Uncountability of the reals using their bijective correspondence with the subsets of natural numbers

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In this video, using the famous Schroder-Bernstein Theorem, we show that there exists a bijective map from the power set of the set of natural numbers onto the set of real numbers. In the process we derive an alternative proof for the uncountability of the reals.
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Schroder-Bernstein certainly simplify the task. Could be a challenge to define a develop a bijection between P(N) and R.

petersiracusa
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very good explanation!!! congratulations

gcbroetto