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Re: OK - tell me ANY-ANTIDIAGONAL from this LIST!
Posted:
Feb 28, 2013 5:56 AM
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I thought we had put this issue to bed.
Suppose I draw balls out of a jar and every
ball has an infinitely long decimal expansion of
a real between 0 and 1. My intent is to show a
number that isn't in the jar to the precision
of the number of balls drawn out of the jar.
So if the first ball has an 8 in the first position
after the decimal point I will write down a 7 in the
first position otherwise I will write down an 8 in the
first position. I repeat the procedure for the second ball
and the second position. I do this over and over.
You say my number is in the set of balls still in the
jar and search for one that matches all of the digits
I've written down so far and hand it to me. I repeat
the same process as before.
Now you might claim my 100 digit number for the first
100 balls isn't the same as the one I might have created
had the balls been presented to me in a different order.
Well, I don't care. No matter how you shuffle the balls
already presented to me, none of them will have the
same first 100 digits as the number I generated.
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