ФОРМИРОВАНИЕ ИДЕИ МАТЕМАТИЧЕСКОЙ ФЕНОМЕНОЛОГИИ В ФИЛОСОФИИ ЭДМУНДА ГУССЕРЛЯ

Abstract

The article presents the historical prerequisites for the creation of mathematical phenomenology. Within the framework of the infinite numbers problems, the ways of their phenomenological interpretation are dis-cussed. Using the example of cooperation between Cantor and Husserl, the idea of mathematical phenome-nology is formulated, which takes into account the correlation of mathematical objects with our conscious-ness. In formal logic, subjective factors often affect the judgment process. The phenomenological method is valuable in that it makes it possible to conduct both objectively and subjectively oriented research in math-ematics and formal logic. In such a correlative study, subjective acts and objective referents of any phenom-enon should be taken into account. The main goal of correlative research is to create conditions for over-coming relativistic tendencies in mathematics and formal logic. As a result of the analysis, the question of the relationship between descriptive phenomenology and formalized constructions is raised. In the historical and philosophical context, the answer to this question is based on the theoretical developments provided in Husserl’s Formal and Transcendental Logic. Subjective-oriented logic goes back to the latent structures of theoretical reason. Here the problems of consciousness are formulated and solved in its live, actual execu-tion with the help of egological research. In conclusion, historical examples of the subjective transformation of formal logic are provided. In the first example, an interpretation of Descartes’ conclusion cogito, ergo sum is given, showing that the existential inconsistency of «I do not exist» and the reliability of the initial position «I exist» were realized here. Another example of the transformation of logic is Husserl’s phenome-nology. In order to bring logical forms to their subjective obviousness, it is necessary to change the orienta-tion of consciousness and to consider objects as givens of consciousness.