So your only problem is with the word "size" (and relatedly "smaller" and "bigger")? That seems like a fairly "trivial" issue. I don't think there is any parti

So your only problem is with the word "size" (and relatedly "smaller" and "bigger")? That seems like a fairly "trivial" issue. I don't think there is any particular benefit to using those terms except that they are evocative of the kind of thing we are talking about when we compare sets. Saying "size" is a useful way to get an idea into someone's head, the objective reality behind it is the definition of cardinality, nothing else.