How we cite our quotes: (Act.Paragraph)
Quote #4
We predicted that, Helena. You see, this is the transition to a new system. (1.115)
Domin is saying that he predicted massive war, revolution, and bloodshed as a consequence of creating robots. To Domin, this is all part of an inevitable transition to a new utopia. Domin here (and elsewhere) sounds a bit like Marx or Lenin (the Russian Revolution occurred just a few years before Čapek wrote his play). Marx also thought you needed bloodshed before you got to utopia. As it turned out, bloodshed in Russia led mostly to, well, more bloodshed. That's what happens with the robots, too.
Quote #5
[…] human labor has become unnecessary, because suffering has become unnecessary, because man needs nothing, nothing, nothing, nothing but to enjoy—Oh cursed paradise, this… Helena, there is nothing more terrible than giving people paradise on earth! Why have women stopped giving birth? Because the whole world has become Domin's Sodom!... Helena, to men who are superfluous women will not bear children! (1.212)
Domin's dreams have led to sterility and death, at least according to Alquist. Note that Alquist calls Domin's utopia "Sodom." Sodom was a city destroyed in the Bible; people often claim that the sin of the people there was homosexuality. Domin's "sin" also involves interfering with the "natural order" between men and women. He has replaced procreation with reproduction. The evil of the robots is that they threaten to upset gender roles—men will no longer work, turning them into women, while women need no longer bear children. Robots are dangerous because they're sexy, or… not sexy enough.
Quote #6
People with ideas should not be allowed to have an influence on affairs of the world. (1.297)
Dr. Gall is arguing that Domin has caused troubles because he has ideas. But Young Rossum was against any kind of ideology—and he's the one who produced the robots and arguably caused all the troubles. Is it even possible not to have ideas? If so, then you're a robot yourself, which doesn't seem to be a good outcome (unless you're a cute robot like R2-D2, maybe—bleep, bloop).