General Mathematics

    

Negative Proof of The Continuum Hypothesis

Authors: Zhi Li, Hua Li

The continuum hypothesis states that the set of real numbers is the power set of the countable set of natural numbers, the smallest uncountable set, and its cardinality is greater than that of natural numbers. There is no set whose cardinality is absolutely greater than that of countable sets and absolutely less than that of the set of real numbers.This paper proposes a method for constructing a subset of real numbers and proves that itscardinality exceeds that given by the continuum hypothesis. This result refutes the continuumhypothesis and pushes the cardinality of real numbers to a higher order of magnitude.

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[v1] 2026-03-18 09:36:37

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