User:IssaRice/Adverb negative adjective

Sometimes the pattern adverb followed by (negative adjective) is used in mathematical terms to mean negative followed by (adverb adjective), and I find this confusing. Here are two examples:

• "absolutely divergent" to mean "not absolutely convergent" see this comment by Terence Tao. -- this sounds like the series does the diverging thing in an absolute manner, which makes no sense.
• "recursively inseparable" to mean "not recursively separable" (equivalently, "not separable by a recursive set") -- this sounds like there is some recursive/computable process that "inseparates" the two sets, which makes no sense
• "negation incomplete" to mean "not negation-complete" (see Peter Smith's Godel book)
• $\omega$-incomplete (not $\omega$-complete) and $\omega$-inconsistent (not $\omega$-consistent), although these are a bit odd because the negation versions are defined first.

This one is slightly different:

• "non-recursive enumerability" to mean "not (recursively enumerable)" -- see Cutland p. 130.