DOI: 10.7256/2454-0757.2022.5.37810

Abstract: The paper hypothesizes the possibility of applying the mathematical construction of the Taylor series in the semantic space. Then symbolic forms, like some spiritual functions that display the immanent in semantic space and are explicated in the form of verbal constructions, can be tried to decompose into a Taylor series. The first terms of the Taylor series of thinking functions carry basic meanings that are conjectured by secondary forms, tertiary, etc., as in the case of the usual Taylor series, where the first term of the series is a constant, the second term is linear, determined by the first derivative of the function, the third is quadratic, otherwise acceleration. The paper shows that all of the above can be found in the paradigms of thinking called Foucault epistems. The world in ancient philosophy seemed unchangeable or cyclical, which refers us to the concept of a constant or the first term of the Taylor series of the function of thinking. With the advent of Christianity, the circle of time turned into a straight line, the concept of evolution appeared. This stage was completed by Galileo, who introduced the idea of speed into the paradigm of thinking, which completed the formation of the second, linear term of the Taylor series of the thinking function. The third term of the series appeared in Newton's theory and entered the next episteme with the idea of acceleration. Deductively, one can continue the decomposition of the thinking function into a Taylor series and imagine the appearance of a member of the series responsible for the third derivative.

DOI: 10.7256/2454-0757.2020.8.33569

Abstract: This work reasonably substitutes the literary and aesthetic understanding of metaphor as a poetic technique of expressiveness with the epistemological understanding of metaphor as an instrument for expanding the semantic possibilities of perception. Ontological dimension of a metaphor is reconstructed in accordance with the concept of “inertia” of nature. Nature repeatedly reproduces the previously acquired in some area of the phenomenal, while appearance of a human proliferated such reproduction to the area of the noumenal. Repetition of such reproductions of the acquired testifies to the fractality of being. Metaphor turns the linear evolution of semantics into a complex nonlinear process through topological transformations. It becomes most efficient in the cataphatic operation of “composition”. Unlike apophaticism, metaphor not only takes to a new level of cognition, but also arranges all these levels in accordance with the fractal nature of being. Therefore, metaphor is the primary means for transforming fractality into an epistemological tool in the area of the noumenal. If analytical reasoning fractionize the idea, by increasing the entropy of semantics, the metaphorical assertions reduce it, focusing the thought and synthesizing new semantic patterns. Such a focus fractalizes semantics, which should ultimately result in a semantic explosion and, most likely, bring a man closer to God.