1=0 Part I
Algebra
Level
4
Here is my attempt to demonstrate that \(1=0\).
1) \(0=0\)
2) \(0=1-1\)
3) \(n\cdot 0=n(1-1)\), \(n\) is a big natural number.
4) \(0=\underset { n\text{ times} }{ \underbrace { (1-1)+(1-1)+...+(1-1) } } \)
5) \(0=1-1+1-\cdots -1\)
6) \(0=1-(1-1+1-1+\cdots)\)
7) \(0=1-((1-1)+(1-1)+\cdots +(1-1))\)
8) \(0=1-(0+0+\cdots + 0)\)
9) \(0=1\)
In which step is the first error committed?
by
Mateo Matijasevick