“Does it make sense to try to extend the concept of a raised set to a real number?” asks an easily intelligible question: can one can make sense of the notation $\Bbb R^x$ even when $x$ is a non-integer. It was closed, without comment, as “off-topic”, and then deleted.
I considered the question ...
@XanderHenderson It seems to resemble, at least the title, to one of the linked posts; I've voted to close the post as it, math.stackexchange.com/questions/754049/…. But I can retract, or wait. I think this might be a case of two separate questions fully answering that question.
@Feeds Someone even claimed that $R^x$ does make sense for non-integer $x$ :( I voted to delete this request and I hope that the question won't get two more undelete-votes.
@Peter Per my comment on meta, I think that it is a good question, but not a good Question™. That is, I think that there is a natural question in there which someone might ask, but the version of that question which exists on the site is confused and muddled and not a good fit.
D - is this almost identical to my above D ? Or do I miss something ?
D - author seems to believe still that the display of the calculator giving some digits of $2\pi$ actually IS EXACLTY $2\pi$ , although several comments have clarified that $2\pi$ is irrational and its decimal expansion CANNOT be fully written down.