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Can one talk about equivalences classes in a class(which might not be a set). [duplicate]

equivalence relation on a set breaks it into disjoint sets. does 'disjointness' make sense in classes. specifically, given a category, isomorphism classes of objects makes sense or not. can it be so ...
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234 views

The number of equivalence classes of finite symmetric difference relation

Let $\Sigma$ be an infinite set. Let $A,B \subseteq \Sigma$ be of finite symmetric difference iff they have a finite difference, more formally: $A \sim B$ iff $|A \Delta B| \in \mathbb{N}$ How ...