I haven't experienced too much death in my life (knock on wood), but no, it doesn't really bother me too much.
When my Grandpa died, whom I loved dearly and miss terribly, I didn't cry at all. I was sad, but I didn't cry.
However, when my dog of seven years died, I screamed and fell on the floor and clung onto his body for six hours until my family released my grasp and buried him in the backyard...
I know I'm going to react even worse when my cat, whom I see as my familiar, dies. I just won't be able to handle it. I love my Sugar Booger!
But otherwise, eh. Doesn't bug me. I'll cry when my parents die, though. I know that much. Otherwise, I won't cry when cousins, aunts or uncles, or my friends die.
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"Our deepest fear is not that we are inadequate. Our deepest fear is that we are powerful beyond measure. We ask ourselves, Who am I to be brilliant, gorgeous, talented, fabulous? Actually, who are you not to be?"