What is Consensus?

Consensus is how a group of servers agree on one value or one ordered log of operations, even when some nodes crash or messages are delayed. Every non-faulty node must eventually pick the same result.
Typical problem: five database replicas receive write requests. Which write is official? Consensus picks an order everyone follows so all replicas stay consistent.
Raft and Paxos are general distributed-systems algorithms not blockchain specific.
Products using Consensus: etcd, Consul, CockroachDB, TiKV (Raft); Google Chubby, Spanner (Paxos family)

Raft vs Paxos

Paxos Raft (used in etcd, Consul, many DBs)
What quorum voting, no fixed leader; harder to implement, very proven (1990s, Leslie Lamport) one leader replicates a log; easier to teach and build (2013);
Understanding Hard — many phases, multi-Paxos for logs is subtle Easier — leader election + log replication story
Leader No permanent leader (proposers compete) One leader at a time; followers only accept from leader
Roles Proposers, Acceptors, Learners Leader, Follower, Candidate
Mechanism Prepare → Promise → Accept → Learn (majority quorum) Elect leader → append entries → commit when majority acks
Typical use Google infrastructure, custom high-reliability systems etcd, Consul, CockroachDB, MongoDB-style replication