Why should a baby who will die shortly be brought to term? Because we love that child for as long as that child lives, whether life be measured in decades or minutes. Why should we be there for anyone who is suffering? Why should we share in their pain? Why should we stay up all night for a sick toddler? Why should we wait by the bed of a loved one in the hospital? Why should we accept death for anyone, including ourselves?
The alternative to accepting death is to try to control it by giving ourselves the authority to take life before life will make too many demands on us. Hence we have abortion, infanticide, and euthanasia. Just take control. Don't let life hit you too hard. Eliminate the suffering by eliminating the person.