Theoretical Math
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When Harry Truman learned of the success of the Manhattan Project, he knew he was faced with a decision of unprecedented gravity. The capacity to end the war with Japan was in his hands, but it would involve unleashing the most terrible weapon ever known to man. For Truman, the choice whether or not to use the atomic bomb was the most difficult decision of his life.
Truman stated that his decision to drop the bomb was purely military. A Normandy-type amphibious landing would have cost an estimated million casualties. Truman believed that the bombs saved Japanese lives as well. Prolonging the war was not an option for the President. Over 3,500 Japanese kamikaze raids had already wrought great destruction and loss of American lives.
Trumans decision was an extremely hard one first he had to think of not only any alternatives but what could he do to still get his point across but limit destruction