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What about partial partitions, let's say you have 7 nodes, and 4 of them can't see the other 3, while the client can see all of them?

There are systems tolerant to these partitions (see PAXOS)



Your definition of tolerant is incompatible with availability from CAP. The Paxos 3/7 minority in your example can't make progress when partitioned from the other 4 machines.




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