Toss that intuition out. That's in some sense the major problem with higher dimensional spaces; our intuition about locality is built in a super-small-dimension

Toss that intuition out. That's in some sense the major problem with higher dimensional spaces; our intuition about locality is built in a super-small-dimensional space. Compare the locality of King, man, and uncle to King, lemma, and titrate. The former set is quite local.