Classical economics is not a system but an accurate description of how individuals increase their security and the survivability of their families through normal interaction with others. Each decision to trade money for a good or service which is perceived to be worth more than the money in your pocket is economics. It is the total of economics.
If you remove the decision making process from the individual you have a system which is not an economic system but a political system.
Summary: The individual is economics. Any hoaky system which fails to recognize this fact is a system developed by an economic ignoramus and it is absolute BS from start to finish.
Socialism has nothing to do with economics. It is a political system designed to replace monarchy and functions much the same.
It’s an excuse to pick your pocket.