Mining is the basic native business of proof of work (POW) blockchains.
Miners provide computing power in the form of hashrate to blockchains so that each block may be stamped at a very high cost.
These stamps are the only information all nodes and other miners in the system need to know to confirm which is the correct block in each round in a completely decentralized way.
This system has been working uninterruptedly in Bitcoin (BTC) for 15 years and in Ethereum Classic (ETC) for 9 years.
The incentives that miners have to put their machines to work for a blockchain such as ETC are the rewards per block.
These rewards are the payments per block in the form of newly created ETC, and the fees of all the transactions included in each block.
The reason you should be mining ETC is for the earnings opportunity that it represents!