A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)
R. Iyer. Applied Mathematics and Sciences: An International Journal (MathSJ ), 10 (1/2):
31-41(June 2023)
DOI: 10.5121/mathsj.2023.10203
Abstract
We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively.
%0 Journal Article
%1 noauthororeditor
%A Iyer, Rajah
%D 2023
%J Applied Mathematics and Sciences: An International Journal (MathSJ )
%K Argument CH Continuum Diagonal Hypothesis Resolution to
%N 1/2
%P 31-41
%R 10.5121/mathsj.2023.10203
%T A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)
%U https://www.airccse.com/mathsj/papers/10223mathsj03.pdf
%V 10
%X We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively.
@article{noauthororeditor,
abstract = {We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively.
},
added-at = {2023-06-28T09:16:42.000+0200},
author = {Iyer, Rajah},
biburl = {https://www.bibsonomy.org/bibtex/243d797271e3ab50966780ab6ab753f7d/journalmathsj},
doi = {10.5121/mathsj.2023.10203},
interhash = {30ec01a44c047f9f9a62b7251bc7d28e},
intrahash = {43d797271e3ab50966780ab6ab753f7d},
issn = {2349 - 6223},
journal = {Applied Mathematics and Sciences: An International Journal (MathSJ )},
keywords = {Argument CH Continuum Diagonal Hypothesis Resolution to},
language = {English},
month = {June},
number = {1/2},
pages = {31-41},
timestamp = {2023-06-28T09:16:42.000+0200},
title = {A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)},
url = {https://www.airccse.com/mathsj/papers/10223mathsj03.pdf},
volume = 10,
year = 2023
}