reply to Jurriaan

Les Schaffer schaffer at optonline.net
Tue Jul 8 09:28:10 MDT 2003


there are two (not mod zero) intermediate cases that the inimitable
John Enyang's example brackets.

one stems from a hidden algebraic error:

  http://mathworld.wolfram.com/Fallacy.html

  simply subtract 1 from both sides to get the more classic 0 = 1
  be sure to follow the links on dissection fallacy too.


the other from subtleties of limiting processes:

  0 =   0
  0 =   0  +  0   +   0   +   0   + ...
  0 =  (1 + -1) + (1 + -1) + ...
  0 =   1   +    (-1 + 1)    +  (-1 + 1) + ...
  0 =   1


les schaffer





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