Is $2^{|\mathbb{N}|} = |\mathbb{R}|$? [duplicate]
In short: A binary number $0.a_1a_2a_3\ldots$ can be identified with the set $\{n\in \mathbb N\mid a_n\ne 0\}$. A few details have to be checked, though
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$? [duplicate]
In short: A binary number $0.a_1a_2a_3\ldots$ can be identified with the set $\{n\in \mathbb N\mid a_n\ne 0\}$. A few details have to be checked, though