Suppose the government gave the people the option to die by fire or die by ice. This is a false dichotomy under which the will of the people is impossible to express. Suppose we were given the option to nuke China or nuke Russia? The inability of a system to express all possible opinions of will means that a government is deriving its authority to restrict the options from some other source.

Yes, exactly! And it shows that no democracy exists.

Isn't it better to educate virtuous man and let him make the decision?

The problem is that modern "science" doesn't know how to create virtuous people. But it's the only solution, really. Like it or not, government is always some leader. Decisions are made by the leader. The problem of the present society is in bad leaders.

Sounds strange and illogical idea that if you combine 10 bad leaders in the council, they will begin to make good decisions. Isn't it stupid? How is it that they will begin to make good decisions? Will they become smarter and better together? What is this strange logic? Of course they will make bad decisions.

So why is society doing this pointless task - to collect the bad leaders in the group and expect them to make good decisions?

It may be better to focus on raising good leaders?