Socialism is political set of ideas (not economic as it doesn't define means of production, communism does that) which says that the progressive taxation should pay for social things..
What is progressive taxation? What are "social things"? How is it political? Because it's about taxation? How does this correct for capitalism?
Progressive means increases % wise with amount of profit / earning, this ensures no one get stupidly rich at expense of others, it balances massive wealth taken by the capitalist.
Socialism is political ideology because its used in politics (which governs taxation, health education, infrastructure etc) & its not direct economic system (doesn't define production)
Social things is what any liberal / progressive / democratic / modern society should have, what people fought for against oppression, poverty, exploitation etc.