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13. One Equals Two

This, of course, is an old chestnut but can you remember how to prove that 1 = 2 ?
 

Scroll down the page for the answer.


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

OK, here goes:

let  a = b
so  ab = b 2
so  ab - a 2 = b 2 - a 2
so  a(b - a) = (b + a)(b - a)
so  a = b + a
so  a = 2a

so if a = 1 then 1 = 2
 

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