>>14260613It isn't a set because it would be easy to derive a larger infinity not in the set. This is why Cantor's conception of the absolute infinite, the Big Omega, was something you couldn't reach as a mathematical object. Formalizing infinities themselves, they are cardinal numbers, which are "too big to be a set." Once you construct the limit of all the aleph's it's called theta, and it's something that is always larger than powersetting an aleph. A question that can be formally answered is whether the set of all cardinals below a given cardinal is countable. This is left as an exercise to the reader.
