Consensus allows a piece of data to be added to the blockchain as numerous parties (nodes) will agree to add it and reach a consensus
Consensus is built on top of incentives in BTC for example the node computers are incentivised to tell the truth.
What does it mean when we say that in blockchain, consensus determines the truth?
Each node or computer determines truth by verifying the information on its copy of the ledger with every other node’s ledger. This means if the transaction is duplicated or false the other nodes can see that those funds never existed.
How is this different from how truth is determined in a central database?
Truth in a central database is determined by the administrator of the database and requires a level of trust between parties