When talking about subsets of an infinite set, and in particular fields, the common understanding of the word “between” means in terms of subsets, not cardinali

When talking about subsets of an infinite set, and in particular fields, the common understanding of the word “between” means in terms of subsets, not cardinality. For instance, the field Q(sqrt 2) lies between the fields Q and Q(sqrt 2, sqrt 3).