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Dedekind Cuts, Moving Markers, and the Uncountability of ℝ.

Authors :
Ross, David A.
Source :
Mathematics Magazine; Jun2024, Vol. 97 Issue 3, p286-292, 7p
Publication Year :
2024

Abstract

We give short proofs that ℝ is uncountable directly from the definition of ℝ as the set of Dedekind cuts of ℚ. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0025570X
Volume :
97
Issue :
3
Database :
Complementary Index
Journal :
Mathematics Magazine
Publication Type :
Academic Journal
Accession number :
177593911
Full Text :
https://doi.org/10.1080/0025570X.2024.2336439