, revealing the main thing in a subject, a definition allows you to highlight a given subject, distinguish it from other subjects, and warns against confusion of concepts and confusion in reasoning. And this is the enormous value of definitions in knowledge and practical activity.

Division of concepts

By division is called a logical operation that reveals the scope of a concept, called division.

In the division operation it is necessary to distinguish divisible concept, i.e. the scope of the concept that needs to be revealed, division members, i.e. subordinate types into which the concept is divided (they represent the result of division), and base of division- the sign by which division is made. The essence of division is that objects included in the scope of the concept being divided are distributed into groups. The divisible concept is considered as a generic one, and its volume is divided into subordinate types. Thus, the concept of “literature” is a genus, and the members of the division “ scientific literature», « fiction", "popular science literature", etc.

The division of concepts should not be confused with the mental division of the whole into parts. Its division members are independent species, then when dismembered, the individual parts of the object from which it consists are highlighted.

But the parts of the whole are not species that are formed as a result of the operation of dividing the concept. If it were necessary to divide the concept of “aircraft,” it would be necessary to indicate the types of aircraft according to some characteristic, for example, by engine type.

The following types of division are distinguished: division by modification of a characteristic and dichotomous division, which is often considered as its subtype.

Division by modification of a characteristic. The basis of division is a feature, when changed, specific concepts are formed that are included in the scope of the thing being divided (generic concept). For example, a socio-economic formation, depending on the method of production, is divided into subordinate types: primitive communal, slaveholding, feudal, etc.; right in the form of its expression - to legal custom, legal precedent and normative act. Various features of the divisible concept can be used as a basis. States can be divided according to their historical type, by forms of government, by forms of government; the population of a country - according to its belonging to social classes, nationality, education, etc.

The choice of attribute depends on the purpose of division, on practical problems. At the same time, certain requirements must be imposed on the foundation, the most important of which is the objectivity of the foundation. For example, science should not be divided into easy and difficult, books into interesting and uninteresting. This division is subjective: the same sciences can be easy for some people and difficult for others.

Division rules. In the process of dividing a concept, it is necessary to follow a number of rules that ensure clarity and completeness of the division.

1. The division must be proportionate.

The task of division is to list all types of the concept being divided. Therefore, the volume of division terms must be equal in their sum to the volume of the concept being divided. This rule requires that no division terms be omitted. If, for example, when dividing socio-economic formations only slaveholding, feudal and capitalist formations are indicated, then the rule of division of proportionality will be violated, since the member of the division (primitive communal) is not indicated.

This division is called incomplete.

The rule of proportionality will also be violated if we indicate unnecessary division members, that is, concepts that are not species of a given genus. Such an error will occur if, for example, when dividing the concept of “punishment,” in addition to all types, a warning is indicated, which is not included in the list of penalties in criminal law, but is a type of administrative penalty.

This division is called division with extra members.

2. Division must be carried out using only one base.

Throughout the entire division, the feature we have chosen must remain the same and not be replaced by another feature.

3. Division terms must be mutually exclusive.

This rule follows from the previous one. When mixing bases, the division members - species concepts - will be in a relationship of partial coincidence. We get this result when dividing crimes into intentional, military and careless. If the division is made on one basis, then the members of the division will exclude each other, each object covered by the dividing concept will, as a result of the division, be included in only one of the subordinate species.

4. Division must be continuous.

This means that in the process of dividing a generic concept, you need to move on to the closest species without skipping them. For example, the concept of “literature” can be divided into fiction, scientific, popular science, etc. Each of these types can be divided, in turn, into subspecies. But one cannot move from division into species to division into subspecies. This division is devoid of sequence, it is called jump in division.

Dichotomous division (dichotomy). Represents the division of the volume of a divisible concept into two contradictory concepts. Dichotomous division is used in various sciences. For example, reflexes are divided into conditioned and unconditioned; wars - just and unjust.

A dichotomous division does not always end with the establishment of two contradictory concepts. Sometimes a negative concept is again divided into two concepts, which helps to isolate from a large circle of objects a group of objects that interests us in some respect. Compared to division by modification of a characteristic, dichotomous division has a number of advantages. In a dichotomy, there is no need to list all the species of the dividing genus: we single out one species, and then form a contradictory concept that includes all other species. The members of division are two contradictory concepts that exhaust the entire scope of the concept being divided. Therefore, division is always proportionate. The division is made on one basis - depending on the presence or absence of a certain attribute in the object. The members of a dichotomous division are always each other; any object can be thought of only in one of the contradictory concepts that cannot be intersecting.

Classification. This multi-stage, branched division represents the distribution of objects into groups (classes), where each class has its own permanent, specific place.

The purpose of classification is to systematize our knowledge, therefore regular division it is relatively stable in nature and remains more or less long time. In addition, the classification forms an expanded system, where each member of the division is again divided into new members, branching into new classes, usually fixed in tables, diagrams, etc.

Knowledge of this operation helps to correctly distribute objects into groups, study them, and, therefore, get to know the whole class as a whole. Knowledge of the types and rules of division is of great importance in the work of a lawyer, especially in investigative practice; planning, crime investigation, drawing up diagrams in the planning process, classification of investigative leads and a number of other investigative actions have as their main logical operation the division of concepts. There are natural classifications, made on the basis of an essential characteristic, and artificial (based on any non-essential characteristic). An example of natural classification is considered periodic table D. Mendeleev. An example of an artificial one is library catalogs.

Logics: Tutorial for law schools Demidov I.V.

§ 4. Types of concepts

§ 4. Types of concepts

Depending on the specific volume and content, all concepts are divided into certain types. Let us characterize the types of concepts by volume.

Single is called a concept in which one object is conceived. For example, “Russian lawyer Fedor Nikiforovich Plevako (1842-1908)”, “United Nations”, “capital Russian Federation" and others.

General is a concept in which many objects are thought of. General concepts can be registering and non-registering. Registering are general concepts in which the set of objects conceivable in them is amenable to accounting and registration. For example, “people’s deputy of Russia”, “veteran of the Great Patriotic War, living in Moscow" and others. It is known that the volume of the second concept is 188 thousand veterans.

Non-registering is a general concept that refers to an indefinite number of objects. For example, “person”, “prosecutor”, “crime” and others. Non-registering concepts have an infinite scope.

Zero(empty) are concepts whose volumes represent classes of really non-existent objects and whose existence is in principle impossible. For example, “criminal who has not committed a crime”, “civilian military lawyer”, “equilateral right triangle”, “brownie” and others. Concepts that reflect objects that do not really exist at the present time, but existed in the past or whose existence is possible in the future, should be distinguished from zero ones. For example, “Democritus”, “thermonuclear power plant”. Such concepts are not null.

Let's consider the types of concepts by content.

Specific- these are concepts in which an object or a set of objects is thought of as something independently existing. For example, “power”, “reform”, “international treaty”, “rule of law”, “lawyer” and others.

Abstract- these are concepts in which it is not the object that is thought of, but one of the attributes (property, relationship) of the object, taken separately from the object itself. For example, “whiteness”, “injustice”, “fairness”. In reality, there are white clothes, unjust actions, honest people. But whiteness, injustice, and honesty do not exist as separate, sensory things. Abstract concepts, in addition to individual properties of an object, also reflect the relationships between objects. For example, “inequality”, “similarity”, “identity”, “similarity” and others. Abstract concepts expressed in Russian do not have a plural form.

Relative- these are concepts in which objects are conceived, the existence of one of which presupposes the existence of the other. For example, “parents” - “children”, “student” - “teacher”, “boss” - “subordinate”, “plaintiff” - “defendant” and others.

Irrelevant- these are concepts in which objects are conceived that exist independently, regardless of another object. For example, “investment”, “rule”, “separatism” and others.

Positive- these are concepts whose content consists of properties inherent in the object. For example, “insight,” “literate person,” “living within one’s means,” “speaking English,” and others.

Negative concepts are called, the content of which indicates the absence of a subject certain properties. For example, “not living within one’s means”, “not speaking English”, “injustice” and others. In Russian, negative concepts are usually expressed by words with negative prefixes “ne” and “bez” (“bes”). For example, “illiterate”, “unbeliever”, “lawlessness”, “disorder”, and in words of foreign origin - most often with a negative prefix “a”. For example, “agnosticism”, “anonymous”, “immoral”.

If the particle “not” or “without” (“demon”) merges with the word and the word is not used without it, then the concepts expressed by such words are positive. For example, “bad weather”, “carelessness”, “hatred”, “slob”. In the Russian language there is no concept of “hatred”, “nastya”, etc. The particle “not” in the above examples does not perform the function of negation, and therefore the concepts “hatred”, “bad weather” and others are positive, since they express the presence of a certain quality in an object, maybe even bad, negative - sloppiness, carelessness, greed. Therefore, such a logical characteristic of a concept sometimes does not coincide, for example, with the moral assessment of an object or phenomenon reflected in the concept. For example, the concepts of “crime” and “war” in logic are qualified as positive, although in life they are considered as negative, undesirable phenomena.

Collective are concepts in which a group of homogeneous objects is thought of as a single whole. For example, “forest”, “constellation”, “collective” and others. The content of a collective concept cannot be attributed to each individual element included in the scope of this concept. Collective concepts can be general (“grove”, “choir”) and individual (“constellation Big Dipper", "NATO military bloc").

Non-collective - These are concepts whose content can be attributed to each object of a given class that is covered by the concept. For example, “tree”, “star”, “man” and others.

Determining which of these types a specific concept belongs to means giving it a logical characterization. Thus, the concept of “rocket” in terms of volume is general(more than one object is thought of in it: space rocket, combat, signal, guided, unguided, single- and multi-stage, etc.), non-registering(refers to an indefinite number of objects, since we cannot say exactly how many objects are thought of in a given concept); by content - specific(a collection of objects is thought of as something independently existing), positive(characterizes the inherent property of objects to move under the action of a reactive force that occurs when the mass of burning rocket fuel is rejected), irrelevant(objects are thought of as existing independently, regardless of other objects), non-collective(content this concept can be attributed to every object conceivable in the concept).

In a similar way, we approach the logical analysis of, for example, the concept of “absent-minded inattention,” which is general, non-registering, abstract, negative, irrelevant, non-collective.

If a concept has several meanings, then a logical characteristic is given to it in accordance with each meaning. Thus, the concept of “museum” has two meanings: a) a building and b) a collection of interesting objects.

In the first meaning, this concept is general, non-registering, specific, positive, irrespective, non-collective.

In the second meaning - general, non-registering, specific, positive, irrespective, collective.

Thus, the logical characterization of the proposed concepts helped to clarify their content and scope, which makes it possible to more accurately use these concepts in the reasoning process.

From the book Logic author Shadrin D A

11. Types of concepts In modern logic, it is customary to divide concepts into: clear and vague; single and general; collective and non-collective; concrete and abstract; positive and negative; non-relative and correlative. The clarity of reflection is much higher in

From the book Logic for Lawyers: Textbook. author Ivlev Yuri Vasilievich

From the book Logic: A textbook for law schools author Demidov I.V.

§ 4. Types of concepts Depending on the specific volume and content, all concepts are divided into certain types. Let us characterize the types of concepts by scope. A single concept is a concept in which one object is conceived. For example, “Russian lawyer Fedor Nikiforovich Plevako

From the book Logic and Argumentation: Textbook. manual for universities. author Ruzavin Georgy Ivanovich

From the book Critique of Pure Reason by Kant Immanuel

Analysts of Concepts Chapter One On the method of discovering all pure concepts of the understanding When one begins to use the cognitive ability, then in different cases different concepts arise that make it possible to cognize this ability; if they were observed

From the book Logic in Questions and Answers author Luchkov Nikolay Andreevich

Analysts of Concepts Chapter Two On the Deduction of Pure Intellectuals

From the book Logic: A Textbook for Students of Law Universities and Faculties author Ivanov Evgeniy Akimovich

Types of concepts Based on the volume and content, the following types of concepts are considered: 1) general, singular and zero; 2) concrete and abstract; 3) collective and non-collective; 4) registering and non-registering; 5) positive and negative; 6) irrespective and

From the book Logic for Lawyers: Textbook author Ivlev Yu. V.

Chapter II. Types of concepts So far we have been talking about concepts in general. But in the practice of thinking there is a great variety of well-defined, and, moreover, very diverse concepts. How to divide them into types? This can be done in accordance with two fundamental

From the book Logic: a textbook for law schools author Kirillov Vyacheslav Ivanovich

1. Types of concepts according to their content Objective differences between objects of thought are reflected in the differences between concepts, primarily according to their content. In accordance with this feature, concepts are divided into the following most significant groups: Concrete and abstract concepts.

From the book Logic. Tutorial author Gusev Dmitry Alekseevich

2. Types of concepts according to their scope Differences between objects of thought are also reflected in the differences between concepts according to their scope. But if the types of concepts according to their content characterize the qualitative differences of these objects, then the types of concepts according to their volume are quantitative

From the author's book

Chapter II. Types of concepts 1. Types of concepts according to their content Concrete and abstract concepts1. Determine which of the following concepts are concrete and which are abstract: “citizen”, “responsibility”, “equality”, “legitimacy”, “responsible person”, “guilt”,

From the author's book

1. Types of concepts according to their content Concrete and abstract concepts1. Determine which of the following concepts are concrete and which are abstract: “citizen”, “responsibility”, “equality”, “legality”, “responsible person”, “guilt”, “inviolability”

From the author's book

2. Types of concepts according to their scope Empty and non-empty concepts1. Indicate which concepts are empty and which are non-empty: “Universe”, “Martian”, “angel”, “homunculus”, “ichthyander”, “Santa Claus”, “loving mother-in-law”, “crime-free state” , "rights without

From the author's book

§ 4. TYPES OF CONCEPTS Concepts are divided into types according to: (1) quantitative characteristics of the scope of concepts; (2) the type of items being generalized; (3) the nature of the features on the basis of which objects are generalized and distinguished. For the most part this classification applies to simple concepts

From the author's book

§ 4. TYPES OF CONCEPTS Concepts (classes) are divided into empty and non-empty. They were discussed in the previous paragraph. Let us consider the types of non-empty concepts. By volume they are divided into: 1) single and general (the latter - into registering and non-registering); by type of generalized subjects - by 2)

From the author's book

1.2. Types of concepts All concepts are divided into several types in terms of volume and content. In terms of scope, they can be individual (the scope of the concept includes only one object, for example: the Sun, the city of Moscow, the first president of Russia, writer Leo Tolstoy), general (the scope of the concept includes many

On this basis, concepts are divided into:

    concrete and abstract;

    positive and negative;

    correlative and non-relative;

    collective and non-collective.

Specific concept– a concept reflecting the object or phenomenon itself, which has a relative independent existence (diamond, oak, lawyer).

Abstract concept- a concept in which a property of objects or a relationship between objects is conceived that does not exist independently, without these objects (hardness, durability, competence).

Positive concept– a concept that reflects the presence of some property or quality in the object of thought (“metal”, “living”, “action”, “order”).

Negative concept– a concept characterizing the absence of any quality or property in the object of thought. Such concepts in the language are denoted using negative particles (“not”), prefixes (“without-” and “bes-”), etc., for example, “non-metal”, “inanimate”, “inaction”, “disorder”.

The logical characterization of concepts as negative and positive should not be confused with the axiological assessment of the phenomena and objects they designate. For example, the concept “innocent” is logically negative, but reflects a positively assessed situation.

Correlate- a concept that inevitably presupposes the existence of another concept (“parents” - “children”, “teacher” - “student”).

Irrelevant concept- a concept in which an object is conceived that exists to a certain extent independently, separately from others: “nature”, “plant”, “animal”, “man”.

Collective concept- a concept that is correlated with a group of objects as a whole, but not correlated with an individual object from this group.

For example, the concept of “fleet” denotes a collection of vessels, but is not applicable to an individual vessel, a “collegium” consists of individuals, but one person is not a collegium.

Non-collective concept– refers not only to the group of objects as a whole, but also to each individual object of this group.

For example, a “tree” is the entire collection of trees in general, and birch, pine, oak in particular, and this particular tree individually.

The distinction between collective and non-collective (distinctive) concepts is important when drawing conclusions.

For example:

The conclusion is correct because the concept “law students” is used in a divisive sense: every student at the faculty studies logic.

The conclusion is incorrect because in this case the concept of “law students” is used in a collective sense, and what is true in relation to the entire population of students as a whole may not be true in relation to individual ones.

2.2. Types of concepts according to their scope

If the types of concepts by their content characterize the qualitative differences of objects, then the division of concepts by volume characterizes their quantitative differences.

Empty and non-empty concepts. They are characterized depending on whether they relate to non-existent or really existing objects of thought.

Empty concepts – concepts with zero volume, i.e. representing the empty class “ideal gas”.

Empty concepts include concepts that denote really non-existent objects - both fantastic, fairy-tale images (“centaur”, “mermaid”), and some scientific concepts that denote or hypothetically assumed objects, whose existence can later be refuted (“caloric”, “magnetic fluid”, “perpetual motion machine”), either confirmed, or idealized objects playing an auxiliary role in the sciences (“ideal gas”, “pure matter”, “absolutely black body”, “ideal state”).

Non-empty concepts have a volume that includes at least one real object.

The division of concepts into empty and non-empty is to some extent relative, since the boundary between the existing and the non-existent is mobile. For example, before the appearance of the first real spaceship, the concept of “spaceship”, which necessarily appeared at the stage creative process man, was logically empty.

Single and general concepts.

Single concept - a concept whose scope is only one object of thought (a single object, or a set of objects, conceived as a single whole).

For example, “Sun”, “Earth”, “Faceted Chamber of the Moscow Kremlin” are single objects; “solar system”, “humanity” are individual concepts used in a collective sense.

General concept - a concept whose scope is a group of objects, moreover, such a concept is applicable to each element of this group, i.e. used in a disjunctive sense.

For example: “star”, “planet”, “state”, etc.

E.A. Ivanov 1 notes that the formal-logical division of concepts into types is necessary, but has significant drawbacks:

    the convention of dividing concepts into concrete and abstract; every concept is real at the same time both concrete (has a completely definite content) and abstract (as a result of abstraction);

Therefore E.A. Ivanov proposes to proceed from the division of objects of thought into things, their properties, as well as connections and relationships, accepted in dialectical-materialist philosophy. Then we can distinguish the following types of concepts according to their content:

    substantial concepts (from the Latin substantia - the fundamental principle, the deepest essence of things), or the concepts of the objects themselves in the narrow, proper sense of the word (“man”);

    attributive concepts (from the Latin atributium - added), or concepts of properties (“reasonableness” of a person);

    relational concepts (from Latin relativus - relative) (“equality” of people).

The formal-logical division of concepts into concrete and abstract does not make it possible to understand why concepts are less abstract and more abstract, less concrete and more concrete, how the abstract and the concrete are related to each other in the same concept. The answer to these questions is given by dialectical logic.

    CONCEPT, -I, Wed

    1. Philosophy A form of thinking that reflects the general and essential properties, connections and relationships of objects and phenomena. Concept (cognition) in being (in immediate phenomena) reveals the essence --- - this is really general progress all human knowledge (all science) in general. Lenin, Hegel's Plan of Dialectics (Logic).

    2. Log. Thought about objects and phenomena of reality, reflecting their general and essential features, connections and relationships. Concept of value. The concept of the subject. The concept of a triangle.The Yakuts do not have the word fruit, because the concept does not exist. Not a single fruit would be born under this sky, not even a wild apple: there was nothing to be called by that name. I. Goncharov, Frigate “Pallada”. --- general Marxist concept: “bourgeois revolution” contains certain provisions that are necessarily applicable to any peasant revolution in a country of developing capitalism ---. Lenin, Agrarian program of social democracy in the first Russian revolution of 1905-1907. All natural phenomena are dressed up by the work of our mind in words, framed in concepts. M. Gorky, On literary technique.

    3. An idea about something, awareness of something. I had a special passion for theatrical works and from the stories I formed some idea about their stage performance. S. Aksakov, Memoirs. The young doctor behaved like a man who knew something very important that others had no idea about. Pavlenko, Happiness. || usually plural h. (concepts, -th). Level of understanding of something; a set of views on smth. Apply to listener concepts.He is a very kind person, but with rather strange concepts and habits. Turgenev, Two landowners. The concepts and prejudices of the world from which I came were still fresh in me. L. Tolstoy, Cossacks. || Razg. An opinion about someone, something, an assessment of someone, something. Although, according to the story of the staff captain, 291 I formed a not very favorable idea about him [Pechorin], but some traits in his character seemed remarkable to me. Lermontov, Maxim Maksimych. The audience of the Alexandrinsky Theater does not have a very high understanding of Gogol’s dramatic talent - and this is mainly due to the harsh expressions with which Gogol’s comedies are filled. Belinsky, Alexandrinsky Theater. || Simple The ability to figure something out. She was a small girl, without any idea, didn’t know the road and ran wherever her eyes looked. Chekhov, Incident.

Source (printed version): Dictionary of the Russian language: In 4 volumes / RAS, Institute of Linguistics. research; Ed. A. P. Evgenieva. - 4th ed., erased. - M.: Rus. language; Polygraph resources, 1999; (electronic version):

1. Concept as a form of thinking. Content and scope of the concept.

2.Types of concepts.

3. Relationships between concepts.

4. Limitation and generalization of concepts.

5. Definition of concepts.

6. Division of concepts. Classification and its types.

A-priory, a concept is a form of thinking that reflects objects in their essential characteristics. When studying this topic, we necessarily turn to general philosophical problems: what is a sign? what signs are essential? Which ones are unimportant? What signs are called single? which ones are common?

Linguistic forms of expressing concepts are words and phrases. For example, “book”, “man who laughs”, “first-class athlete”.

The main methods of concept formation are: analysis– mental dissection of objects into their component parts, properties, characteristics, synthesis– mental connection into a single whole of parts of an object or its characteristics; comparison– install

identification of similarities or differences between the objects under consideration; abstraction- mental distraction from some signs and highlighting others; generalization- a technique by which individual objects, based on their inherent similarities,

characteristics are combined into groups of homogeneous objects.

Every concept has volume and content. Scope of conceptthis is a set (class) of objects conceivable in it, and content is a set of essential features on the basis of which this class is formed. The scope and content of the concept are closely related. Clearly defined content leads to a clear idea of ​​scope. Conversely, unclear content leads to uncertain scope. This connection is expressed in the law of the inverse relationship between volume and content: an increase in the content of a concept leads to the formation of a concept with a smaller volume, and vice versa. For example, the scope of the concept “student” includes all objects that have the attribute “to be a university student.” Having added the attribute “excellent student” to the content of the concept, we see that the scope of the concept has been significantly reduced.

Types of concepts are distinguished on two grounds: content and volume.

By volume (quantity) there are:

1)single concepts, the scope of which includes only one object (the first president of Russia, the United Nations); 2) general concepts, the scope of which includes more than one object (school, state, lake); 3) zero (empty) concepts, the scope of which does not include a single really existing object (Baba Yaga, centaur, goblin). Zero concepts include not only fantastic creations of human consciousness, but also scientifically significant ones, such as “ideal gas”, “absolutely solid, “incompressible fluid”, etc.

General concepts can be registering, the volume of which is finite, the set of objects included in it can, in principle, be taken into account (planet solar system, science, student of St. Petersburg Technical Institute) and non-registering, the volume of which is infinite (atom, creature, grain of sand)


1)specific concepts, in which an independently existing object (a person, a building, a pencil) is conceived and abstract, in which it is not the whole object that is thought of, but one of the attributes of the object, taken separately from the object itself (whiteness, injustice, honesty);

2)positive concepts, in which the present in the object is thought of

sign (greed, a lagging student, a literate person) and negative, in which the absence of a sign is imagined in an object (an illiterate person, an ugly

act).

3)correlative concepts, in which objects are conceived, the existence of one of which presupposes the existence of another (parents - children, boss - subordinate, student - teacher) and irrelevant, in which objects are thought,

existing independently, regardless of another object (house, book, country);

4)collective concepts, in which a group of homogeneous objects is thought of as a single whole (flock, constellation, student group) and non-collective, the content of which can be attributed to each subject of a given class (river, notebook, institute); collective concepts can be general (grove, regiment, herd) and individual (the constellation Ursa Major).

Concepts whose content includes some general characteristics are called comparable(student and man, black and red, birch and plant). Incomparable concepts do not have common characteristics (music and brick, carelessness and home). Comparables are divided into compatible, the volumes of which partially or completely coincide, and incompatible, the volumes of which do not coincide in any element.

Compatibility Types: equivolume (identity), intersection and subordination. In relation to identity, there are concepts whose volumes completely coincide with each other (the Volga River and the most long river Europe, square and rectangular rhombus). Concepts whose scopes partially coincide are in a relationship of intersection (student and athlete, schoolchild and philatelist). In relation to subordination there are concepts, the scope of one of which is completely included in the scope of the other, but does not exhaust it (cat and mammal, MSU student and student).

Types of incompatibility: subordination, opposition and contradiction.

In relation to subordination there are concepts that exclude each other, but belong to some more general generic concept (spruce, birch, linden belong to the scope of the concept tree). In relation to opposition there are two concepts belonging to the same genus, one of which contains some

signs, and the other not only denies these signs, but also replaces them with other, exclusive signs (bravery - cowardice, white - black). Words expressing opposite concepts are antonyms. Regarding the contradiction, we find

There are two concepts that are species of the same genus, one of which indicates some characteristics, and the other denies these characteristics, without replacing them with any other characteristics (honest - dishonest, literate student - illiterate student). The relationships between the volumes of concepts are schematically depicted using circular diagrams.

CONCEPTS

Comparable Incomparable

compatible incompatible

identity intersection subordination subordination opposite contradiction

Operations on concepts are the most complex and important part of the doctrine of concepts.

Summarize the concept- means moving from a concept with a smaller volume. but with more content, to a concept with more volume, but less content (school - educational institution). Generalization cannot be unlimited. The limit of generalization is philosophical categories.

Limit concept- means to move from a concept with a larger volume to a concept with a smaller volume by increasing its content ( geometric figure– rectangle) The limit of the restriction is a single concept (lawyer – investigator – investigator of the prosecutor’s office – investigator of the prosecutor’s office of the Vyborg district of St. Petersburg I.P. Mikhalchenko)

A logical operation that reveals the content of a concept or establishes the meaning of a term is called definition. If the content of a concept is revealed, then the definition is called real, for example, “A barometer is a device for measuring atmospheric pressure.” If a term is defined, then the definition will be nominal, for example, “The word “philosophy” is translated from Greek as “love of wisdom.”

According to the method of identifying the content of concepts, definitions are divided into obvious And implicit. Explicit definitions are those in which the scopes of the defined and defining concepts are in relation to equality and equivalence. The most common explicit definition is definition through genus and species difference. The definition operation itself includes two stages: 1) subsuming the defined concept under a broader generic concept and 2) indicating the specific difference, that is, a feature that distinguishes the defined object from other objects included in the given genus. “A trapezoid is a quadrilateral in which two sides are parallel and the other two are not.” generic concept in this case is a “quadrangle”.

Explicit definitions include genetic definitions, which indicate the method of education and construction of a given subject. For example, “A cylinder is a geometric figure formed by rotating a rectangle relative to

one of the parties"

Explicit definition rules.

1) The definition must be proportionate, that is, the scope of the defined concept must be equal to the scope of the defining concept. If this rule is violated, errors occur:

a) too broad a definition, when the scope of the defining concept is greater

volume determined;

b) too narrow a definition, when the scope of the defining concept is less than the scope of the defined concept.

c) the definition is broad in one respect and narrow in another.

2) The definition should not contain a circle. A type of circle in the definition is a tautology.

3) the definition must be clear, precise, and must not contain any ambiguity. A mistake would be the substitution of definitions with metaphors, comparisons, etc. There is also such a mistake as defining the unknown through the unknown

4) the definition should not be negative.

Most concepts can be defined using definitions through genus and species difference. But what about definitions of categories? general concepts, since they have no gender? Single concepts cannot be defined in this way, since they do not have specific differences. In these cases, they resort to implicit definitions or techniques that replace definitions.

Implicit definitions include: contextual, ostensive, axiomatic, definition through relation to its opposite and some others. For example, the concept of “categorical” can be established in the context of “In my letters, I ask you only for a categorical, direct answer - yes or no.”

(A.P. Chekhov). Ostensive is a definition that establishes the meaning of a term by demonstrating the thing denoted by the term. You can take him to the table and say: “This is a table, and all the things that look like it.” Ostensive, like

contextual definitions are incomplete and inconclusive. The fundamental difference between axiomatic definitions is that the axiomatic context is strictly limited and fixed. Axioms are statements accepted without proof. “Force is equal to mass times acceleration” - this provision is not an explicit definition, but the connection of this concept with other concepts of mechanics is indicated here. Philosophical categories are often defined through their relationship to their opposite: “Reality is a realized possibility.”

In a number of cases, techniques are used that replace the definition: description, characterization, comparison, explanation through examples.

A logical operation that reveals the scope of a concept is called division. In the division operation, one should distinguish between the concept being divided - the volume of which should be

reveal, the members of the division are the subordinate types into which the concept is divided (the result of the division), and the basis of the division is the characteristic by which the division is made. The essence of division is that objects included in the scope of the concept being divided are distributed into groups.

There are two types of division: 1) by species-forming trait and 2) dichotomous division. In the first case, the basis for division is the characteristic by which species concepts are formed: “Depending on the form

The state structure of the state is divided into unitary and federal.” The choice of the basis for the division depends on the purpose of the division and on practical tasks. But in any case, only an objective sign should act as a basis. For example, books should not be divided into interesting and uninteresting. This division is subjective: the same book is interesting for one and uninteresting for another.

Dichotomous division- this is the division of the volume of the divisible concept into two contradictory concepts: “Everything modern states"cannot be divided into democratic and non-democratic." Here there is no need to list all the types of the divisible concept: we single out one type, and then form a contradictory concept, which includes all other types. But this type of division has disadvantages. Firstly, the scope of the negative concept turns out to be too broad and vague. Secondly

Of course, only the first two contradictory concepts are essentially strict and consistent, and then this strictness and certainty can be violated.

Editor's Choice
Light tasty salads with crab sticks and eggs can be prepared in a hurry. I like crab stick salads because...

Let's try to list the main dishes made from minced meat in the oven. There are many of them, suffice it to say that depending on what it is made of...

There is nothing tastier and simpler than salads with crab sticks. Whichever option you take, each perfectly combines the original, easy...

Let's try to list the main dishes made from minced meat in the oven. There are many of them, suffice it to say that depending on what it is made of...
Half a kilo of minced meat, evenly distributed on a baking sheet, bake at 180 degrees; 1 kilogram of minced meat - . How to bake minced meat...
Want to cook a great dinner? But don't have the energy or time to cook? I offer a step-by-step recipe with a photo of portioned potatoes with minced meat...
As my husband said, trying the resulting second dish, it’s a real and very correct army porridge. I even wondered where in...
A healthy dessert sounds boring, but oven-baked apples with cottage cheese are a delight! Good day to you, my dear guests! 5 rules...
Do potatoes make you fat? What makes potatoes high in calories and dangerous for your figure? Cooking method: frying, heating boiled potatoes...