Actaea

In general, it's clear that the issue lies in the terminology...

I use the generally accepted terms; I don't know anything else :p

1) More precisely, there is one, but it's unknown in advance and needs to be developed. Of course.

Well, it's like some super-complex integral. There's no analytical solution, but numerical methods allow you to calculate it with a certain accuracy. Maybe someday they'll develop a new theory that allows you to find it exactly, but at the moment, it's impossible.

but in the case of a machine... On the one hand, it might also be incorrect, but would it be difficult to find the difference, do you think?

I understand what you're talking about. Yes, it would be difficult to find the difference, especially since a person can also make mistakes.
But I'm used to a different basis. The ability to think is precisely a property that is unique to humans. A machine cannot think independently; it only simulates (models) human thought processes. I hope you understand what I mean.

I find it somewhat difficult that we still don't have our own calendar. What should we do about this? If we don't invent some events from the past, we can use a new system of chronology, i.e., start the game with the first year of a new era. This could be linked, for example, to a major breakthrough in the field of scientific technology. If this idea is well received, we'll need to come up with a name.

I don't think the calendar arose so late that it counts down from a date related to technology. Then they wouldn't even have known the word, and they wouldn't have been involved in science. At most, they drew cows on the walls. It makes sense to count from the creation of the world or from a date related to some ancient event.