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For a long, long time the general wisdom was
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there were not heavy casualties in hoplite battles --
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people calculating on what I was just talking about.
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But then an old Yalie who took this course when he was very young,
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and later became an ancient Greek historian,
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took the wonderfully outlandish device of answering this question.
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He simply took all the battles in Greek history
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that we have a record of,
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and which we know what the casualties were like, and counted
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and he concluded --
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anybody can check because there they are --
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that casualties could run as high as 15% at a hoplite battle.