If we were just bodies that would be true. But the bible tells us we are body, soul and spirit.
We need to be very careful that in considering eternity in the light of our mortal existance, we don't forget that the thinking feeling awareness part of you, is not just the neurons that make your physical body work. You are spirit and soul as wel as body (and if you can't prove you are not, then please don't assume what you oneday might regret) .. consider the destiny of your eternal spirit, before you decide that it all stops when those neurons suddenly stop functioning.