Is there a simple, easy to understand, proof of the following?
$$ |\mathcal{P} (\mathbb{N}) | = |\mathbb{R}|$$
That is, the cardinality of the power set of the natural numbers is the same as the cardinality of the real numbers.
The suggestions question has so much discussion, I am not sure I can take the answer as settled. The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$