Pages: 361-381
Published: 30.10.2023
Abstract: A cognitive model of the fairy tale about the fisherman and the goldfish has been developed, in which conceptual and quantitative manifestations of immeasurable feelings, emotions, actions of the fisherman, goldfish, old woman, and the sea are modeled. Their formulaic, phraseological, visualized on graphs description of the behavior of the corresponding curves has been implemented and justified. They are as expected. A system of 4 semantic equations with 13=8+4 semantic variables has been developed: meaning (y1), meaning (y2), meaning (y3), meaning(y4), meaning(z1),..., meaning(z8), satisfying matrix semantic equality of the form meaning(Zm8)= meaning(Ym4C(48), where meaning(Zm8)=meaning(z1)(…(meaning(z8), meaning(Ym4C(48)=meaning(Ym4c(1) (meaning(Ym4c(2)(meaning(Ym4c(3)(meaning(Ym4c(4). Matrix semantic equality corresponds to matrix equality with numerical z-, y-variables modeled as matrices: Zm8=Ym4CT84. Four semantic solutions-knowledge (new extracted knowledge) learn not only new meanings, but also paired connections, the forces of manifestations of 13 semantic variables. Visualization of the mutual dynamics of curves (variability values of z-, y-variables from matrices Zm8,Ym4) knowledge about “weights” (from C88) and z-, y-variabilities in a model with 8 z-variables, 4 y-variables showed the dynamics of the model values of unmeasured indicators of manifestations of feelings, emotions, actions of a fisherman, goldfish, old woman, sea. The variables introduced into the model are endowed with mathematical and statistical properties, and the parameters are constant. They are modeled in the Optimization Problem and depend on the numbers of variables and on the values of the indicators that form a mosaic within an 8-by-8 square. Both uncorrelated (y-) and correlated (z-) variability are multiplied by their “weights” - the strength of the factor manifestation. Interesting knowledge was gained after visualization. The model “justifies” its replacements of indicator values with both semantic (with semantic variables) and algebraic (with numerical variables) equalities. In the ending of the fairy tale, the goldfish (to a lesser extent than the sea) does not want (minus sign of strength c24=(-0.0295)) factor z2, to a lesser extent wants to promise the fisherman (with strength c34=0.1528, z3), but she does not promise (does not answer) to fulfill his desire”, “after returning home, the fisherman sees his wife’s result (with the strength (с44 = 0.9521, z4) of her “non-promises - the previous broken trough. These 4 z-factors are more informative (in plot of the fairy tale) than the old woman’s desire to have a new hut (c54 = 0.0418, z5), and for the goldfish the old woman’s former desire “to be a pillar noblewoman” is indifferent (the strength of the goldfish’s desire is 0: c64 = 0.0000, z6). The strengths of the manifestations of feelings, emotions, and actions of the goldfish at the end of the fairy tale clarify the meaning of factor y4 and its z-variabilities of 4 factors z2, z3, z4, z5.
Key words: multisense equation with known and unknown semantic variables, Cognitive Model of the tale of the fisherman and the goldfish.
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