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Logics. Types of analogy. Analogy of objects and analogy of relationships (most important)

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63. TYPES OF ANALOGY. ANALOGY OF OBJECTS AND ANALOGY OF RELATIONS

By the nature of the objects being compared There are two types of analogy:

1) analogy of objects and 2) analogy of relationships.

1. Analogy of objects - a conclusion in which the object of assimilation is two similar single objects, and the transferred sign - properties of these items.

If we denote two single objects or events with the symbols a and b, and P, Q, S, T are their signs, then the conclusion by analogy can be represented by the following scheme:

and are inherent in P, Q, S, T;

b inherent P, Q, S;

b is inherent in T.

An example of such an analogy is the explanation in the history of physics of the mechanism of light propagation. When physics faced the question of the nature of light motion, the Dutch physicist and mathematician of the XNUMXth century. Huygens, based on the similarity of light and sound in such properties as their rectilinear propagation, reflection, refraction and interference, likened light motion to sound and came to the conclusion that light also has a wave nature.

The logical basis for the transfer of attributes in analogies of this kind is the similarity of likened objects in a number of their properties.

2. Relationship analogy - a conclusion in which the object of assimilation is a similar relationship between two pairs of objects, and the transferred attribute - properties of these relations.

For example, two pairs of persons x and y, m and n are in the following relationships:

1) x is the father (relation R1) of y’s minor son;

2) m is the grandfather (R2 ratio) and the only relative of the minor grandson n;

3) it is known that in the case of parental relations (R1) the father is obliged to support his minor child. Taking into account a certain similarity between the relations R1 and R2, we can conclude that R2 is also characterized by the noted property, namely, the obligation of the grandfather to support the grandson in a certain situation. The conclusion by analogy of relations can be represented by the following scheme:

1) xR1y R1 are inherent in P, Q, S, T;

2) mR2y R2 inherent P, Q, S.

Apparently, R2 is inherent in T.

When turning to the analogy of relations, one should keep in mind the peculiarities of this conclusion and not confuse it with conclusions based on the analogy of objects. If in the latter two individual events or phenomena are likened, then in the first the objects themselves are not compared and may not even allow for likening. Assimilating the relation between x and y to the relation between m and n does not mean that x must be similar to m and y must be similar to n. It is important that the relationship between the first pair of objects (mR1n) be similar to the relationship between the objects of the second pair (mR2n). An incorrect understanding of conclusions based on the analogy of relations sometimes leads to a logical error, the essence of which is the unfounded identification not of relations (R1 and R2), but of the objects themselves: x is identified with m, and y with n.

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