Remarks on Cantor's diagonalization proof of 1891
Slavica Vlahovic, Branislav Vlahovic
Abstract
Remarks on the Cantor's nondenumerability proof of 1891 that the real numbers are noncountable will be given. By the Cantor's diagonal procedure, it is not possible to build numbers that are different from all numbers in a general assumed denumerable sequence of all real numbers. The numbers created on the diagonal of the assumed sequence are not different from the numbers in the assumed denumerable sequence or they do not belong to that sequence.
Create a lesson
Related papers
Multiorder Fractional Operators: The Conformable Multiorder Derivative and Its Associated Multiorder Integral
Carlos E Cadenas R
From Umbral Hyperbolic Integrals to a Cotangent Coefficient Formula for the Mittag Leffler Polynomials
Luc Ramsès Talla Waffo
Largest Circle Enclosing Exactly n Interior Lattice Points. II
Jianqiang Zhao
Completeness of the Fuzzy Order on Fuzzy Numbers
Mingchun Xie
Study of the algebra of smooth integro-differential operators with applications
Ahmad Haghany, Adel Kassaian
Parity-Sensitive Fourier Uncertainty and Zero-Set Rigidity on the Finite Parabola
Dongwei Li