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    Still on LOPs
    From: Peter Fogg
    Date: 2002 Apr 18, 09:02 +1000

    If we have just one LOP then I can see that the possibility is 50/50
    that the real position (RP) lies on either side of it. But I suspect
    that with a second and third, the probability of the  RP lying within
    the confines of the LOPs increases, not decreases. This is what common
    sense and long experience tells us and the elliptical plots we've seen
    seem to bear this out.
    I suspect that George Huxtable is having a lend of us by trying to show
    the contrary, a classic case of 'lies, damn lies and statistics',
    although its all to the good by forcing us to think about the question
    and justify it by all means possible.
    By way of example, here's another conundrum. We all know that the
    world's human population has been increasing over recorded history, and
    that the rate of increase is also rapidly rising, particularly in the
    last 150 years. If you wanted to plot this you would have a triangle,
    the peak at the top would be the small original population, the wide
    base at the bottom the present population. Now on the same sheet start
    with any of these individuals at the bottom, and work back: two parents,
    four grandparents; each generation, about every 25 years, must double
    the population, so you end up with another triangle of the opposite
    shape, making a shape like the star of David. Each shape defies the
    other yet both must be literally true. The solution to that one is that
    the hordes of people who didn't exist in the mists of time must have
    been nearly all the same people, its actually a proof of how closely
    related we all are.
    I'm not sure what the solution to the fix within or without the LOPs is
    but it seems to be engaging many of us.

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