Language is ambiguous. Mathematics should not be. We can either state our own definitions at the outset, or we can use wording that (hopefully) rules out any of the ambiguous cases.
“Any” may mean “at least one” ($n\ge 1$) or “exactly one” ($n=1$). “Some” generally implies both “more than one” and “less than all” ($1<n<n_\text{max}$), but it is not explicit and there may be exceptions. “All”, of course, means “all” ($n=n_\text{max}$).
“Any, some, or all” is therefore a way to unambiguously indicate $1\le n \le n_\text{max}$ in words.
Tim Pederick
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2022-07-16T08:18:24Z (over 2 years ago)