Hey galaxybrains, help a STEMlet out here, would ya?
Ever since I was little I’ve been thinking about something that’s very adjacent to Russel’s paradox but I haven’t ever found a name for it or any writing on it. I’m not even sure if it really counts as a paradox but it’s interesting to me anyways
Does the set of all sets that DO contain themselves contain itself?
Is the word “autological” autological?
Formally put, if
R = { x | x E x }, is R E R?
(That’s the closest I can get to the subset symbol on mobile)

Whereas Russel’s paradox involves statements that can’t be resolved, this involves statements that it seems like you could call either true or false. Is there a name for this? Is there anywhere I can read more about it? Thanks friends