What is semiotics? What is a Frege Triangle? The meaning, sign and meaning will be considered in the framework of the article. To understand the concept, it is not enough to read the definition of the term. You need to understand what the creator of the idea was doing.
Who owns the authorship?
The idea, known as the Frege triangle, belongs to the German mathematician, also involved in philosophy and logic. His name was Frederick Ludwig Gotlob Frege. This man lived and worked at the turn of the 19th and 20th centuries.
A scientist was born in the family of a school teacher. He received his education at the University of Jena, and defended his thesis in Göttingen. After her defense, he returned to Jena, where he soon received the post of assistant professor at one of the departments of the local university.
What is the significance of the work of this scientist?
The Frege triangle is far from the only idea of ​​the German logician and mathematician, which was important for the development of philosophical thought. However, they gained recognition mainly due to the development and popularization of their students and followers. One of them was Rudolf Carnal, who did a lot for the development of philosophy and ideas of logical positivism.
The main significance of Frege's writings is that in them the scientist revised a number of mathematical laws, approaching them from completely new positions. His work Begriffsschrift, which is translated from Russian as “calculus of concepts”, which saw the light in 1879, practically became the beginning of a new era in the history of the development of logic.
Also, it was this scientist who first defined such concepts as “meaning”, “meaning” and described the difference between them. This is exactly what is known in the modern world as the Frege semantic triangle.
What is it?
It is called differently - a concept, theory, idea, term. The Frege Triangle is a concept, a symbolic image, a definition, a direction, and even a scientific regularity at the same time.
This is a logical construction explaining the differences between the meaning and meaning of any concept. With the help of this "figure" you can consider any subject area. This formula is also applicable to art, sciences, the information field, languages ​​and other things.
The essence of the concept and its graphic display
The logic of the Frege triangle is in the mutual uninterrupted connection of the three main components, referred to as:
These three components are the vertices of the figure, and the lines connecting them express the mutual influence of one on the other.
What is meant by vertex names?
The Frege Triangle, whose semiotics is inextricably linked with its basic elements, is a universal formula of constant laws applicable to any field. Of course, depending on the scope of application, the essence of what is meant by the names of the vertices of the graphic symbolic mapping changes.
Value is a specific area, correlated with the name of the subject under consideration. The component itself is itself a sign or a name. The term "name" is often used in the analysis of the "Frege Triangle" of the activities of people in science, art or another field. It is also used to consider the so-called "animated phenomena."
Sense is any specific, specific, separately taken aspect in the field under consideration, directly related to the subject of analysis.
What is the scientific significance of this formula?
The Frege Logical Triangle is a revolutionary discovery that has not yet been fully appreciated and has unlimited potential.
The derivation of this regularity made it possible to combine mathematical laws, philosophy, and logical construction and make possible their practical application in any sphere of life.
In addition, this discovery formed the basis of many scientific works, the most famous of which are:
- incompleteness theorems by Kurt Friedrich Godel;
- Bertrand Arthur William Russell's theory of descriptions.
The incompleteness theorems develop the idea of ​​mathematical logic, and the work of Count Russell deals with philosophical questions.
What is semiotics?
This term is often used in a general context when it comes to the Frege triangle. Briefly, the concept of “semiotics” is difficult to imagine, since it is very voluminous and ambiguous.
As people say, in a nutshell, the term can be explained as follows. Semiotics is a generalized theory of the relationship of key elements in sign systems. It is with its help that the Frege triangle becomes a universal formula that can be applied to any area of ​​human life or another sphere.
What is the relationship between the main elements?
As a rule, the relationship between the vertices of the triangle or the main elements of this formula is as follows:
- the relation of the sign to the area under consideration, the designation of the scope of analysis;
- the influence of the same symbol on the concept of it, meaning.
That is, the basis of all the relationships is the sign or name. This vertex of the triangle is the starting point, the start for all other positions, conclusions, logical circuits, and more.
In other words, without the presence of a sign, the existence of the formula itself is impossible, this symbol is primary. However, the remaining peaks have their own influence on him.
This feature, illustrating the relationship of all three main components, can be considered by the example of people using pseudonyms. Let's say the name Mark Twain is taken as a sign in the formula. Of course, literature will act as a meaning, that is, an area that is associated or associated with the sign. Under the meaning will mean something related to the contribution of the writer to it, the value of his works. However, if the name Samuel Langhorn Clemens is taken as a sign, then associative perception with literary activity will not arise. Accordingly, the concepts of “meaning” and “meaning” will turn out to be different. Although Clemens and Twain are one person.
This feature is often called a “special case”. To eliminate errors in the application of Frege's formula caused by such accidents, semiotics is used.
What can be the relationship between the main elements?
Each of the three main, key elements or vertices in this triangle is at the same time both an independent concept that affects the other components, and can act as an intermediary between its neighbors.
This means that each of the main elements ensures the existence of not only himself, but also others. In other words, not a single phenomenon is considered without context, and it, in turn, affects the understanding of the cause that caused it.
An example of this can be a clear day - a natural phenomenon caused by the activity of the Sun. However, it would be unattainable on a single territory of the planet without the rotation of the Earth around its axis.
More clearly and simplified, these relationships between the key elements, the vertices of the triangle, look in everyday life. For example, trade. The correlation and mutual influence of such concepts as “demand”, “supply”, “opportunity” is obvious to everyone. And they, too, are subject to patterns verified by a German logistician, philosopher and mathematician.
Does the triangle reflect objective reality or not?
This issue has not been the subject of discussion in the scientific community for the first decade. Indeed, on the one hand, the Frege triangle is a mathematical formula based on the laws of simple, logical and quite objective. On the other hand, it has many variable aspects, nuances that affect the results and the content itself. And all the logical circuits that make up the relationship are not something that can be measured or touched. They are built in the mind, that is, it is the fruit of the brain, mental activity. Therefore, this formula has no relation to objective reality.
However, everything is not as straightforward as it seems at first glance. The thing, phenomenon, object, or something else considered, analyzed by the formula of the triangle, is invariably an objective reality that exists in reality. But man comprehends this reality. That is, it considers and analyzes an object through its own idea of ​​it, perception. This, in turn, is based on existing knowledge. Logical conclusions are built not only on the basis of information about the analyzed phenomenon, but also taking into account life experience, cultural values ​​and even mentality.
This means that in relation to the same phenomenon, for example, a thunderstorm, different people will draw different conclusions, having similar initial data. They will build various logical chains in consciousness. That is, an understanding of the essence of such a natural phenomenon as a thunderstorm will differ for a person living in the Stone Age, in biblical times and today.
This is the paradox of the Frege triangle. The practical application of this formula under various conditions invariably leads to special results. Moreover, they are always true for those conditions under which the formula was applied.
This is the main value, which is a pattern called the "Frege Triangle." It can be used in practice in any conditions, regardless of any social characteristics or the level of development of society.