User:IssaRice/Adverb negative adjective: Difference between revisions

Revision as of 02:30, 19 December 2018

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)

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 * "absolutely divergent" to mean "''not'' absolutely convergent" see [https://gowers.wordpress.com/2011/09/26/basic-logic-connectives-not/#comment-12071 this comment] by Terence Tao. -- this sounds like the series does the diverging thing in an absolute manner, which makes no sense.
 * "[[wikipedia:Recursively inseparable sets|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)