As to your question, it really depends what you mean by "survive". Paxos will not make progress unless it can achieve quorum, usually set as the majority of nodes. However it won't corrupt data either (multiple different tx values being chosen during consensus). It is thus a good fit for non-adversarial environments where you own & control all the nodes in the cluster and want to gracefully handle common faults (nodes losing power or crashing, network messages lost).