Fallacies based on division by zero It is possible to disguise a special case of division by zero in an algebraic argument,[1] leading to spurious proofs that 1 = 2 such as the following: With the following assumptions: The following must be true: Dividing by zero gives: Simplified, yields: The fallacy is the implicit assumption that dividing by 0 is a legitimate operation.
You cann't divide by zero, because if you divide something, you can multiply it with the number and get your first number (sorry for bad english, I'm german ) 21 : 3= 7 ; 7 * 3 = 21 but you cann't do 21 : 0 = 0 ; 0 * 0 ≠ 21 ( I know, that's wrong, that I write 21 : 0 = 0, so I cross it out)