Non-authoritative answer: It doesn't sound right to me, as if you say I know not. German and English seem to be the language family members that do not absolutely require an object at know, the others I heard of do.
Just before this I saw the sentence "Det ved jeg ikke." Can any german speakers tell me if one can do the same trick in Danish as in German, which is to put the accusative on the front? As in "Das weiß ich nicht."?
Can anyone tell me the difference between the different Danish words for "know" i.e. ved, kender, vide etc? I don't know if I just missed an explaination along the way or what, but if someone could help me out, I'd really appreciate it.