Not to mention, those Megadei were designed and built in a relatively short time-span by people with just enough memories to get them working at all, while Dorothy-1 was built over many years by a trained engineer who was working from a proven (pre-Event) design (albeit not a particularly deadly one—its gentle, dexterous tendrils and burrowing drills suggest that it was originally for use in disaster areas, to rescue survivors). Which just goes to show that killing the only two people who could possibly AvertNo Plans, No Prototype, No Backup for Dorothy-1 was rather shortsighted.
When Alex Rosewater tries to start up Big Fau, Big Fau goes through the whole "Cast in the name of God" stuff before going into "Ye Not" before shutting down. It's not the fact that Big Fau shuts down automatically due to missing components, but is actively rejecting Alex with the "Ye Not." An executioner's weapon would be blessed by a priest, so when it was used, the executioner's role was ordained by God, and thus, not a murderer. Hence "Ye Not Guilty." Alex thinks he IS a god and thus the practice falls apart.
Alan Gabriel tried to use the instrument of God for murder. He was thus found guilty of this sin ("Ye guilty" in contrast to the usual "Ye not guilty") and was himself slain by the executioner's weapon he tried to abuse.
Roger's Catch Phrases "It's Show Time" and "Action" make a lot more sense at the end of the series.
In episode 11, when the sax player and his blind girlfriend are eating, there's no food on his plate, but he makes motions and noises with his utensils as though he's eating. At first I thought this was an oversight by the animators, but then I realized: they're dirt-poor; he's secretly giving her his food.
The Big archetype is extremely fast and flexible but the Bigs themselves aren't. I can't think why it would be so flexible but the speed makes sense since while Bigs are slow but they have heavy weaponry and armor to slow them down.
The Archetype might have been a Super Prototype, with the Bigs being (relatively) dialed back Production Models. Not as much raw power, but you can afford to build an army of them. It could also be that the Archetype was the base chassis for the Big series. Its increased speed and strength comes simply from the fact that it isn't lugging around all of the weight that gets bolted onto the O, Fau, and Duo classes. All of them, especially the O class, carry extreme amounts of armor. That would necessitate an extreme amount of power on the part of the mecha to ensure reasonable mobility. The Bigs were military vehicles after all.
The design of the three Bigs all serve the three basic terrain. Big O is obviously based for ground combat with heavy armor and his grappling hook. Duo directly takes design cues from old propeller planes with its hands and its light weight. Fau, however, is a lot more underplayed. As seen in the final episode, his hands have spinning propellor-like gears on its wrist, which allow him to both maneuver and escape the water, something Big O faced a lot of difficulty in.
Big Fau's ExplodingRocket Punch may be usable in the air, but it's effectively a torpedo. Furthermore, Big Fau's head resembles a conning tower.
"Cast in the name of God Ye not Guilty" can mean many things, but is generally interpreted as "He who wields the Megadeus, created in God's name, is not a murderer but an executioner." But it may also be read as a paraphrasing of John 8:7—"Let him who is without sin/guilt cast the first stone." Schwarzwald's theme is called stoning.
According to one translation (found here), the choral version of Name of God has major spoilers for the series...In church Latin:
The first time Roger meets Seabach, the latter announces his name is "Schwarzwald." Roger looks up and says, "black forest?" which is what that means in German. So... there are foreign languages in a city where they're unsure if outsiders exist? It only gets worse when Dan Datsun identifies Michael Seabach of being if German descent, which means on some subliminal level foreigners make sense even though officially no one is sure.
It's possible that there are simply people who are of German decent who were living in the city when the event happened, like the Japanese in the joke episode. They might have forgotten about Germany or at least do not believe Germany still exists, but are simply aware that there are German people. Insert Hentalia reference here.
No one is sure that there are outsiders anymore.
Indeed. They knew that there used to be outsiders, but much like Romdeau in Ergo Proxy, the status of the world outside the domes is somewhat up in the air. People in Paradigm seem to default to the idea that they were the only survivors.
The Paradigm group that Dastun reports to says there are no survivors outside the domes. It's only later in the episode that Alex says there are outsiders. But then Gordon says...
It's like dinosaurs: it's one thing to say that T. Rex lived millions of years ago. It's quite another to say that one just tore up Central Park. Likewise, the people of Paradigm don't really expect "extinct" foreigners to launch a bombing campaign.
The confusion is understandable. In Winter Night Phantom there is a French phrase that repeats throughout the episode that no one can translate and is deemed a nonsensical language. The phrase Fin also appears and no one knows what it means. If no one understands those, then how does a German phrase make perfect sense?
Language didn't seem to be effected by the Event Forty Years Ago, and there were presumably people of German descent living in Paradigm, meaning they would still be able to speak German in some capacity and keep the language alive. Maybe there were just too few French people left after the Event? The only character ever shown to have even a mild understanding of French is the woman that Dastun confronts at the end of "Winter Night Phantom," and she could have just been quoting the in-universe movie the French phrase originated from.