No, I said that she lived at all because he didn't do a full sweep of the hospital, not that he should have. I was pointing out a false premise in you saying he 'slaughtered an entire hospital'. She is manifest proof that Joel didn't. Separately, I did say it was unfortunate she wasn't one of those fool enough to take up arms - that way she'd have never been able to betray and ambush someone who saved her life.
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If it wasn't a morally important question of intentionally killing or not, the trolley problem wouldn't have one lever, it would have two. It was conceived before society had degenerated to a point where people didn't distinguish between "bad things happening" and "intentionally making them happen by your own hand".
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Only if any particular individual life is of no irreplaceable value, sure.