I like this explanation, but I might say abstractions are mutually translatable in a society. People having similar ideas is convenient but not necessary. I could imagine a society where everyone thought differently but used AI as a universal translator to make their ideas and personalities compatible.

Maybe you wouldn’t consider it a real society if they depended on machine translation, but we’re partially there already. It would still be a collection of minds with their own identities and intentions coordinating through an abstraction.