Here they are called "social democrats".

To me socialism is supposed to mean collective ownership of means of production (through cooperatives, government or any other mean), not "just" wealth distribution within a globally capitalist economy.

Put then, the "parti socialiste" in France is social-democrat, not wanting socialism...

Even when there is no will to make things actually fuzzy, words are sometimes treachery. When in a field like politics, they are abused from in various ways... and when you add cultural differences and lossy process like translation on top of all that... welcome to the joy of not understanding each other at all.

I guess that's what he put the details about what he meant for each word. We may not agree on the labels, but we understand from the description in which category we fit the best.