ERROR in CANTORS PROOF

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Graham Cooper

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Sep 18, 2022, 2:56:41 AMSep 18
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take a random sequence of digits

rr = 0.329843601834764...


Take a list of reals L that atleast contains infinite random numbers

Its possible to SHUFFLE L such that

DIAG(SHUFFLE1(L)) = r

AND

ADIAG(SHUFFLE2(L)) = r


In fact, given a RICH LIST L

DIAG(SHUFFLE3(L)) = ADIAG(SHUFFLE4(L))


This proves that the ANTI-DIAGONAL is meaningless it can equal the diagonal






Sergio

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Sep 18, 2022, 11:20:28 AMSep 18
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easier to use WM's Swaparoofest function


r = Swaparoofest(L), where Swaparoofest is swapping X and O around.
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