It can be important why an argument is put forward. I might put forward an argument because A is true and not because B is true. B might still be true but in this case it is not the basis for my argument. Example: https://deref.se/2024/04/gamification/#phrase
In that case it wasn’t so much that A and B was true in and of themselves and more about me arguing that A is true and that even though B is also true, that is at most a corollary.
“That is in line with projections” is a favorite turn of phrase because I don’t like the connotations that we attach to “expect”. If I say “that is in line with expectations” it gives people the impression that I want whatever we’re talking about. That need not necessarily be true, I frequently need to indicate that something is in line with earlier projections but are not actually wanted. The crisis at the southern border the US was entirely in line with projections(have you seen countries like El Salvador or Haiti?) but in no way desirable.
Even when outcomes are wanted, that need not be central to why things were projected to be as they are, so “in line with projections” is a helpful way to express this occurrence.
Corollaries are useful sometimes. Not to be confused for Correlated: that things develop in some way that indicates that they are related. An important thing is to remember that Correlation does not indicate Causation. Which is similar to the warning we get in latin from post hoc ergo propter hoc, which says that just because A happens, then B happens, doesn’t mean that A causes B (the latin phrase actually means “after, therefore because of” which is patently untrue).
A corollary is some adjunct theory which need not necessarily be proven again in the text you’re reading, usually because it’s generally accepted to be true. Another use is to say that that something is a corollary to something. I have a document saved that is dubbed a corollary to the place where I work, as it is related to that employer but sometimes diverges from it where some other technology might seem preferable.
Exacerbated is not the same as exasperated. To exacerbate something is to make a situation worse. To be exasperated is to be frustrated to the point of giving up. They sound pretty similar and it is possible for something to exacerbate a problem, thus making someone exasperated, but they’re not the same thing.
Failsafe doesn’t mean that something is safe from failure, but rather that when it fails, it does so safely. Hardly anything is safe from failure so the best we can hope for is for a component to fail safely. Consider brakes in some trains where there are permanent heavy springs forcing brake-pads onto the wheels of each car, effectively forcing each car to a standstill. Only by using compressed air in a pneumatic system can you lift the brake-pads off each wheel pair. If the fancy-shmancy pneumatic system fails then nothing can push the brake-pads off the wheels and the train comes to a stop. That is perhaps annoying but it is safe, thus making it failsafe.
This isn’t always possible. Modern aircraft are fly-by-wire so the pilot flies the computer and the computer flies the plane. There is no “safe state” like for a train, the plane has to keep moving forward and the pilot needs to have power over the flight control surfaces. These systems therefore have backups to backups to backups because there is no safe alternative.
Subsistence farming is different from sustenance farming. Perhaps this is more commonly uttered as “they live at the sustenance level” when what they mean is “the live at the subsistence level”. Note that people who live at the subsistence level or engage is subsistence farming basically rely on the sustenance that they grow, so the word “sustenance” isn’t entirely foreign to the situation. But “subsistence” and “sustenance” are different things and are used differently.
Provisional is something temporary while provincial refers to things that have to do with a province(or are generally sort of rural). So a “provisional government” is a government in place until some future event and a “provincial government” would be the government of a province. The most common reference to a provisional government would be the post-tsar government which the bolcheviks then overthrew but there has probably been a lot more provisional governments throughout history.