[AnthonyMouse]

You seem to be questioning the possibility of private schools existing when they obviously do. Moreover, you could have publicly funded education without having a state-operated school bureaucracy, or without that bureaucracy having a monopoly on the funding.

[Eisenstein]

Perhaps I am confused about what you mean by bureaucracy. Can you define it?

[AnthonyMouse]

A bureaucracy is an organization or subdivision with a multi-level hierarchical structure.