You pass away. The end.

Perhaps...or does it take half of the half remaining? That would mean you are still 25% alive

you take 1/2 times 1/2 which means you're only 1/4 dead :P

Geology scares me.

Lol you would never die, you can never half a half into nothing, it will become a smaller size of the bigger, it would go on forever xD

^ the key to eternal life. Get the living daylights constantly scared out of you. :P