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That chart on human demographic transition is so important for students (and many adults) because 1) it clarifies the difference between the levels and the growth rates; 2) It tells us that we've been living in very unusual times since at least the 'hinge of history' (to use your phrase); 3) says that unless the growth rates jumps again, the future may become even more unusual, especially if a future level returns to the level in, say, circa 1800. One has to wonder what that means, especially if we have somehow misunderstood the past.

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