What strikes many people as the most terrible aspect of suicide is the pain

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What strikes many people as the most terrible aspect of suicide is the pain inflicted on those left behind. But does this mean that we are literally obligated to stay alive for other people? Even as I appreciate that to kill oneself hurts one's friends and family in an unbelievable way, it seems strange to me that anyone should have ultimately have any reason to live besides their own, personal happiness.