FOM: Cantor'sTheorem & Paradoxes & Continuum Hypothesis

Ayan amah8857 at brain.math.fau.edu
Mon Feb 12 05:34:15 EST 2001


How about this proof?

Take all the real numbers in [0,1] that has dyadic expansion. List them all 
if possible, flip the ones and zeros in the diagonal. This is a new number 
not in the list. So the cardinality of the reals in [0,1] is more than that 
of the naturals.

--Ayan





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