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1=0????


Dreamchaser

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1 = 0

 

That comes from a mathematical fallacy.

 

Proof that 0 equals 1:

 

Start with the addition of an infinite succession of zero's

 

0 = 0 + 0 + 0 + 0 + ...

 

Then recognize that 0 = 1 − 1

 

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

 

Applying the associative law of addition results in

 

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

 

Of course − 1 + 1 = 0

 

0 = 1 + 0 + 0 + 0 + ...

 

And the addition of an infinite string of zero's can be discarded leaving

 

0 = 1

 

Q.E.D.

 

The error here is that the associative law cannot be applied freely to an infinite sum unless the sum would converge without any parentheses. In this particular argument, the second line gives the sequence of partial sums 0, 0, 0, ... (which converges to 0) while the third line gives the sequence of partial sums 1, 1, 1, ... (which converges to 1), so it is unclear in what sense these expressions can be considered equal.

 

Source

 

There are other mathematical fallacies in there as well.

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  • 2 weeks later...
divide both sides by a^2-ab gives 2=1...

which is a total break down of logic

 

I disagree - it's not a breakdown of logic. If anything it shows that we do not understand too well how to use zero in division. Division by zero is illogical because we cannot express it in a rational way.

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  • 2 weeks later...
because a=b a*a-a*b is like saying a*a-a*a which is zero and since u cant devide by zero it breaks down the logic of mathematics giving u stupid answers it was stuff like this that people were sending in when fermet last therom had not be proved and they offered money for the proof

 

so b*b-b*b = a*a-a*a??? and they both = zero? so 2*2-2*2=0 oh crap I get it!!!!!!! I was not useing order of operations!!!!! I am sorry I was having a blonde moment:eek_big:

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