The set of all integers (positive , Negative, and 0 ) is denumerable?
How do you prove this? I have
Set Z = (....-3, -2, -1, 0 , 1 , 2 , 3 ....)
Proof : Z = ( 0, 1, -1, 2, -2, 3, -3...) is this right??
Thank you so much!
Not quite you need to define a bijection (1-1 and onto) function from
$\displaystyle \mathbb{Z} \to \mathbb{N}$
Hint: use a piecewise and send the non positive integers (0,-1,-2,...) to the odd natural numbers and send the positive integers to the even natural numbers.
Good luck