Yes. I’m not an expert in this area but the intuition for finite sets is well modeled by the standard axioms of set theory and I’ve never heard of an issue wit

Yes. I’m not an expert in this area but the intuition for finite sets is well modeled by the standard axioms of set theory and I’ve never heard of an issue with finite sets. Things like Russell’s Paradox had to do with constructing sets when the foundations for doing this weren’t well established. Countably infinite sets are fine too, for the most part. The truly weird results come from uncountably infinite sets.