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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Still on LOP's
From: Martin Gardner
Date: 2002 Apr 22, 06:20 -0700
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.
