- September 9, 2021
- Posted by: samdenis
Category theory takes the idea of mathematical analogy with the concept of radios much further. For two categories C and D, one can imagine a radio gate f from C to D as an analogy between C and D, since f objects of objects C must be assigned to objects of D and arrows of C of d so that the composite structure of the two categories is preserved. This resembles Dedre Gentner`s theory of the analogy of structural mapping, as it formalizes the idea of analogy as a function that meets certain conditions. Our discussion of the Munich Agreement raises questions of immediate historical importance and a number of unspoken, even if it involves comparisons with Hitler`s monstrous monstrous Malhonnande policy, and so they are still problematic. Nevertheless, the return to the theme of appetite is still legitimate, especially for us here in Israel and especially in our time. In such circumstances, one may attempt to determine the importance of this provision by resorting to legal provisions relating to cases similar to the present case or to other cases governed by vague/ambiguous provisions. A gap of this type is called gap intra legem (within the law) and the analogy related to it is called an analogy intra legem (within the law). Contemporary scientists of cognition use a broad notion of analogy, largely close to that of Plato and Aristotle, but framed by gentners` (1983) theory of structural mapping.  The same idea of mapping between source and purpose is used by conceptual metaphors and conceptual blending theorists. The theory of structural mapping concerns both psychology and computer science.
From this point of view, the analogy depends on the image or orientation of the source and target elements. The image is made not only between objects, but also between the relationships of objects and between the relationships between relationships. The whole mapping gives the assignment of a predicate or a ratio to the objective. The theory of structural mapping has been applied and has found considerable confirmation in psychology. He has had some successes in computer science and artificial intelligence (see below). Some studies have extended the approach to certain topics such as metaphor and resemblance.  An analogy can be expressed with and as in the representation of the analog relationship between two pairs of expressions, for example: “Smile is for the mouth, as it is a wink for the eye.” In the field of mathematics and logic, this can be formalized by two notation points to represent relationships, using a single cone for the ratio and a double point for equality.  On the contrary, Ibn Taymiyya, Francis Bacon, then John Stuart Mill, argued that the analogy was simply a special case of induction.  From their point of view, analogy is an inductive inferenciance of attributes common to another probable common attribute known only by the source of the analogy, in the following form: Eqaan Doug and his team questioned the theory of the common structure and especially its computer applications. . . .