Wolf
Thanks though
“simply because some infinities are larger than others. The set of whole numbers is larger than the set of even numbers,”
Only the first half is true. The set of whole numbers and even numbers are both countable infinites and are equal.
Try it:
1 – 2
2 – 4
3- 6
etc …
Even numbers, odd numbers, and integers are all aleph-null and equal.
However where you are correct is the set of real numbers does for m a larger infinite set known as aleph-one.
This set of real numbers cannot be put into a 1:1 correspondence with the set of integers. (see Georg Cantor’s diagonal proof)
Though there are