What does it mean when we say that in blockchain, consensus determines the truth?
Only “true” transactions/events make it into the blockchain because prior to adding any transaction/event, each node on the blockchain must agree that the transaction/event is a legitimate one. The honesty of each blockchain node is ensured because each is financially incentivised to tell the truth.
How is this different from how truth is determined in a central database?
In a centralised DB, there is a single decision maker or decision-making company or authority so the truth can be changed to suit that decision maker’s motives, and mistakes can be made by this decision maker thereby potentially creating a false truth.