We want to prove that and are uncountable. The book says that there are bijections from onto onto unit semicircle. From this point how do we deduce that is uncountable? is then uncountable if we prove that is uncountable.
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Originally Posted by shilz222 We want to prove that and are uncountable. The book says that there are bijections from onto onto unit semicircle. From this point how do we deduce that is uncountable? is then uncountable if we prove that is uncountable. The diagnol argument shows that is uncountable. That that means is uncountable because it contains it as a subset.
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