Husserl's the problem of the mathematizability of the plena and Kant's characteristics of mathematical concepts
The article suggests that physical-mathematical cognition of nature is inherent in ancestral paradox, namely through mathematics physics creates a new scientific picture of the world permeated with mathematical structures, and then discovered that the laws of nature by incredibly accurate structures suited to mathematical knowledge, whereas, according to I. Kant, the actual mathematical concept of knowledge as such are not. But one hundred years after Kant's death to the foreground of generating abstract structures goes mathematical logic, purely formal methods bore hole which opened the logical foundations of mathematics essence, making this by Kant gnoseological score mathematical concepts demanded correction.