I actually wouldnt mind some.....
from the fundamental beliefs of Logicology
well..... well, scientific studies have been conducted and they say that IF a cat jumped off a building, which it would not because as Logicology proves, jumping off anything is anathema to a cats very existance, if it DID jump off a building, it would actually bend all the laws of space and time backwards three times to the left and implode upon a black-hole shaped votex rating approx .99 C∞N and thus creating a hellish sludge named Holyeffsickleswhattehhellsbethatatosameene that actually acts as a time-warping sludge, aslo found in supermans ear cavity. so to answer your original quetion, I believe it would in fact, not die, or live, but exist instead in a state of suspended animation similar to that of a mark six animatroonicmitosisanotor. ~keeps a straight face~