title: [On a possibility of understanding over the limits of imagination].
abstract: Intellectual abilities of mathematicians led them to the creation of some number systems, among which the set of real numbers occupies a special place. A visual representation which would distinguish between the rational number system and the real number system was not found. Nevertheless, the set theory of real numbers was understood and accepted by mathematicians.
authors.forename: N N
authors.initials: NN
authors.lastname: Shuĭkin
authors.forename: I P
authors.initials: IP
authors.lastname: Levshina
mesh_terms: D003071:Cognition / Q000502:physiology*; D032882:Comprehension / Q000502:physiology*; D003210:Concept Formation / Q000502:physiology*; D006801:Humans; D007092:Imagination / Q000502:physiology*; D008433:Mathematics