How Can 1+1 Equal 0? Exploring Mathematical Anomalies

  • Thread starter drc4rd1n
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In summary, the mystery behind 1+1=0 lies in the concept of modular arithmetic, where numbers can wrap around a certain value. This challenges our traditional understanding of numbers and has practical applications in fields such as computer science and cryptography. Other examples of numbers adding up to 0 can also be found in modular arithmetic, and 1+1=0 is used in practical applications such as error detection, encryption, and in number theory and algebraic structures.
  • #1
drc4rd1n
6
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helo..

We know that 1+1 = 2.

but try this out..there is some dummy things goes around here

Firstly, we denote
1 + 1 = 1 + [tex]\sqrt{1}[/tex]
<=> 1 + [tex]\sqrt{(-1)(-1)}[/tex]
<=> 1 + [tex]\sqrt{-1}[/tex][tex]\sqrt{-1}[/tex]
<=> 1 + i*i
<=> 1 + (-1)
<=> 0 ??

how come 1+1=0 ?
and where is the mistake ?

Is it true 1 = [tex]\sqrt{1}[/tex] ?
 
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  • #2
See [thread=134627]this thread[/thread], one of many, many, many, many other threads on this topic.
 
  • #3
EDIT:

Never mind, I was never good at maths. Didn't read what you put properly :P
 
  • #4
D H said:
See [thread=134627]this thread[/thread], one of many, many, many, many other threads on this topic.

orait.thanks!
 
  • #5
mod 2 :(
 
  • #6
dmatador said:
mod 2 :(

I was going to say the same...

1 + 1 = 0 mod 2
 

Related to How Can 1+1 Equal 0? Exploring Mathematical Anomalies

1. What is the mystery behind 1+1=0?

The mystery behind 1+1=0 lies in the fact that it goes against our understanding of basic arithmetic. In traditional mathematics, any number added to itself should result in a larger number, not zero.

2. How can 1+1 possibly equal 0?

This is a common question, and the answer lies in the concept of modular arithmetic. In modular arithmetic, numbers wrap around a certain value. In the case of 1+1=0, we are working in a system where the values wrap around at 2, meaning that when we add 1+1, we end up back at 0.

3. Why is it important to understand 1+1=0?

Understanding 1+1=0 is important for understanding and utilizing modular arithmetic in various fields such as computer science and cryptography. It also challenges our traditional understanding of numbers and helps us think outside the box.

4. Are there other examples of numbers adding up to 0?

Yes, in fact, in modular arithmetic, any number added to itself a certain number of times will result in 0. For example, in a system where numbers wrap around at 3, 2+2=1+1=0.

5. How is 1+1=0 used in practical applications?

1+1=0 is used in various practical applications, such as computer programming, where it is used for error detection and correction. It is also used in cryptography to encrypt and decrypt messages. Additionally, it has implications in number theory and algebraic structures.

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