W. Mueckenheim
Abstract
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Cantor's famous proof of the non-denumerability of real numbers does apply to any infinite set. The set of exclusively all natural numbers does not exist. This shows that the concept of countability is not well defined. There remains no evidence for the existence of transfinite cardinal numbers.
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Cantor's famous proof of the non-denumerability of real numbers does apply to any infinite set. The set of exclusively all natural numbers does not exist. This shows that the concept of countability is not well defined. There remains no evidence for the existence of transfinite cardinal numbers.
Key concepts: Countable set, Transfinite number, Natural number, Mathematics, Infinite set, Set (abstract data type), Cardinal number (linguistics), Cantor's diagonal argument