Question

(b) Give a proof showing that the odd numbers have cardinality ℵ0 = |Z+|

Answer 1

Question seems fragmented.

Answer 2

It's not :(

Answer 3

It says "(b)". Where is (a)?

Answer 4

(a) Given two sets A and B and if |A| and |B| denote the cardinality of A and B
respectively, what it meant by |A| < |B|, does it help?

Answer 5

Yes. The notation | | specification was required.

Answer 6

Odd numbers are infinite in number and all belong to the set of integers Z. That should be the basis of your proof.
Got to go.
@ganeshie8

Answer 7

@campbell_st

Answer 8

Thanks, but i think I need some proof in logics language or something

Answer 9

@Zarkon

Answer 10

Cause I am doing logics =/

Answer 11

I think you just have to find a function that maps the natural numbers to the odd integers.