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That existence does not include you.
The meaning of "existence after death" is uncertain.
It can mean:
Religious existence (where people's soul live in places we cannot reach, like Heaven and Hell)
Mind existence in Physical sense (in electronic field maybe?)
Physical Body (yes, it exist after death)
There is no viable proof that humans possess a soul. Until more concrete scientific evidence exists, there is little to no reason to believe that human experience will extend beyond death.
Every claim of fact needs supporting evidence.This claim has none.
There is no positive proof for it.
(I am not claiming there is not existence, but only doubting the justification for claiming there is such existence.)
Until there is concrete scientific evidence supporting that idea, this is a personal belief and therefore should be under the "religion" section, not the "science" section.
A sheep's pelt continues on after the death of the sheep.
One person dying does not result in the discontinuing of all existence
Energy can not be created or destroyed it's nature is to evolve, our conscientiousness is simply a complex form of energy.