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## Main Question or Discussion Point

I am slightly confused about the diagonal method. Can anyone say if I am mistaken.

i is the imaginary unit.

1|1+i

2|1+i+i

3|1+i+i+i

4|1+i+i+i+i

5|1+i+i+i+i+i

6|1+i+i+i+i+i+i

7|1+i+i+i+i+i+i+i

8|1+i+i+i+i+i+i+i+i

I will now use the diagonal method and make the number i+1+1+1+1+1+1 ...

Therefore the list on the right side isn't complete and is bigger than the naturals.

The problem is that the list on the right side is populated by numbers a+bi

where b and a are natural and its size is therefore N^2.

However N^2 can be put into one to one relation with N and we have a contradiction.

i is the imaginary unit.

1|1+i

2|1+i+i

3|1+i+i+i

4|1+i+i+i+i

5|1+i+i+i+i+i

6|1+i+i+i+i+i+i

7|1+i+i+i+i+i+i+i

8|1+i+i+i+i+i+i+i+i

I will now use the diagonal method and make the number i+1+1+1+1+1+1 ...

Therefore the list on the right side isn't complete and is bigger than the naturals.

The problem is that the list on the right side is populated by numbers a+bi

where b and a are natural and its size is therefore N^2.

However N^2 can be put into one to one relation with N and we have a contradiction.

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