Formalization of F. Nietzsche's ideas of "will to power" and "eternal return" through the concept of entropy

The subject of this research is the rational formalization of the fundamental ideas of F. Nietzsche's philosophy, "will to power" and "eternal return," through their correlation with the concept of entropy. The object of the study is F. Nietzsche's ideas, "will to power" and "eternal return," viewed as interdependent principles. The author examines such aspects of the topic as: the substantial nature of the concept of will to power; the substantial attributes of the will to power: the essence of the philosophical premise that predetermined the emergence of Nietzsche's philosophy as its antithesis; the empirical basis underlying the principle of eternal return. Particular attention is given to the issue of the structure of the principle of will to power as the unity of two elements - will and power, which are analyzed in detail using the concept of entropy introduced into the study. In revealing the elements of the principle of will to power, the method of structural analysis was applied. To identify the unity of the principles of will to power and eternal return, the method of systems analysis was used. The main conclusions of the study are as follows. The will to power, considered in the context of the concepts of substance and entropy, is objectified through two of its elements: self-affirmation (will) and return to oneself (power), which possess the certainty of empirical phenomena and are characterized as universal and necessary. The principle of eternal return is defined as the irreducible predominance of being over non-being. The author's final conclusion is that the fundamental ideas of Nietzsche's philosophy—the "will to power" and "eternal return"—can be theoretically formalized and revealed as rational philosophical concepts. The novelty of this study lies in the fact that Nietzsche's ideas of "will to power" and "eternal return" are formalized through the introduction of the rational category of entropy into the research.