Re: Request for Peer Review - Refutation of Cantor Theorem Conclusion
- From: "Scott" <ToaTerra@xxxxxxxxx>
- Date: 1 May 2006 13:35:05 -0700
Patricia:
Of course, no matter what rule you tell me, I'll construct the string
that differs in bit n from string n in your enumeration.
Given the enumeration of the real numbers in the interval (0,1), I
choose the anti-diagonal d and place it at index 1. I claim you cannot
find any other real number to add to the interval and therefore,
card(enumeration) = card( interval(0,1) ).
Can you tell me a rule for finding where an
arbitrary string appears in your enumeration?
Yes. Search the enumeration to find the matching string and return the
index for that location.
.
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