The only way to redistribute is to either: A. make the people that don't have money to create goods and services others want B. confiscate money from richer people and redistribute. The first is the market and generally, this results in a Paretto distribution. The second is socialism. Literally, claim what rich people possess as "societal" good and redistribute to others. There isn't some in between. You either have some central entity that redistributes wealth or you don't. So yes, a "more fair" distribution according to your standard is socialism.