"The further I got through grad school, the more I said "unbounded" rather than "infinite"."
I think there's a huge difference between simply saying "unbounded" compared to going through that detailed explanation you just gave. In the latter case, it's very clear what the difference is. But without the explanation I'd guess that people will think something like this:
unbounded -> without bound -> infinite
In other words, without the explanation "unbounded" becomes a synonym for "infinite".
I think there's a huge difference between simply saying "unbounded" compared to going through that detailed explanation you just gave. In the latter case, it's very clear what the difference is. But without the explanation I'd guess that people will think something like this:
In other words, without the explanation "unbounded" becomes a synonym for "infinite".