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    Re: Still on LOP's
    From: Martin Gardner
    Date: 2002 Apr 22, 06:20 -0700

    George wrote
    
    > So thanks to Geoffrey for inventing those triangles.
    >
    I agree.  I find Geoffrey's argument utterly convincing.
    
    I now plan to get on with my life, confident that the odds of the cocked hat
    containing my actual position are 1 in 4.
    
    Martin Gardner
    
    P.s. - perhaps saying too much - but my last remarks on this topic:
    
    (1) I am not at all disquieted that the RRR to LLL arguments might come to a
    1/7th probability, because I was always uneasy with this line of thinking,
    and because the probabilities involved both infinite and finite areas of the
    plane.
    
    (2) I am not disquieted by the accidental perfect intersection argument,
    because it seems that in this limiting case, there might actually _be_ a 1
    in 4 chance we are at that point.  Limits are tricky.
    
    
    

       
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