The Proof: 1 + 1 = 0 ?

When make this post I believ that I am still normal and not crazzy. Not because a week does not posting in this blog or lost memories. It’s not because a week write math book, making it its own problems and continue to be in the mind and will forget myself. Look at the post title above. Title is not over when one or just want to search only sensai.

Let’s look the proof …
When we child small, your teachers teach you that 1 + 1 = 0. because you believe you can not avoid, and with your teacher to prove things simple. For example, there is 1 cow and the cows have 1 more, so note that there are two cows. It is true, and of course at that time did not want to sign a mathematical proof is not it? Because you still small, and let alone believe it passed. Create a thought what if it will only meet the mind and make you stress.

In the field of verification of a mathematical theorems is normal. In principle, a verification is to prove theorems segment with the same left-right segment if it proves an equality and the implications of a note where antesedennya and with the steps in the right, logical and systematic so that impact correct. Add a confused is not it?

While still a student I never taught how to prove 1 + 1 = 0 with the theory of the collective. Of course this time I do not want to prove that 1 + 1 = 0. However, on this occasion, I want to show the other side that read “one kaprah” (one considered correct) where 1 + 1 = 0. Kok bisa? Verification with the simple and not based on theorems that are difficult to use or hard-set theory and number theory. You only need a bit of knowledge:

1. We have that  i =sqrt (-1), i : complex number
2. And also that (a x  b) = sqrt (a) x sqrt (b)

It’s simple ? Let we look the proof:

It’s easy ? Well, according to the above verification is a verification error. Although a logical, systematic look correct, but there was a wrong step. I do not want to teach you something in the wrong or upon you, but let us try to see the other side of a matter, not only see things from a certain perspective.

In addition, the evidence above also teaches us to always sensitive and critical of everything that is around us. Not only accept it so what is going on and become a habit in our lives.

I don’t responsible for all consequences of this post


4 Responses to “The Proof: 1 + 1 = 0 ?”

  1. Rohedi on April 7th, 2009 10:23 am

    1 + 1 = 0 ?

    Oh it is not supprised, because when refering to euclid theory there are two values for square root (sqrt) of every positive numbers. So the square root of 1 are plus 1 and/or -1. So when representing one of the number one at left sides
    1+sqrt(1) we will find 1+1=2, or 1-1=0, even when both one are represented in square root : sqrt(1)+sqrt(1)=-1-1=-2, aren’t there, hehehe. Maybe the primary reason why euclidian theory tends to unrecognize, because sometime it yeilds uncostumarily results.

    Happy with you brother..


  2. admin on April 9th, 2009 3:04 am

    @Rohedi:nice idea.

  3. Rohedi on April 9th, 2009 11:31 pm

    Okay brother, Now I need your help to deliver my general exact formula for Pi number to all visitors here and your colleagues that until now has been posted at the link :


  4. VARDHAN H DONTHI on August 24th, 2010 2:06 pm

    Within the square root, can we take sqrt. (-1)(-1) as sqrt.(-1)*sqrt.(-1). Is that possible. Think over it!!!

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