## Question

###### Why does Cantor's diagonal argument fail to show that the set of all finite sequences of O's and 1'$ is uncountable?There is no contradiction; because the sequence produced by taking the diagonal of the table counting all sequences and flipping its bits is not finite:There is no contradiction; because for finite sets we usually use the letters a,b.There is no contradiction; because infinite sets are usually countable:The argument does work The set of sequences named in the questio

Why does Cantor's diagonal argument fail to show that the set of all finite sequences of O's and 1'$ is uncountable? There is no contradiction; because the sequence produced by taking the diagonal of the table counting all sequences and flipping its bits is not finite: There is no contradiction; because for finite sets we usually use the letters a,b. There is no contradiction; because infinite sets are usually countable: The argument does work The set of sequences named in the question is actually uncountable and Cantors diagonal argument shows it to be 50

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