I'm not quibbling Marx ran the ball quite a way.
But I wouldn't call Hegel a minarchist. His philosophy was essentially a justification for collectivism. He was inventing the moral case for the new non monarchical governments springing up. Divine right wasn't going to cut it anymore. You need an excuse to prey on people, and he (among others to be sure) provided it.
Now he may not have imagined how far things would go. He may have just been used to government and didn't like the idea of it going away while not thinking it might get so out of control. Regardless Hegel is a seed of all sorts of evil.
I don't recall what Rothbard had to say about him but I'll bet it wasn't kind. I'll have to check.
Want DP delivered to your inbox daily? Subscribe here: