An Alternative Proof that the Real Numbers are Uncountable
Abstract
Many students as well as educators find it difficult to accept Cantor’s Diagonalization argument that the real numbers are uncountable. In this paper, we provide an alternative proof that may be easier for students to accept. The proof could provide further insight into the reason that the real numbers are uncountable. That is, any statement that leads to anything being possible includes the fact that the statement is impossible.
Keywords: real numbers, uncountability
How to Cite:
Kaufman, R., (2025) “An Alternative Proof that the Real Numbers are Uncountable”, Ohio Journal of School Mathematics 99, 1--4.
Rights: Richard Kaufman
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