The paper aim is to consider cognition in mathematics from the point of view of principle of complementarity when the latter stretches to elimination of the contradictions and disproves in historical development of such a scientific notion as «polyhedron».
In some cases with quantum experiments, some features of the objects disappear. These features we define as a pair of conjugate and complementarity quantities. Such results are not a rarity in quantum studies and this fact makes it possible to use the princi ple of complementarity in various fields of other natural sciences and some applied areas of knowledge (concerning classical objects of knowledge). The author solves this problem by discovering a certain methodology that would be similar to the principle of complementarity but applicable to the objects in cultural and humanitarian sphere as well.
The article is devoted to the problem of scientific and philosophical status of complementarity principlef. The author analyzes its explication by N. Bohr and its comprehension by scientists and epistemologists. It is shown that generally, the complementarity principle is a set of ideas, which allows comprehending of specific situation in quantum mechanics. Some of ideas – the role of language of classical physics, the role of macro-instrument, the integrity of scientific experiment, the integrity of micro-object – could be seen as general scientific and epistemological principles. The prohibition of ontologisation of quantum phenomenon, which necessarily leads to contradictions is considered as the semantic core of Bohr’s approach. However, the attempts of its generalization in science and philosophy were not successful. The complementarity postulate is viewed as methodological principle of foundations of quantum mechanics in its Copenhagen interpretation.
This article reveals the ontological and ideological aspect of the principle of uncertainty based on a study of scientific and philosophical ideas of scientists and naturalists. Раскрывается онтологический и мировоззренческий аспекты принципа неопределенности на основе исследования научно-философских естествоиспытателей. Розкривається онтологічний та світоглядний аспекти принципу невизначеності на основі дослідження науково-філософських ідей природознавців.