How Can 1+1 Equal 0 in Certain Mathematical Contexts?

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Discussion Overview

The discussion explores the question of how the equation 1 + 1 can equal 0 in certain mathematical contexts, particularly focusing on modular arithmetic. Participants examine the implications of this equation and the reasoning behind it.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a series of transformations suggesting that 1 + 1 could equal 0, questioning where the mistake lies in their reasoning.
  • Another participant references existing threads on the topic, indicating that this is a common area of discussion.
  • There is an acknowledgment from one participant of their struggles with mathematics, suggesting a lack of clarity in understanding the topic.
  • Several participants note that in modular arithmetic, specifically mod 2, the equation 1 + 1 does indeed equal 0.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the initial claim, with some recognizing the validity of 1 + 1 = 0 in mod 2, while others remain uncertain about the broader implications of the original reasoning presented.

Contextual Notes

The discussion includes assumptions about mathematical operations and definitions that may not be universally accepted or understood, particularly regarding the manipulation of complex numbers and modular arithmetic.

Who May Find This Useful

This discussion may be of interest to those exploring modular arithmetic, mathematical reasoning, or the nuances of mathematical definitions and operations.

drc4rd1n
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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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See [thread=134627]this thread[/thread], one of many, many, many, many other threads on this topic.
 
EDIT:

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

orait.thanks!
 
mod 2 :(
 
dmatador said:
mod 2 :(

I was going to say the same...

1 + 1 = 0 mod 2
 

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