1. What does it mean when we say that in blockchain, consensus determines the truth?
Consensus in blockchain determines the truth because the information agreed upon by the majority of the network. This works because the network is composed of several independent computer nodes that are all running their own copy of the blockchain and in communication about rules of the protocol. This creates a trustless ecosystem and makes the blockchain immutable and very hard to tamper with. This works because the miners are incentivized to keep in alignment with the rules so that they can add to the network and earn their portion of the block reward.
2. How is this different from how truth is determined in a central database?
This is different because it requires all the computer nodes in the whole network to agree upon the data and follow the same strict mathematical rules that make the network work. One computer in the blockchain cannot change the truth of the network because the rest of the nodes will reject the information and it will not be added to the blockchain. In a centralized database, the information can be changed and the truth will be altered.