Abstract
Mihailo Petrović (1868 – 1943) was a universal creator who came from a prominent Belgrade family. Father Nikodim was a professor at the faculty of theology, and mother Milica was the daughter of the patron Novica Lazarević. He was a student of the famous French mathematicians Henri Poincaré (1854-1912), Charles Hermite (1822-1901) and Charles Émile Picard (1856-1941).
The work of Mihailo Petrović represents a turning point in the development of mathematics among Serbs, and the work goes far beyond the borders of the country from which it originates and represents a significant contribution to the development of science in the world. Mihailo Petrović was preoccupied with questions of nature and the unraveling of the natural order of all things, which is where his well-known study Elements of Mathematical Phenomenology, published in 1911, reflects his contribution to the philosophy of science.
The aim of this paper is to present phenomenology as a direction of contemporary philosophy, whose most famous representative is Edmund Husserl (Edmund Husserl, 1859-1938), from the point of view of mathematical phenomenology of Mihai Petrović and consider the notions of analogy and intuition versus empirical rationalism.