Prove that the real numbers do not have cardinality N0 using Cantor’s diagonalization argument.

Prove that the real numbers do not have cardinality N₀ using Cantor’s diagonalization argument.

Expert Solution

Since we have proved that real numbers are uncountable, hence they cannot have cardinality aleph naught.

Colby Messinger answered 1 year ago

Prove that the real numbers do not have cardinality using Cantor’s diagonalization argument.

A. Prove that R and the real interval (0, 1) have the same cardinality.

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Question

Prove that the real numbers do not have cardinality N0 using Cantor’s diagonalization argument.

Solutions

Expert Solution

Related Solutions

Prove that the real numbers do not have cardinality using Cantor’s diagonalization argument.

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