skimming through the book - your section at the end where you show a proof 
that 1 = 2... absurd from what I can see...

on line 3 you say:

1 - 1 = (1 + 1)(1-1)
and evalueat it to:

1-1/1-1 = 1 + 1...

how can you come up with that?
as far as I can tell it evaluates to:
1-1 = 2 * 0
0 = 0

???  so all the rest of you "logic" is wrong.  

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