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Is a consensus not a democracy of voting?

Depends. In general, in a consensus-based system like Bitcoin, there is a set of rules that everyone keeps track of. Breaking these rules is rejection of a person from the network (creates its own network). There are all sorts of different methods of democation in the network - but direct.

Sounds like a republic.

Maybe. But it short, it isn't XVIII century solution, it's XXI century solution. Trustless, decentralized consensus-rule technology

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