Kali is a hindu goddess
according to Dan Inosanto, ka-li is a contraction of 2 words. filipinos are fond of contracting words. i do not remember exactly the words, but i think it's kamut and lihouk which translates to hand - motion. meaning kali is about motion. i forget the word for foot, i believe it also starts with "ka" and kali could mean foot motion.
on the net, i've read a few of the arguments re: "kali" explaining it and denying it on the origin of the term. i do not know concretely and have not researched this personally, i'm only offering an explanation of the term.
FWIW, Floro Villabrille and Ben Largusa use the term kali.
i've seen a recent post on the diff 'tween A, K and E:
"kali - is the mother art that has empty hands/grappling/whips/ ect.
escrima - has all weapons but not the empty hands stuff
arnis - is just impact and edged weapons "
HTH