That's a reasonable point, but I wonder if that problem is usually encountered when mathematicians from a particular branch of study read works from a different

That's a reasonable point, but I wonder if that problem is usually encountered when mathematicians from a particular branch of study read works from a different one whose usages and assumptions differ. I've bounced of it in even very simple areas, like whether 0 is a natural number, whether is is positive or negative (or other), whether 1 is prime, etc. Within the context of a particular community, such ambiguities aren't present.